Pinning consensus for multi‐agent systems with non‐linear dynamics and time‐varying delay under directed switching topology

Name: Work Video:
Duration: 3 min 30 s
Yangling Wang; Jinde Cao; Jianqiang Hu
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230], 'Hu': [120, 231, 4878, 4907], 'Automation,': [123, 234], 'author': [137, 248], 'First': [249], 'published:': [250], '01': [251], 'November': [252], '2014': [253], 'https://doi.org/10.1049/iet-cta.2014.0032Citations:': [254], '12AboutSectionsPDF': [255], 'ToolsRequest': [256], 'permissionExport': [257], 'citationAdd': [258], 'to': [259, 281, 304, 395, 461, 468, 498, 588, 609, 629, 706, 742, 813, 846, 879, 895, 910, 930, 1038, 1136, 1184, 1241, 1304, 1362, 1411, 1438, 1460, 1497, 1679, 1708, 1739, 1787, 1855, 1964, 1990, 2048, 2053, 2303, 2321, 2378, 2385, 2409, 2486, 2577, 2631, 2837, 2971, 3117, 3247, 3453, 3468, 3488, 3531, 3637, 3667, 3695, 3864, 4047, 4144, 4270, 4325, 4351, 4357, 4376, 4882, 5433, 5590], 'favoritesTrack': [260], 'citation': [261], 'ShareShare': [262], 'Give': [263], 'accessShare': [264, 267], 'full': [265], 'text': [266], 'full-text': [268, 283, 307], 'accessPlease': [269], 'review': [270], 'our': [271, 1209, 1347, 3469, 3664, 4302], 'Terms': [272, 295], 'Conditions': [274, 297], 'Use': [276], 'check': [278], 'box': [279], 'below': [280, 303], 'share': [282, 305], 'version': [284, 308], 'article.I': [286], 'have': [287, 657, 675, 861, 1023, 1089, 2054, 2076, 2116, 2164, 2212, 2352, 2366, 2552, 2606, 3089, 3265, 3438, 3588, 4149, 4191, 4330, 4344, 4370], 'read': [288], 'accept': [290], 'the': [291, 301, 324, 342, 366, 382, 385, 401, 418, 430, 439, 442, 445, 459, 470, 473, 506, 517, 523, 649, 652, 661, 664, 682, 693, 708, 735, 751, 779, 782, 793, 796, 817, 821, 848, 873, 887, 891, 899, 914, 933, 959, 965, 983, 989, 992, 994, 997, 1000, 1021, 1061, 1064, 1092, 1096, 1116, 1121, 1130, 1143, 1155, 1168, 1179, 1190, 1200, 1206, 1216, 1243, 1273, 1276, 1281, 1302, 1316, 1327, 1364, 1367, 1388, 1393, 1447, 1479, 1491, 1516, 1520, 1537, 1546, 1551, 1554, 1559, 1566, 1572, 1588, 1591, 1597, 1613, 1621, 1630, 1656, 1664, 1671, 1674, 1680, 1694, 1702, 1710, 1714, 1718, 1744, 1779, 1789, 1856, 1859, 1889, 1927, 1930, 1933, 1962, 1975, 1985, 1994, 1998, 2004, 2009, 2023, 2038, 2043, 2073, 2107, 2110, 2155, 2158, 2172, 2192, 2203, 2217, 2234, 2248, 2251, 2301, 2338, 2359, 2387, 2405, 2418, 2424, 2431, 2435, 2444, 2447, 2461, 2469, 2509, 2513, 2537, 2540, 2562, 2579, 2607, 2614, 2632, 2648, 2653, 2694, 2711, 2714, 2737, 2757, 2762, 2766, 2796, 2810, 2816, 2828, 2884, 2903, 2907, 2914, 2918, 2932, 2938, 2964, 3002, 3012, 3025, 3030, 3053, 3073, 3078, 3082, 3092, 3111, 3114, 3149, 3156, 3187, 3207, 3212, 3216, 3222, 3231, 3243, 3260, 3278, 3337, 3347, 3360, 3369, 3400, 3420, 3425, 3429, 3457, 3497, 3505, 3514, 3539, 3548, 3567, 3580, 3595, 3599, 3606, 3613, 3647, 3651, 3654, 3669, 3681, 3697, 3700, 3727, 3736, 3744, 3753, 3767, 3805, 3810, 3813, 3840, 3857, 3860, 3867, 3917, 3926, 3934, 3938, 3946, 3988, 3993, 3996, 4024, 4040, 4043, 4050, 4074, 4091, 4125, 4135, 4139, 4157, 4185, 4194, 4208, 4212, 4221, 4224, 4243, 4259, 4281, 4286, 4315, 4334, 4354, 4361, 4364, 4378, 4383, 4396, 4406, 4416, 4428, 4433, 4444, 4453, 4458], 'Wiley': [292], 'Online': [293], 'Library': [294], 'UseShareable': [299], 'LinkUse': [300], 'link': [302, 830], 'a': [306, 375, 411, 455, 642, 719, 744, 755, 772, 805, 896, 926, 939, 1137, 1298, 1378, 1418, 1442, 1454, 1541, 1600, 1607, 1651, 1813, 1817, 1897, 1958, 2055, 2067, 2086, 2101, 2297, 2676, 2864, 2980, 3039, 3043, 3172, 3385, 3463, 3562, 3707, 3732, 3872, 3884, 3922, 4150, 4164, 4180, 4203, 4331, 4345, 4502, 4533, 4993, 5189, 5192, 5196, 5338, 5425], 'article': [311], 'your': [313], 'friends': [314], 'colleagues.': [316], 'Learn': [317], 'more.Copy': [318], 'URL': [319], 'Abstract': [320], 'This': [321, 3010, 3140, 3345, 3472, 4169, 4401], 'paper': [322, 1239, 1317, 2014, 4120, 4131, 4390], 'studies': [323], 'leader-following': [325, 360, 431, 1122, 1126, 1156, 1180, 1244, 1573, 1711, 1741, 1976, 2411, 2690, 2715, 3003, 3031, 3098, 3127, 3157, 3338, 3370, 3443, 3702, 4097, 4195, 4379, 5019], 'problem': [327, 433, 513, 556, 850, 1119, 1158, 1182, 1218, 1246, 1328, 1978, 3473, 3541, 3597, 3671, 4099, 4851, 5517], 'in': [328, 476, 522, 562, 592, 660, 680, 754, 763, 770, 826, 1029, 1056, 1083, 1147, 1187, 1219, 1247, 1342, 1371, 1862, 1866, 1932, 1945, 1953, 1967, 1982, 2012, 2033, 2253, 2397, 2421, 2446, 2504, 2512, 2525, 2561, 2582, 2717, 3007, 3159, 3342, 3372, 3446, 3527, 3554, 3571, 3591, 3642, 3680, 3731, 3740, 3763, 3851, 3921, 3930, 4034, 4055, 4062, 4069, 4079, 4086, 4112, 4129, 4174, 4263, 4301, 4388, 4395, 4532, 4604, 4655, 4718, 4760, 4786, 4852, 4988, 5106, 5191, 5219, 5249, 5276, 5372, 5492, 5614, 5649], 'networks': [330, 723, 968, 1016, 1221, 1249, 4720, 4762, 4787, 4854, 4989, 5050, 5111, 5250, 5277, 5494, 5579, 5672], 'agents': [332, 489, 535, 639, 758, 929, 934, 986, 1076, 1097, 1134, 1162, 1223, 1251, 1610, 1619, 2381, 2425, 2436, 2445, 2511, 2573, 3806, 3989, 4209, 4631, 4722, 4789, 5253, 5460], 'coupling': [338, 405, 1257, 4108, 4158, 5223, 5466], 'using': [341, 1260, 2184, 2896, 3478, 3833, 4017, 4179, 4632], 'pinning': [343, 915, 947, 1261, 1632, 3793, 3974, 5026, 5054, 5134], 'control': [344, 525, 903, 916, 925, 948, 1262, 1567, 1633, 1695, 1719, 4558, 5398, 5652], 'method.': [345, 1263], 'The': [346, 554, 746, 1042, 1125, 1234, 1313, 1471, 1579, 2621, 2804, 3758, 3792, 3973, 4096, 4115, 4468, 4481], 'main': [347, 1235, 1348, 2005, 4116], 'contribution': [348, 4117], 'study': [351, 662, 1242, 3454, 3668], 'is': [352, 370, 389, 407, 454, 514, 810, 841, 905, 918, 1036, 1069, 1240, 1297, 1318, 1387, 1392, 1405, 1417, 1428, 1441, 1453, 1482, 1495, 1540, 1550, 1565, 1582, 1587, 1636, 1650, 1663, 1668, 1677, 1737, 1816, 1926, 1946, 1957, 2007, 2015, 2045, 2171, 2208, 2233, 2285, 2292, 2296, 2401, 2529, 2629, 2740, 2814, 2843, 2892, 2969, 2979, 3005, 3056, 3131, 3284, 3340, 3451, 3461, 3575, 3633, 3662, 3717, 3749, 3761, 3795, 3881, 3891, 3937, 3976, 4110, 4132, 4141, 4160, 4170, 4288, 4306, 4322, 4349], 'that': [353, 365, 381, 429, 441, 503, 530, 637, 750, 781, 815, 956, 977, 1034, 1129, 1275, 1382, 1426, 1501, 1604, 1772, 1793, 1842, 1849, 1902, 1942, 2008, 2022, 2037, 2099, 2153, 2202, 2264, 2271, 2278, 2336, 2472, 2489, 2535, 2736, 2870, 2877, 2972, 2991, 3000, 3052, 3091, 3186, 3256, 3271, 3283, 3319, 3326, 3335, 3399, 3512, 3546, 3559, 3578, 3784, 3856, 3908, 3916, 3941, 4039, 4156, 4193, 4220, 4235, 4285, 4313, 4359], 'we': [354, 399, 427, 975, 1324, 1345, 1424, 1489, 1699, 1723, 2150, 2200, 2466, 2605, 2655, 2670, 2685, 2860, 2881, 2899, 2911, 2983, 3088, 3109, 3122, 3252, 3264, 3437, 3560, 3586, 3603, 3780, 3819, 3837, 3906, 3963, 4002, 4021, 4154, 4190, 4231], 'obtain': [355, 1612, 1701, 2386, 2430, 2578, 2833, 2883, 2901, 2913, 2985, 3124, 3605, 3809, 3839, 3965, 3992, 4023, 4211], 'two': [356, 1111, 1358, 1760, 3440, 3690, 3737, 3927, 5434], 'classes': [357], 'sufficient': [359, 1268, 2689], 'criteria': [362, 474, 858, 943, 2692, 3445, 4261], 'without': [363, 379], 'assuming': [364, 380], 'among': [368, 410, 444, 1280, 1997, 2041, 4138, 4163], 'followers': [369, 446, 1282, 1999, 2044, 4140, 4321, 4339], 'strongly': [371, 785, 801, 2050, 2102, 4146, 4327], 'connected': [372, 786, 802, 882, 2051, 2103, 4147, 4328, 4888, 4937, 4965, 5554], 'or': [373, 634, 803, 883, 1102, 1291, 1875, 2052, 2211, 2499, 4148, 4329], 'has': [374, 447, 585, 616, 1052, 1283, 1904, 2066, 2474, 2491, 3141], 'spanning': [376, 807, 1293, 2056, 2088, 2501, 2515, 4151, 4332, 4346], 'tree,': [377, 4152, 4333], 'derivative': [383, 1857, 2805, 2885, 3112, 4222], 'communication': [387, 822, 972, 998, 1027, 1045, 1169, 1192, 1229, 1665, 1883, 1995, 2039, 3584, 3640, 3655, 3728, 3918, 4743, 5524], 'less': [390, 1893, 3119], 'than': [391, 1894, 3120], '1.': [392, 3529, 3944], 'In': [393, 789, 1019, 1150, 1321, 1355, 1486, 2567, 2682, 3085, 3618, 3687, 3815, 3998], 'addition,': [394, 3619], 'be': [396, 435, 547, 880, 953, 1377, 1498, 1523, 1847, 1991, 2020, 2049, 2093, 2226, 2383, 2483, 2487, 2575, 2721, 3034, 3118, 3163, 3376, 3475, 3502, 3622, 3776, 4145, 4198, 4218, 4326], 'practical': [398, 843, 3636, 4173], 'consider': [400, 3638], 'general': [402], 'network': [403, 756, 799, 875, 1521, 1987, 2011, 3581, 3874, 4127, 5464], 'whose': [404, 2967], 'arbitrarily': [408, 1039, 4161], 'finite': [412, 1001, 4165], 'set': [413, 1389, 1394, 1928, 4166], 'topologies.': [415, 4168], 'Based': [416, 2853], 'on': [417, 579, 627, 697, 964, 1047, 1091, 1215, 1599, 1625, 2854], 'common': [419, 643, 4181], 'Lyapunov': [420, 704, 4182], 'theory': [421, 705], 'linear': [423, 1099, 2623, 4186, 4912, 5428], 'matrix': [424, 1473, 1494, 2062, 2111, 2159, 2174, 2197, 2236, 2541, 2599, 2624, 2646, 2945, 3046, 3175, 3301, 3388, 3515, 3549, 3794, 3975, 4187, 4287, 4365, 5647], 'inequalities': [425, 5648], 'approach,': [426], 'prove': [428], 'can': [434, 496, 557, 1141, 1522, 1611, 1700, 2092, 2151, 2225, 2403, 2429, 2467, 2482, 2532, 2720, 2832, 2882, 2912, 2984, 2988, 3033, 3096, 3123, 3162, 3253, 3323, 3375, 3474, 3501, 3781, 3808, 3838, 3964, 3991, 4022, 4197, 4210, 4226], 'solved': [436, 3476], 'only': [437, 924, 1071, 1606, 2082, 3804, 3987, 4202], 'assumption': [440, 780, 1274], 'p': [448, 1284, 1905, 2025, 2281, 2283, 2475, 2492, 2572], '(p': [449, 1285, 1906, 2476, 2493], '>': [450, 1286, 1465, 1661, 1685, 1811, 1836, 1839, 1907, 2026, 2144, 2274, 2477, 2494, 2603, 2867, 2930, 2947, 2977, 3276, 3298, 3303], '1)': [451, 1287, 1908, 2478, 2495], 'there': [453, 1211, 1296, 1404, 1452, 1503, 1758, 1850, 1956, 2268, 2295, 2724, 2862, 3037, 3166, 3379, 3620], 'path': [457, 1300, 1434, 1960, 2299], 'from': [458, 621, 1301, 1408, 1430, 1435, 1457, 1948, 1961, 2096, 2261, 2300, 2333, 2457, 2873, 2917, 2959, 3268, 3317], 'leader': [460, 1303, 1581, 1676, 1745, 1963, 2302, 4342], 'each': [462, 1067, 1305, 1530, 1534, 1563, 1943, 1965, 2266, 2304, 2341, 2398, 2526, 2743, 3059, 3193, 3308, 3406, 3715, 3747, 3879, 4271, 4291], 'follower.': [463], 'Two': [464], 'examples': [465, 1359, 3692], 'are': [466, 504, 1110, 1212, 1360, 1504, 1851, 2325, 2440, 2517, 3105, 3190, 3403, 3524, 3551, 3693, 3849, 3955, 4032, 4268, 4478, 4491], 'presented': [467], 'show': [469, 1363, 2152], 'applications': [471, 591, 1146, 5432], 'obtained': [475, 728, 1370], 'study.': [478], '1': [479, 1732, 1822, 1895, 2027, 2059, 2098, 2420, 2459, 2856, 3270, 3434, 3773, 3952, 4265, 4477], 'Introduction': [480], 'Multi-agent': [481], '(MASs)': [483], 'consist': [484], 'multiple': [486, 1048, 5258], 'interacting': [487], 'autonomous': [488, 532, 4630], 'governed': [490], 'some': [492, 500, 729, 902, 1074, 1086, 1267, 1309, 1333, 1726, 2657, 2688, 2922, 3134, 3623], 'local': [493, 646], 'rules,': [494], 'which': [495, 528, 545, 923, 1140, 1307, 1414, 1667, 1815, 2276, 2380, 2556, 3104, 3130, 3802, 3848, 3890, 3985, 4031, 4311], 'cooperate': [497], 'solve': [499], 'complex': [501, 1015, 5140, 5336, 5577], 'tasks': [502], 'beyond': [505], 'capabilities': [507], 'any': [509, 1750, 1774, 1853, 2588, 2594, 2638, 2644, 2927, 2944, 3273, 3295, 4228], 'individual': [510], 'agent.': [511, 1564], 'Consensus': [512], 'one': [515, 1526, 1951, 2395, 2442, 2523, 2831, 2987, 3125, 3322, 4341], 'most': [518, 957], 'important': [519, 613, 761, 907, 1011, 2376, 2559, 3142, 4299], 'research': [520], 'topics': [521], 'coordination': [524], 'MASs,': [527], 'means': [529, 733, 1415], 'all': [531, 638, 932, 1133, 1618, 2042, 2072, 2106, 2154, 2337, 2358, 2508, 2536, 4207, 4360], 'mobile': [534, 4629], 'asymptotically': [536, 640], 'reach': [537, 911, 935], 'an': [538, 631, 760, 1010, 1352, 1406, 2375, 2558, 4298], 'agreement': [539], 'upon': [540], 'certain': [541], 'quantities': [542], 'interest,': [544], 'might': [546], 'position,': [548], 'velocity,': [549], 'temperature': [550], 'so': [552, 578, 605, 837, 1005, 3658], 'on.': [553, 606, 1006, 3659], 'model': [558], 'many': [559, 1867], 'fundamental': [560], 'phenomena': [561], 'nature,': [563], 'such': [564, 636, 1771, 1841, 1870, 2270, 2735, 2869, 3051, 3185, 3398, 3511, 3545], 'as': [565, 1319, 1584, 1871, 2228, 2996, 3331, 3525, 3552, 3610, 3612, 3883, 3940, 4479, 4492], 'flocking': [566, 5077], 'motion': [567, 4934], 'birds,': [569], 'schooling': [570], 'fishes,': [572], 'collectively': [573], 'migrating': [574], 'mammals': [576], '[1,': [580], '2],': [581], 'also': [583, 906, 1053, 1078, 2520, 3750, 4216], 'it': [584, 615, 625, 840, 2018, 2259, 2291, 2331, 2531, 3632, 3661], 'been': [586, 658, 676, 862, 1054, 1886], 'found': [587], 'possess': [589], 'extensive': [590], 'real': [593, 1148, 2078, 2118, 2166, 2214, 2354, 2368, 2554, 2589, 2639, 3643, 4175, 4372], 'world,': [594], 'including': [595], 'unmanned': [596], 'air': [597], 'vehicle': [598, 4560], 'formations,': [599], 'social': [600], 'sciences,': [601], 'particle': [602], 'physics': [603], '[3–5].': [607], 'Owing': [608], 'its': [610, 1080, 1753, 5588], 'universality': [611], 'applications,': [614], 'recently': [617], 'received': [618], 'increasing': [619], 'attention': [620], 'various': [622, 668], 'perspectives': [623], 'focuses': [626], 'how': [628], 'design': [630], 'appropriate': [632], 'protocol': [633, 1635, 1697, 1721], 'algorithm': [635], 'approach': [641, 4881], 'pattern': [644], 'via': [645, 946, 4857, 4992, 5025, 5051, 5081], 'interactions': [647, 818, 984], 'between': [648, 819, 985, 3735, 3859, 3925, 4042, 4073, 4090], 'agents.': [650], 'Over': [651], 'past': [653], 'decade,': [654], 'much': [655], 'progress': [656], 'made': [659], 'problems': [666, 695, 777, 1094, 1877, 4785], 'models,': [669], 'simultaneously': [671], 'several': [672], 'effective': [673, 909, 920], 'approaches': [674], 'proposed.': [677], 'For': [678, 2413, 2652, 2663], 'example,': [679, 869, 2414], '[6–9],': [681], 'authors': [683, 794, 1022], 'used': [684, 3694], 'single': [685, 1030, 4994], 'integrator': [686, 1031, 1543], 'agent': [687, 1068, 1436, 1439, 1544, 1681, 2396, 2524, 3716, 3880], 'MASs': [690, 852, 2407], 'studied': [692, 769, 4128], 'based': [696, 1624], 'graph': [698, 1381, 1480, 1539, 2104], 'theory.': [699], 'Moreau': [700], '[10]': [701], 'applied': [702], 'set-valued': [703], 'investigate': [707, 847, 1571], 'stability': [709, 740, 4768, 5665], 'system': [712, 1577, 1705, 1715, 1735, 1746, 2718, 2801, 2829, 2919, 3008, 3094, 3160, 3227, 3244, 3343, 3373, 3609, 3710, 4534, 5547, 5650], 'changing': [714, 4660, 5194], 'topology.': [715, 855, 1233], 'Proskurnikov': [716], '[11]': [717], 'proposed': [718, 3701], 'class': [720, 5426], 'couplings': [726, 5281], 'convergence': [730], 'conditions': [731, 753, 889, 1269, 2024, 2634, 4356], 'Kalman–Yakubovich–Popov': [736], 'lemma': [737], 'absolute': [739, 4767], 'techniques,': [741], 'name': [743], 'few.': [745], 'existing': [747, 1310], 'results': [748, 1369, 2681], 'manifest': [749], 'connectivity': [752, 888, 4355, 4393], 'plays': [759, 1009, 2557, 4297], 'role': [762, 1012, 2560, 4300], 'reaching': [764], 'consensus.': [765, 912, 2412], 'Olfati–Saber': [766], 'Murray': [768, 4552, 4782], '[12]': [771], 'systematical': [773], 'framework': [774], 'digraph': [783, 4137, 4316, 4335], 'was': [784, 800, 877, 944, 1159, 1171, 1203, 1785, 1988, 2000, 4403], 'balanced.': [788], '[6–9,': [790], '13,': [791, 1107], '14],': [792], 'required': [795, 878, 1338, 1786, 2047, 4143, 4324], 'underlying': [797, 1277], 'contained': [804], 'tree.': [808, 2057, 2089, 4347], 'It': [809, 951, 3315, 3450, 3574, 4215, 4348], 'well': [811, 3576], 'known': [812, 3577], 'us': [814, 845, 2416], 'during': [816, 982], 'agents,': [820, 993, 1603, 2221, 3714, 3878], 'may': [824, 979], 'change': [825], 'time': [827, 1531, 5674], 'because': [828, 987, 3645], 'failures,': [831], 'packet': [832], 'drops,': [833], 'node': [834, 1409, 1412, 1458, 1461, 1535, 1944, 1952, 4823], 'failure': [835], 'on,': [838], 'thus': [839, 2982], 'Various': [856], 'methods': [860], 'given': [863, 3439, 3464, 3868, 4051, 4262], 'topology,': [866, 1166], 'see': [867, 2417], '[10,': [870], '15–18],': [871], 'where': [872, 1189, 1925, 1984, 2120, 2168, 2229, 2317, 2610, 2627, 2756, 2803, 2949, 3072, 3206, 3229, 3320, 3419, 3513, 3547, 3720, 3894], 'associated': [874, 1201, 1986, 2010, 2406, 3600, 4136], 'frequently': [881], 'jointly': [884, 4887, 4936, 4964, 5553], 'connected.': [885, 2001], 'Although': [886], 'influences': [890], 'achievement': [892], 'great': [897, 3589, 3665], 'extent,': [898], 'introduction': [900], 'schemes': [904], 'Especially,': [913], 'scheme': [917, 3760, 3936, 4066], 'economical,': [922], 'fraction': [927, 1608, 4205], 'make': [931, 1617, 2404, 2533], 'ultimately.': [937], 'Subsequently,': [938, 2925], 'series': [940], 'established': [945], 'method': [949], '[19–24].': [950], 'should': [952, 1846, 2019, 2382, 2574, 4217], 'pointed': [954], 'out': [955], 'above-mentioned': [960, 2571], 'publications': [961], 'mainly': [962], 'focused': [963, 1090], 'ideal': [966], 'interconnection': [967], 'lack': [970], 'delay.': [973], 'However': [974], 'know': [976, 2201, 2861], 'time-delay': [978, 1008, 3460, 3500, 4225], 'arise': [980], 'naturally': [981], 'moving': [990], 'congestion': [995, 3652], 'channels,': [999], 'transmission': [1002, 3649], 'speed': [1003], 'Hence': [1007, 1085, 1629], 'when': [1013, 1823, 3593], 'modelling': [1014], 'realistically.': [1018], '[25–27],': [1020], 'taken': [1024], 'into': [1025], 'account': [1026], 'showed': [1033, 3090], 'robust': [1037], 'large': [1040], 'delays.': [1041, 3617, 3630], 'effect': [1043], 'time-delays': [1046, 5551], "agents'": [1049, 3861, 4044, 4075, 4092], 'behaviour': [1051, 4603], 'analysed': [1055], '[15,': [1057], '28,': [1058], '29].': [1059], 'On': [1060, 4280], 'other': [1062, 1075, 2074, 2904, 4282], 'hand,': [1063, 2905, 4283], 'not': [1070, 1172, 2046, 4142, 4233, 4323], 'affected': [1072], 'but': [1077, 1199], 'intrinsic': [1081, 1560], 'practice.': [1084], 'recent': [1087], 'works': [1088, 1214], '[30–32]': [1101], '[8,': [1105], '9,': [1106], '18].': [1108], 'There': [1109], 'types': [1112], 'problems:': [1115], 'leaderless': [1117], 'problem.': [1124], 'requires': [1128], 'state': [1131, 1346, 1552, 1589], 'converge': [1135, 3863, 4046], 'desired': [1138], 'trajectory,': [1139], 'broaden': [1142], 'scope': [1144], 'world.': [1149, 4176], '[18,': [1151], '20,': [1152], '33,': [1153], '34],': [1154], 'addressed': [1160], 'undirected': [1164, 1992, 5139], 'while': [1167, 2434], 'considered.': [1173], 'Recently,': [1174], 'Jia': [1175, 5544], 'et': [1176, 1972], 'al.': [1177, 1973], 'investigated': [1178, 1887, 1974, 4111, 4387], 'related': [1183], '[35],': [1188, 1778, 1983], 'were': [1197, 1885, 1892], 'involved,': [1198], 'undirected.': [1204], 'To': [1205], 'best': [1207], 'knowledge,': [1210], 'few': [1213], 'purpose': [1236], 'We': [1264, 1569, 1594, 3914, 4246, 4374], 'will': [1265, 1570, 1595, 2686, 3587], 'give': [1266, 1326, 1351, 2687], 'interaction': [1278, 4661], 'topologies': [1279, 3738, 3928, 4059, 4083, 4691, 5256], 'disjoint': [1288, 1909, 2479, 2496], 'strong': [1289, 1910, 1936, 2399, 2448, 2452, 2480, 2497, 2527], 'components': [1290, 1911, 2498], 'trees,': [1294], 'follower,': [1306, 2305], 'improve': [1308], 'results.': [1312], 'outline': [1314], 'follows.': [1320], 'Section': [1322, 1343, 1356], '2,': [1323, 1647, 2667, 2747, 2753, 2822, 2850, 2898, 2953, 3063, 3069, 3197, 3203, 3237, 3312, 3410, 3416, 3436, 3521, 3533, 3903, 4000, 4007], 'first': [1325, 1724], 'statement,': [1329], 'then': [1331, 1463, 1616, 1683, 1692, 2222, 2255, 2290, 2306, 2357, 2958, 3023, 3293, 3358, 3724, 3831, 3905, 3962, 4015, 4258], 'present': [1332], 'definitions,': [1334, 1727], 'lemmas': [1335], 'assumptions': [1337, 1728], 'throughout': [1339], 'paper;': [1341], '3,': [1344, 2149, 2392, 3029, 3522, 3800, 4310], 'result': [1349], 'intuitive': [1353], 'explanation.': [1354], '4,': [1357, 2423, 2859, 3932], 'provided': [1361], 'application': [1365, 5589], 'theoretical': [1368], 'paper.': [1373, 1864, 2662, 3573, 4114], '2': [1374, 2426, 2437, 2586, 2880, 3027, 3362, 3775, 3826, 3954, 4267, 4490], 'Preliminaries': [1375], 'Let': [1376, 1691, 2956, 3766, 3945], 'weighted': [1379, 1448, 1492, 1507, 3768, 3947], 'consists': [1383], 'N': [1385, 2220, 4320, 4338], 'nodes.': [1386], 'nodes,': [1391], 'edges,': [1397], '(vi,': [1399], 'vj)': [1400], '∈': [1401, 2137, 2745, 2751, 2951, 3061, 3067, 3195, 3201, 3310, 3408, 3414], 'ℰ': [1402], 'indicates': [1403], 'edge': [1407, 1456], 'vi': [1410, 1416, 1437], 'vj,': [1413], 'neighbour': [1419], 'vj': [1421, 1427, 1440, 1459], 'meanwhile': [1423, 4153], 'say': [1425], 'reachable': [1429, 1947], 'vi.': [1431], 'A': [1432, 1513], 'sequence': [1443], 'edges': [1445], 'represents': [1446], 'adjacency': [1449, 1493, 1508, 3769, 3948], 'matrix,': [1450, 2767, 3083, 3217], 'if': [1451, 1748, 1939, 2080, 2083, 2507, 2723, 3036, 3165, 3378, 3579, 3818, 4001, 4201], 'vi,': [1462], 'aij': [1464, 1468], '0,': [1466, 1686, 1837, 2275, 2604, 2777, 2868, 2931, 2948, 3022, 3277, 3357, 3799, 3981, 3982], 'otherwise,': [1467], '=': [1469, 1475, 1689, 1765, 1825, 1828, 1914, 2122, 2131, 2179, 2242, 2313, 2348, 2548, 2601, 2665, 2776, 2780, 2786, 2820, 2848, 3021, 3177, 3235, 3356, 3390, 3519, 3756, 3786, 3789, 3797, 3822, 3825, 3829, 3901, 3910, 3959, 3967, 3970, 3978, 4005, 4010, 4013, 4276, 4293], '0.': [1470, 1690, 2145], 'Laplacian': [1472, 2061, 2173, 2196, 2235], 'L': [1474, 2063, 2112, 2160, 2169, 2198, 2206, 2223, 2230, 2279, 2322, 2342, 2362, 2542, 2782, 4366], '(lij)N': [1476], '×N': [1477], 'G': [1481, 2065, 2084], 'defined': [1483, 3526, 3553], '.': [1485, 1775, 1843, 1954, 2256, 2794, 3220, 3721, 3725, 3791, 3898, 3972], 'paper,': [1488], 'assume': [1490, 1941, 3915, 4155, 4234], 'allowed': [1496], 'dynamically': [1499, 4659, 5193], 'changed,': [1500], 'is,': [1502, 1605, 1794, 3001, 3336], 'm': [1505], 'possible': [1506], 'matrices': [1509, 1763, 2640, 2733, 3049, 3183, 3396, 3770, 3844, 3949, 4027, 4249, 4471, 4484], '{A': [1510], '1,': [1511, 1915, 2132, 2180, 2243, 2314, 2349, 2549, 2666, 2821, 2849, 3087, 3121, 3155, 3236, 3368, 3490, 3520, 3742, 3817, 4277, 4294], '…,': [1512, 1648, 1767, 1916, 1920, 2124, 2133, 2139, 2181, 2244, 2315, 2350, 2550, 2668, 2748, 2754, 2823, 2851, 2954, 3064, 3070, 3179, 3198, 3204, 3238, 3313, 3392, 3411, 3417, 4278, 4295], 'm}': [1514, 1649], 'topological': [1517, 2825, 3240], 'structure': [1518, 2826, 3241], 'described': [1524, 1583, 3718, 3892], 'them': [1528], 'at': [1529, 1949, 2393, 2521, 2569], 'instant.': [1532], 'Suppose': [1533], 'dynamic': [1542, 4913, 5252], 'following': [1547, 1631, 1703, 2608, 2622, 2633, 2649, 2738, 2797, 2915, 2933, 2965, 3054, 3188, 3223, 3279, 3401, 3506, 5457], '(1)where': [1549], 'i': [1555, 1934, 2030, 2241, 2308, 2312, 2319], 'th': [1556, 1935, 2818], 'agent;': [1557], 'describing': [1558], 'input.': [1568], '(1).': [1578], 'virtual': [1580, 1592, 1675], 'follows': [1585, 2260, 2332, 2872, 3267, 3316, 4480, 4493], '(2)where': [1586], 'leader.': [1593, 3814, 3997], 'impose': [1596], 'controller': [1598], 'subset': [1601], "leader's": [1614, 1622, 2388, 2432, 2580, 4213], 'information,': [1615, 2433], 'follow': [1620], 'trajectory': [1623], 'their': [1626], "neighbour's": [1627], 'information.': [1628, 2389, 4214], 'considered': [1637], '(3)where': [1638], 'σ': [1639], '(t)': [1640, 1660, 2612, 2808, 2888, 2891, 2993, 3290, 3328, 3958], ':': [1641], '[0,': [1642], '+': [1643, 2113, 2162, 2345, 2364, 2545, 4368], '∞)': [1644], '→': [1645, 2994, 2998, 3329, 3333], '{1,': [1646, 2138, 2746, 2752, 2952, 3062, 3068, 3196, 3202, 3311, 3409, 3415], 'piecewise': [1652], 'right-continuous': [1653], 'function': [1654, 1781, 2592, 4183, 4237], 'representing': [1655], 'signal;': [1658], 'τ': [1659, 1835, 2611, 3289, 3510, 3544, 3778, 3785, 3957, 3966], '0': [1662, 1812, 1840, 2129, 2310, 2978, 2995, 3287, 3299, 3304, 3330], 'time-varying.': [1669], 'If': [1670, 2257, 3108], 'information': [1672, 2581, 3811, 3994], 'available': [1678], 'i,': [1682], 'di': [1684, 1688, 2127, 2143], 'otherwise': [1687], '(3),': [1698, 1722, 4704, 5089, 5152], 'error': [1704, 3608], '(4)In': [1706], 'order': [1707, 3734, 3924, 5369], 'discuss': [1709], '(1)': [1716, 1736], 'introduce': [1725, 2656, 4247], 'lemmas.': [1730], 'Definition': [1731], '[29].The': [1733], 'said': [1738], 'achieve': [1740, 2410, 3097], '(2)': [1747], 'initial': [1751], 'conditions,': [1752], 'solution': [1754], 'satisfies': [1755, 2613], 'Assumption': [1756, 1821, 1831, 1900, 2034, 2148, 2262, 2391, 2615, 2838, 2855, 2879, 3269, 4309], '1.Assume': [1757], 'exist': [1759, 1833, 2725, 3038, 3167, 3380], 'positive': [1761, 2077, 2117, 2165, 2213, 2353, 2367, 2553, 2645, 2726, 2732, 2845, 3040, 3044, 3048, 3168, 3173, 3182, 3381, 3386, 3395, 3842, 4025, 4289, 4371, 4470, 4483], 'diagonal': [1762, 2326, 2677, 3045, 3174, 3387, 4248], 'P': [1764, 1824, 3900, 4250], 'diag{p1,': [1766], 'pn}': [1768], ',': [1770, 1924, 1940, 2258, 2267, 2628, 2734, 2769, 2770, 2771, 2772, 2773, 2793, 2835, 2910, 2957, 3050, 3184, 3219, 3263, 3397, 3723, 3895, 3896], 'Remark': [1776, 1844, 1970, 2090, 2146, 2334, 2371, 2464, 2565, 2841, 3431, 3557], '1.In': [1777], 'f': [1782, 1798, 3017, 3352, 4238, 4254], '(t,': [1783, 1796, 1799, 3018, 3353, 4239, 4255], 'x)': [1784], 'satisfy': [1788, 4242], 'classic': [1790, 4244], 'Lipschitz': [1791], 'condition,': [1792], '∥f': [1795], 'x)−': [1797], 'y)': [1800], '∥': [1801, 1804, 1808], '≤': [1802, 3291], 'l': [1803, 1810], 'x': [1805, 3019, 3354, 4240], '−': [1806, 2787, 2789, 2791], 'y': [1807], 'constant,': [1814, 2981], 'special': [1818, 3624], 'case': [1819, 3614], 'I,': [1826, 5147], 'Ξ': [1827, 3909, 4252], 'l2': [1829], 'I.': [1830], '2.There': [1832], 'constants': [1834, 2727, 3169, 3382], 'ϱ': [1838, 3153, 3366, 3788, 3969], '2.It': [1845], 'noted': [1848, 2021, 4219], 'no': [1852], 'limitations': [1854], 'However,': [1865, 3631], 'previous': [1868], 'literatures,': [1869], '[28,': [1872], '36–39],': [1873], 'synchronisation': [1876], 'delays': [1884, 3641, 3679, 5224, 5586], "delays'": [1890], 'derivatives': [1891], 'being': [1896], 'basic': [1898], 'assumption.': [1899], '3.Assuming': [1901], 'Gk': [1903, 2473, 2490, 4317], 'k': [1913, 2161, 2170, 2178, 2207, 2224, 2363, 2744, 2817, 2847, 3060, 3194, 3232, 3407, 4292, 4367], 'm,': [1917], 'namely': [1918], 'S1,': [1919], 'Sp': [1921], 'nodes': [1931, 2252], 'component.': [1937], 'Additionally,': [1938], 'least': [1950, 2394, 2522, 2570], 'Moreover,': [1955, 2017], 'follower': [1966], 'every': [1968], 'Gk.': [1969], '3.Jia': [1971], 'assumed': [1989], 'One': [2002], 'differences': [2006], 'directed.': [2016], '≠': [2031, 2309], 'j': [2032, 3518], '3': [2035, 2263, 2373, 2618, 2679, 2839, 3364, 3482, 3854], 'imply': [2036], 'Lemma': [2058, 2097, 2458, 2585, 2617, 2635, 2858, 2897, 3481], '[40].The': [2060], 'simple': [2068, 2923, 3691], 'zero': [2069, 2210, 3865, 4048], 'eigenvalue': [2070], 'eigenvalues': [2075, 2108, 2156, 2204, 2339, 2360, 2538, 4362], 'parts': [2079], 'contains': [2085, 3582, 4121], '4.It': [2091], 'easily': [2094, 2989, 3254, 3324, 3611, 3782], 'derived': [2095], 'G,': [2105], 'D': [2114, 2121, 2163, 2307, 2318, 2346, 2365, 2546, 3796, 3977, 4369], 'must': [2115, 3621, 4343], 'parts,': [2119, 2167, 2355, 2555], 'diag{d1,': [2123], 'dN}': [2125], '≥': [2128], '(i': [2130], 'N)': [2134], '∃i': [2136], 'N}': [2140], 's.': [2141], 't.': [2142], '5.Under': [2147], 'associate': [2175, 2237], 'Gk,': [2177], 'm.': [2182, 2852], 'Proof.By': [2183], 'Ger': [2185], 'gorin': [2186], 'disc': [2187], 'theorem': [2188], '[41],': [2189], 'combining': [2190, 2962], 'zero-row-sum': [2193], 'condition': [2194, 2470, 4394], 'k,': [2199, 2231, 2280, 2323, 2343, 2543, 2783], 'either': [2209], 'parts.': [2215, 2369, 4373], 'Rearranging': [2216], 'indices': [2218], 'partitioned': [2227], 'ii': [2232, 2324, 2344, 2544], 'Si': [2239], 'Denote': [2246], 'ni': [2247], 'number': [2249, 4441], 'Si,': [2254], 'exists': [2269, 2863], 'ak,': [2272], 'lj': [2273], 'implies': [2277, 4312], '+1': [2282, 2284], 'strictly': [2286], 'diagonally': [2287], 'dominant': [2288], 'non-singular.': [2293], 'As': [2294], 'p,': [2316], 'corresponding': [2320, 3607], 'blocks': [2327], 'D.': [2329, 4575], 'Thus,': [2330, 3321, 3660], '4': [2335, 2636, 3684], 'i(i': [2347, 2547], 'p)': [2351, 2551], '□': [2370, 3014, 3349], '6.Assumption': [2372], 'provides': [2374], 'clue': [2377], 'determine': [2379], 'pinned': [2384, 2402, 2576], 'Under': [2390], 'component': [2400, 2449, 2453, 2528], 'likely': [2408], 'let': [2415], 'Fig.': [2422, 3741, 3764, 3853, 3931, 4036, 4053, 4060, 4067, 4077, 4084], '5': [2428, 2439, 4037, 4094], 'exactly': [2441], '1,2,3': [2450], '4,5,6,': [2454], 'respectively.': [2455, 2894], 'Actually,': [2456], 'proof': [2462, 2563], '5,': [2465, 2842], 'find': [2468], '"': [2471, 2488], 'components"': [2481], 'further': [2484, 2900, 3455, 4352], 'loosen': [2485, 4353], 'trees".': [2502], 'Because': [2503], 'case,': [2506], 'root': [2510], 'trees': [2516], 'pinned,': [2518, 2530], 'sure': [2534], '5.': [2566], 'short,': [2568], 'case.': [2584], '[11].For': [2587], 'differentiable': [2590], 'vector': [2591], 'n': [2595, 2597, 4296], '×': [2596], 'constant': [2598, 2865, 2928, 3041, 3274, 3296], 'W': [2600], 'WT': [2602], 'inequality': [2609, 2625, 2650, 2966, 3280, 4188], '2.': [2616, 3556, 3765], '[42].(Schur': [2619], 'Complement)': [2620], '(LMI)': [2626], 'equivalent': [2630], '[43].For': [2637], 'X,': [2641], 'Y': [2642], 'U,': [2647], 'holds': [2651, 2936, 3282], 'convenience,': [2654], 'notations': [2658], 'employed': [2659], 'through': [2660], 'r': [2664, 2750, 2950, 3066, 3200, 3309, 3413, 4275], 'n,': [2669], 'denote': [2671], 'diag{': [2672], '⋯': [2673], '}': [2674], 'denotes': [2675], 'matrix.': [2678, 3430], 'Main': [2680], 'section,': [2684, 3689], 'appropriately': [2705], 'constructing': [2706], 'Lyapunov–Krasovskii': [2707, 2798, 3224], 'functional.': [2708], 'Theorem': [2709, 3086, 3147, 3489, 3528, 3532, 3555, 3816, 3999], '1.Under': [2710], 'Assumptions': [2712, 3026, 3150, 3361], '1–3,': [2713], '(4)': [2719, 2802, 2813, 2920, 3095, 3161, 3228, 3374], 'achieved': [2722, 3006, 3035, 3164, 3341, 3377, 4199], 'δ1,': [2728, 3494], 'δ2,': [2729, 3042, 3495], 'δ3': [2730, 2976, 3828], 'LMI': [2739, 3055, 3485, 3835, 4019], 'satisfied': [2741, 3057, 3191, 3306, 3404], 'm},': [2749, 3065, 3199, 3412], 'n},': [2755, 3071, 3205, 3418], 'symbol': [2758, 3074, 3208, 3421], '*': [2759, 3075, 3209, 3422], 'stands': [2760, 3076, 3210, 3423], 'symmetric': [2763, 3079, 3213, 3426], 'part': [2764, 3080, 3214, 3427], 'Πkr,': [2774, 2778, 2784, 3516], '23': [2775], '24': [2779], 'δ2': [2781, 2929, 3824, 4012], '33': [2785], '(1': [2788], 'ϱ)Φ': [2790], 'Ψ,': [2792], 'Proof.Define': [2795, 3221], 'functional': [2799, 3225], 'V': [2807, 2992, 3327], 'along': [2809], 'trajectories': [2811], 'Consider': [2815, 3230], '(k': [2819, 3234], 'm)': [2824, 3239], '(4),': [2830, 4510, 5535, 5559], '(5)where': [2834], 'according': [2836, 3467], 'always': [2844, 2935, 2941, 3281], 'δ1': [2866, 3821, 4009], '(6)It': [2871], '(5)': [2874], '(6)': [2876], '(7)Under': [2878], 'V2': [2887], 'V3': [2890], '(8)and': [2893], 'By': [2895], '(9)On': [2902], 'recalling': [2906], 'denotation': [2908], 'equation': [2916, 2934, 2939], 'deductions': [2924], '(10)Similarly,': [2937], '(11)is': [2940], 'hold': [2942], 'Ψ': [2946, 3847, 4474], 'n}.': [2955, 3314], '(7)–(11),': [2960], 'derivation': [2968], 'similar': [2970], '(6),': [2974, 4543, 4642, 4732, 4973, 5412, 5443], 'Therefore': [2986], 'conclude': [2990, 3325], 't': [2997, 3332, 3755], '∞,': [2999, 3334], '(4).': [3009, 3245, 3344], 'completes': [3011, 3346], 'proof.': [3013, 3348], 'Corollary': [3015, 3350], '1.When': [3016], 'i(t))': [3020, 3355], 'switched': [3093, 3673, 4384], 'solving': [3101], 'mn': [3102], 'LMIs': [3103, 3135, 3189, 3402], '4N': [3106], 'order.': [3107, 3139], 'restrict': [3110], 'another': [3126], 'criterion,': [3129], 'expressed': [3132], 'comparatively': [3137], 'lower': [3138], 'significance': [3143], 'large-scale': [3145], 'networks.': [3146], '2.Under': [3148], '1–3': [3151], '<': [3154, 3288, 3367], 'β1,': [3170, 3383, 3537], 'β2,': [3171, 3384], 'Q': [3176, 3389, 4004], 'diag{q1,': [3178, 3391], 'qn},': [3180, 3393], '-th': [3233], 'Similar': [3246], '(5),': [3248, 4592, 4612, 4669, 4896, 5600], '(8)': [3249], '(9),': [3251, 4568, 4801, 4942, 5033, 5288], 'derive': [3255, 3783, 3907], '(12)': [3257], '(13)': [3258], '(14)Following': [3259], 'expression': [3261], '(15)It': [3266], 'β1': [3275], '(16)Also,': [3285], 'since': [3286], 'τ,': [3292], 'β2': [3297, 3538], 'Σ': [3302, 4030, 4487], '(17)is': [3305], '(12)–(17)': [3318], '2.When': [3351], '7.In': [3432], 'Theorems': [3433, 4264], 'kinds': [3441], 'terms': [3447], 'LMIs.': [3449], 'essential': [3452], 'what': [3456], 'maximum': [3458, 3498], 'admissible': [3459, 3499], 'criteria.': [3471, 3704, 4304], 'Schur': [3479], 'Complement': [3480], "Matlab's": [3484], 'Toolbox.': [3486], 'According': [3487, 3530], 'selected': [3492, 3535], 'coefficients': [3493, 3536], 'δ3,': [3496], 'determined': [3503], 'optimisation': [3507, 3540], 'problem:': [3508], 'Maximise': [3509, 3543], 'ij(i,': [3517], '4)': [3523], 'is:': [3542], 'ϒkr': [3550], '8.Note': [3558], 'adopt': [3561], 'uniform': [3563, 3616], 'sake': [3568], 'simplicity': [3570], 'non-uniform': [3583, 3639, 3677], 'delays,': [3585], 'difficulty': [3590], 'contrast': [3592], 'studying': [3594], 'network.': [3601], 'First,': [3602], 'cannot': [3604], 'techniques': [3625], 'dealing': [3626], 'these': [3628], 'different': [3629, 3648], 'obviously': [3634, 4171], 'situation': [3644], 'speeds,': [3650], 'channels': [3656], 'interest': [3666], 'near': [3682, 4397], 'future.': [3683, 4398], 'Numerical': [3685], 'simulation': [3686], 'explain': [3696], 'effectiveness': [3698], 'Example': [3705, 3870, 3943, 4476, 4489], '1.Consider': [3706], 'consisting': [3711, 3875, 4318, 4336], 'four': [3713], 'Selecting': [3722, 3899], 'Assuming': [3726], 'switches': [3730, 3920], 'random': [3733, 3751, 3923], 'shown': [3739, 3762, 3929, 4192], 'duration': [3745], 'minimum': [3754], '0.25s.': [3757], 'Topologies': [3772, 3951], 'Take': [3777, 3956], '(t)=0.1sin(15t),': [3779], '0.1,': [3787], '1.5': [3790], 'diag{3,': [3798], '0},': [3801, 3984], 'implying': [3803, 3986], '1,3': [3807], 'select': [3820, 4003], '0.2,': [3823], '0.5,': [3830, 4011], 'Matlab': [3834, 4018], 'tool': [3836, 4020], 'three': [3841, 4122], 'definite': [3843, 4026], 'Φ,': [3845, 4472], 'Θ,': [3846, 4473], 'listed': [3850, 4033], 'Appendix.': [3852, 4035], 'shows': [3855, 4038], 'errors': [3858, 4041], 'states': [3862, 4045, 4076, 4093], 'conditions.': [3869, 4052], '2.Consider': [3871], 'six': [3877], 'modelled': [3882], 'modified': [3885], "Chua's": [3886], 'chaotic': [3887], 'oscillator': [3888], '[11],': [3889], 'diag{1,': [3902, 4006], '3},': [3904, 4008], 'diag{0.5093,': [3911], '0.3846,': [3912], '1.1344}.': [3913], 'same': [3939], '0.01': [3960], 'sin(10t),': [3961], '0.01,': [3968], '0.1': [3971], 'diag{0,': [3979], '40,': [3980, 3983, 4703], '2,5': [3990], '100,': [4014], 'Ω,': [4028, 4485], 'Γ,': [4029, 4486], '1Open': [4054], 'figure': [4056, 4063, 4070, 4080, 4087], 'viewerPowerPoint': [4057, 4064, 4071, 4081, 4088], '2Open': [4061], 'Switching': [4065], '3Open': [4068], 'Errors': [4072, 4089], '4Open': [4078], '5Open': [4085], 'Conclusion': [4095], 'aspects.': [4123], 'Firstly,': [4124], 'Secondly,': [4177], 'method,': [4189], 'even': [4200], 'small': [4204], 'take': [4227], 'value.': [4229], 'Thirdly,': [4230], 'do': [4232], '(t))': [4241], 'Lipschitz-condition.': [4245], 'x),': [4256], 'relevant': [4269, 4469, 4482], 'pr': [4272], 'ξr,': [4274], 'n.': [4279], 'note': [4284], 'That': [4305], 'guaranteed': [4307], 'although': [4314], 'difficult': [4350], 'ensure': [4358], 'hope': [4375], 'elaborate': [4377], 'criterion': [4381], 'joint': [4392], '6': [4399], 'Acknowledgments': [4400], 'work': [4402], 'supported': [4404], 'National': [4407], 'Natural': [4408, 4417, 4454], 'Science': [4409, 4418, 4455], 'Foundation': [4410, 4419, 4456], 'Grant': [4414, 4426, 4440, 4449, 4464], '61272530,': [4415], 'Jiangsu': [4421, 4459], 'Province': [4422], 'BK2012741,': [4427], 'Specialised': [4429], 'Fund': [4431], 'Doctoral': [4434], 'Program': [4435, 4447], 'Higher': [4437, 4460], 'Education': [4438, 4461], '20130092110017,': [4443], 'JSPS': [4445], 'Innovation': [4446], 'CXZZ13': [4450], '00,': [4451], 'Institutions': [4462], '14KJB110019.': [4465], '8': [4466], 'Appendix': [4467], '7': [4494], 'References': [4495], '1Reynolds': [4496], 'C.:': [4497, 5626], "'Flocks,": [4498], 'herds,': [4499], 'schools:': [4501], 'distributed': [4503], 'behavior': [4504], "model',": [4505], 'Comput.': [4506], 'Graph,': [4507], '1987,': [4508], '21,': [4509], 'pp.': [4511, 4544, 4569, 4613, 4643, 4670, 4705, 4752, 4774, 4802, 4838, 4866, 4897, 4921, 4943, 4974, 5006, 5034, 5063, 5090, 5123, 5153, 5176, 5206, 5235, 5267, 5289, 5315, 5351, 5386, 5413, 5444, 5478, 5506, 5536, 5560, 5601, 5681], '25–': [4512], '34': [4513], '(doi:': [4514, 4547, 4572, 4595, 4616, 4646, 4673, 4708, 4755, 4777, 4805, 4841, 4869, 4900, 4924, 4946, 4977, 5009, 5037, 5066, 5093, 5126, 5156, 5179, 5209, 5238, 5270, 5292, 5318, 5354, 5389, 5416, 5447, 5481, 5509, 5539, 5563, 5604, 5684], 'https://doi.org/10.1145/37402.37406)': [4515], '2Vicsek': [4516], 'T.': [4517], 'Cziok': [4518], 'A.': [4519, 4619], 'Jacob': [4520], 'E.': [4521], 'Cohen': [4522], 'I.,': [4523], 'Shochet': [4525], 'O.:': [4526], "'Novel": [4527], 'type': [4528], 'phase': [4530], 'transition': [4531], 'self-driven': [4536], "particles',": [4537], 'Phys.': [4538, 4587, 4860], 'Rev,': [4539], 'Lett.,': [4540, 5030, 5263, 5311], '1995,': [4541], '75,': [4542], '1226–': [4545], '1229': [4546], 'https://doi.org/10.1103/PhysRevLett.75.1226)': [4548], '3Fax': [4549], 'J.,': [4550, 4621, 5014, 5363, 5392, 5570, 5660], 'R.:': [4553, 4652, 4783, 5610], "'Information": [4554], 'flow': [4555], 'cooperative': [4557, 5616], "formations',": [4561], 'IEEE': [4562, 4606, 4636, 4663, 4695, 4726, 4745, 4795, 4828, 4890, 4997, 5056, 5083, 5143, 5228, 5341, 5376, 5437, 5468, 5499], 'Trans.': [4563, 4607, 4637, 4664, 4696, 4727, 4746, 4796, 4829, 4891, 4998, 5057, 5144, 5229, 5342, 5377, 5438, 5469, 5500], 'Autom.': [4564, 4608, 4638, 4665, 4728, 4747, 4797, 4892, 5230, 5439, 5501], 'Control,': [4565, 4609, 4639, 4666, 4729, 4748, 4798, 4893, 4917, 5231, 5440, 5502], '2004,': [4566, 4799, 5678], '49,': [4567, 4772, 4800, 5287], '1465–': [4570], '1476': [4571], 'https://doi.org/10.1109/TAC.2004.834433)': [4573], '4Trpevski': [4574], 'Tang': [4576, 5451], 'W.,': [4577, 4649, 4953, 4982, 5295, 5452, 5607], 'Kocarev': [4579], 'L.:': [4580, 4736, 5162, 5328, 5487], "'Model": [4581], 'rumor': [4583], 'spreading': [4584], 'over': [4585], "networks',": [4586, 5142], 'Rev.': [4588], 'E,': [4589], '2010,': [4590, 4702, 5031, 5087, 5150, 5312, 5348], '81,': [4591], '056102': [4594], 'https://doi.org/10.1103/PhysRevE.81.056102)': [4596], '5Cucker': [4597], 'F.,': [4598, 5159], 'Smale': [4600], 'S.:': [4601], "'Emergent": [4602], "flocks',": [4605], '2007,': [4610, 4894], '52,': [4611, 4895], '852–': [4614], '862': [4615], 'https://doi.org/10.1109/TAC.2007.895842)': [4617], '6Jadbabie': [4618], 'Lin': [4620], 'Morse': [4623, 5183], 'A.:': [4624, 4758, 5273], "'Coordination": [4625], 'groups': [4627], 'nearest': [4633], 'neighbor': [4634], "rules',": [4635], '2003,': [4640], '48,': [4641], '988–': [4644], '1001': [4645], 'https://doi.org/10.1109/TAC.2003.812781)': [4647], '7Ren': [4648], 'Beard': [4651, 5609], "'Consensus": [4653, 4717, 4759, 4784, 4816, 4850, 4909, 5046, 5163, 5218, 5329, 5488, 5516], 'seeking': [4654], 'multi-agents': [4656], "topologies',": [4662, 4827, 5308, 5406, 5555], '2005,': [4667, 4749], '50,': [4668, 4750], '655–': [4671], '661': [4672], 'https://doi.org/10.1109/TAC.2005.846556)': [4674], '8Yu': [4675], 'W.': [4676, 4711, 4949, 5040, 5098, 5357, 5361], 'Chen': [4677, 4712, 4811, 4845, 4984, 5324, 5358], 'G.': [4678, 4808, 5096, 5359], 'M.,': [4680], 'Kurths': [4682, 5362], 'J.:': [4683, 4879, 4956, 5074, 5103, 5132, 5422, 5663], "'Second-order": [4684, 5018], 'multiagent': [4687, 4739, 5049, 5331, 5373], 'nonlinear': [4693, 4724, 4765, 4858, 5022, 5459], "dynamics',": [4694, 4725], 'Syst.': [4697, 4831, 5028, 5146, 5261, 5309, 5344, 5379, 5471, 5530], 'Man': [4698], 'Cybern.': [4699], 'Part': [4700], 'B,': [4701], '881–': [4706], '891': [4707], 'https://doi.org/10.1109/TSMCB.2009.2031624)': [4709], '9Yu': [4710], 'G.,': [4713, 4812, 5325], 'M.:': [4716], '2011,': [4730, 4940, 5060, 5232, 5383, 5475, 5533, 5557], '56,': [4731, 5233], '169–': [4733, 4753], '182': [4734, 4754], '10Moreau': [4735], "'Stability": [4737, 5423], 'time-dependent': [4742], "links',": [4744], '(2),': [4751, 4773, 4837, 4920, 5205, 5266], 'https://doi.org/10.1109/TAC.2004.841888)': [4756], '11Proskurnikov': [4757], 'sectorial': [4764], 'couplings:': [4766], "approach',": [4769, 5198], 'Automatica,': [4770, 4939, 5172, 5285, 5556], '2013,': [4771, 5003, 5120, 5286, 5598], '488–': [4775], '495': [4776], 'https://doi.org/10.1016/j.automatica.2012.11.021)': [4778], '12Olfati-Saber': [4779], 'R.,': [4780, 5623], "time-delays',": [4794], '1520–': [4803], '1533': [4804], 'https://doi.org/10.1109/TAC.2004.834113)': [4806], '13Wen': [4807], 'Duan': [4809, 5322], 'Z.': [4810, 5321, 5323], 'Yu': [4814, 4952, 5016, 5097], 'W.:': [4815, 4849, 5017, 5366, 5455], 'tracking': [4817], 'Lipschitz-type': [4822], 'Circuits': [4830, 5084, 5145, 5343, 5378, 5470], 'I:': [4832, 5345, 5380, 5472], 'Regul.': [4833, 5148, 5346, 5381, 5473], 'Pap.,': [4834, 5149, 5347, 5382, 5474], '2014,': [4835, 4971], '61,': [4836], '499–': [4839], '511': [4840], 'https://doi.org/10.1109/TCSI.2013.2268091)': [4842], '14Liu': [4843], 'X.': [4844, 5069], 'T.,': [4846], 'Lu': [4848, 4955, 4981, 5073], 'multiagents': [4856, 4991], "protocols',": [4859], 'Lett,': [4861], 'A,': [4862], '2009,': [4863, 5503], '373,': [4864], '(35),': [4865], '3122–': [4867], '3127': [4868], 'https://doi.org/10.1016/j.physleta.2009.06.054)': [4870], '15Hong': [4871], 'Y.': [4872, 5241, 5568], 'Gao': [4873], 'L.': [4874, 5639], 'Cheng': [4875, 4904, 5297], 'D.,': [4876, 4905, 5042], "'Lyapunov-based": [4880], "interconnection',": [4889], '943–': [4898], '948': [4899], 'https://doi.org/10.1109/TAC.2007.895860)': [4901], '16Wang': [4902], 'J.': [4903, 4916, 4951, 5200, 5408, 5529, 5566, 5658], 'X.:': [4908], "systems',": [4914, 5375, 5592], 'Asian': [4915], '2008,': [4918, 5173, 5203, 5264], '10,': [4919, 5088], '144–': [4922], '155': [4923], 'https://doi.org/10.1002/asjc.15)': [4925], '17Chen': [4926], 'Z.,': [4927], 'Zhang': [4929], 'H.:': [4930, 5395], "'No-beacon": [4931], 'collective': [4932], 'circular': [4933], "multi-agents',": [4938], '47,': [4941, 5204, 5558], '1929–': [4944], '1937': [4945], 'https://doi.org/10.1016/j.automatica.2011.03.012)': [4947], '18Xu': [4948], "'Leader-following": [4957, 5299, 5396], "topology',": [4966, 5227, 5284, 5528], 'Appl.,': [4970, 5119], '432–': [4975], '440': [4976], 'https://doi.org/10.1049/iet-cta.2013.0813)': [4978], '19Liu': [4979], 'B.': [4980], 'T.:': [4985], "'Pinning": [4986, 5104], 'impulsive': [4995], "controller',": [4996], 'Neural': [4999, 5058], 'Netw.': [5000], 'Learn.': [5001], 'Syst.,': [5002], '24,': [5004], '(7),': [5005, 5505], '1141–': [5007], '1149': [5008], 'https://doi.org/10.1109/TNNLS.2013.2247059)': [5010], '20Song': [5011], 'Q.': [5012, 5450], "control',": [5027], '59,': [5032, 5313], '553–': [5035], '562': [5036], 'https://doi.org/10.1016/j.sysconle.2010.06.016)': [5038], '21Xiong': [5039], 'Ho': [5041], 'Z.:': [5045], 'analysis': [5047], 'aggregated': [5052], "approaches',": [5055], 'Netw.,': [5059], '22,': [5061, 5534], '(8),': [5062, 5385], '1231–': [5064], '1240': [5065], 'https://doi.org/10.1109/TNN.2011.2157938)': [5067], '22Wang': [5068], 'Li': [5070], 'X.,': [5071], "'Control": [5075], 'networked': [5079], "pinning',": [5082], 'Syst,': [5085], 'Mag.,': [5086], '83–': [5091], '91': [5092], 'https://doi.org/10.1109/MCAS.2010.937887)': [5094], '23Wen': [5095], 'Zhao': [5099], 'Y.,': [5100, 5419, 5484], 'synchronization': [5105, 5135, 5334, 5575], 'fixed': [5107, 5305, 5403], 'Lorenz-type': [5113], "nodes',": [5114], '7,': [5121], '(10),': [5122, 5175, 5477], '1387–': [5124], '1397': [5125], 'https://doi.org/10.1049/iet-cta.2013.0090)': [5127], '24Song': [5128], 'Q.,': [5129], "'On": [5133], 'dynamical': [5141, 5374, 5578], '57,': [5151, 5265, 5349, 5442], '672–': [5154, 5537], '680': [5155], 'https://doi.org/10.1109/TCSI.2009.2024971)': [5157], '25Xiao': [5158], 'protocols': [5164, 5371], 'discrete-time': [5166], "delays',": [5171, 5260, 5498, 5675], '44,': [5174], '2577–': [5177], '2582': [5178], 'https://doi.org/10.1016/j.automatica.2008.02.017)': [5180], '26Cao': [5181], 'M.': [5182], 'A.,': [5184, 5214], 'Anderson': [5186], 'B.:': 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