Publication Information

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[223], 'article': [232], 'with': [233, 251, 478, 672, 849, 1070, 1116, 1285, 1809, 1838, 2006, 2057, 2324, 2474, 2633, 2692, 2722, 2846, 2885, 2953, 2987, 3015, 3251, 3279], 'your': [234], 'friends': [235], 'colleagues.': [237], 'Learn': [238], 'more.Copy': [239], 'URL': [240], 'Share': [241], 'linkShare': [243], 'onEmailFacebookTwitterLinked': [244], 'InRedditWechat': [245], 'Abstract': [246], 'This': [247, 2544], 'study': [248, 414, 914], 'is': [249, 285, 296, 325, 331, 605, 751, 830, 863, 883, 932, 1011, 1104, 1133, 1137, 1152, 1185, 1215, 1223, 1361, 1385, 1471, 1683, 1735, 1789, 1852, 1874, 1888, 1890, 1911, 1955, 2014, 2022, 2038, 2070, 2127, 2143, 2159, 2174, 2190, 2219, 2338, 2389, 2405, 2421, 2436, 2452], 'concerned': [250], 'adaptive': [253, 588, 683, 872, 892, 960, 1189, 1424, 1442, 1453, 1498, 1707, 1767, 1976, 2081, 2349, 2463, 2519, 2876, 3006], 'stabilisation': [254, 446, 469, 571, 642, 684, 767, 793, 2464, 2490], 'problem': [255, 447, 470, 519, 572, 643, 680, 706, 768, 794, 798, 882, 940, 2465, 2491], 'in': [265, 347, 439, 454, 484, 546, 557, 592, 646, 653, 670, 687, 719, 753, 810, 871, 1174, 1200, 1420, 1431, 1717, 1772, 1780, 2011, 2110, 2115, 2134, 2150, 2166, 2181, 2328, 2372, 2377, 2396, 2412, 2428, 2443, 2776, 2947, 3051, 3178], 'strict-feedback': [266, 2948], 'form.': [267], 'The': [268, 445, 529, 797, 838, 927, 1399, 1452, 1681, 2060, 2080, 2479, 2561], 'investigative': [269], 'system': [270, 324, 757, 1162, 1194, 1214, 1354, 1402, 1557, 1667, 1728, 1787, 2000, 2055, 2086, 2204, 2218], 'satisfies': [271], 'general': [274, 857], 'growth': [275, 858, 1092, 1141], 'condition': [276, 859, 1142, 2100, 2126, 2142, 2158, 2173, 2189, 2362, 2388, 2404, 2420, 2435, 2451], 'precise': [279], 'knowledge': [280], 'time': [283, 2058, 3252], 'delay': [284, 1067, 2069], 'not': [286, 764, 1156], 'required': [287], 'be': [289, 771, 841, 877, 1124, 1396, 1427, 1438, 1445, 1530, 1540, 1565, 1702, 1751, 1979, 1987, 2213, 2227, 2252, 2278, 2485, 2515, 2524], 'known': [290, 607, 1073, 1113, 1206, 1610, 1647, 1655], 'priori.': [292], 'Firstly,': [293], 'an': [294, 691, 775, 1015, 1080, 1105, 1975], 'observer': [295, 732, 824, 1345, 2258], 'designed': [297, 462, 897, 2089], 'dynamic': [300, 637, 662, 905, 1376, 1486, 2480, 2940, 3280], 'gain': [301, 638, 663, 906, 1366, 1487, 2481, 3282], 'design': [303, 340, 532, 539, 579, 728, 962, 1187, 1261, 1336, 1479, 1691, 1860, 1984, 2533, 3174], 'technique.': [304], 'Then,': [305, 1669], 'based': [306, 825, 2875], 'on': [307, 582, 635, 1253, 1665, 1919, 1934, 2271, 2287, 2506, 2726], 'novel': [309], 'Lyapunov–Krasovskii': [310, 693, 1953, 1973, 2509], 'functional,': [311, 1974, 2510], 'constraints': [314, 480, 505, 1248, 2476], 'are': [315, 716, 763, 896, 945, 956, 1075, 1112, 1155, 1205, 1243, 1249, 1257, 1292, 1327, 1356, 1369, 1380, 1391, 1460, 1711, 1865, 1925, 1932, 2019, 2028, 2034, 2043, 2049, 2075, 2088, 2108, 2267, 2299, 2321, 2352, 2370], 'satisfied': [316], 'stability': [319, 965, 1433, 2750], 'closed-loop': [322, 1212, 1556, 1726, 1930, 2203, 2217], 'achieved.': [326], 'Finally,': [327, 2527], 'numerical': [329, 2540], 'example': [330, 972, 1992], 'given': [332, 1357, 1755, 1853, 2076], 'demonstrate': [334], 'effectiveness': [336, 2340], 'proposed': [339, 591, 831, 1706, 2532], 'procedure.': [341], 'Introduction': [343], 'Constrained': [344], 'arise': [346, 2308], 'many': [348, 408, 619, 720], 'applications': [349], 'such': [350, 388, 534, 1196, 1268, 1299, 1575, 1617, 1651, 1776, 1867], 'as': [351, 389, 535, 934, 1126, 1329, 1532, 1542, 1567, 2062, 2072, 2129, 2145, 2161, 2176, 2192, 2391, 2407, 2423, 2438, 2454], 'electrostatic': [353, 2631], 'microactuators,': [354], 'permanent': [356], 'magnet': [357], 'synchronous': [358], 'motor,': [359], 'see': [360, 527, 632, 723, 2293], '[1,': [361], '2]': [362], 'relevant': [365], 'research': [366, 547], 'has': [367, 481, 509, 523, 657, 698, 769, 2535], 'been': [368, 378, 411, 437, 482, 543, 658, 1548, 2536], 'making': [369], 'continuous': [370, 1087, 1114, 1283, 1612, 1649], 'progress.': [371], 'A': [372], 'lot': [373], 'key': [375], 'techniques': [376], 'used': [379, 718, 1012, 1244, 1446], 'solve': [381, 442, 2488], 'problems': [383, 625], 'constrained': [385, 415, 443, 915, 2666], 'linear': [386, 394, 2690], 'admissible': [390, 2662], 'set': [391, 1083, 1202, 1719, 1782, 2071, 2236, 2244, 2663], '[3],': [393], 'model': [395, 420, 750, 2598, 2753], 'predictive': [396, 421, 2599, 2687, 2754, 3209], '[4],': [398], 'reference': [400, 427, 2786], 'governor': [401, 428], 'approach': [402, 429, 665, 908, 1489, 1904, 2337, 2483], '[5].': [403], 'On': [404], 'other': [406], 'hand,': [407], 'methods': [409], 'utilised': [412, 438, 545, 2486], 'systems,': [417, 598, 2495], 'e.g.': [418], '[6],': [423], '[7].': [430], 'Besides': [431], 'these,': [432], 'Barrier': [433, 1240, 2808, 2872], 'Lyapunov': [434, 911, 1237, 1241, 1266, 1796, 1895, 2809, 2873], 'functions': [435, 912, 1088, 1115, 1157, 1242, 1267, 1295, 1394, 1613, 1650, 1658, 1697, 1747, 1798, 1863, 2051, 2810], '[8–10]': [440], 'problems.': [444], 'was': [452, 461, 590, 651, 685, 741, 795, 808, 2477, 2546], 'researched': [453], '[8]': [455], 'state': [458, 1363, 1400, 2199, 2780, 2887], 'controller': [460, 589, 961, 1263, 1335, 1347, 1483, 1977, 2522], 'backstepping': [465, 541, 584, 3244], 'method.': [466, 580], 'Furthermore,': [467, 1159, 1935, 2224], 'high-order': [475, 2843], 'investigated': [483, 568, 622], '[9]': [485], 'modified': [488], 'adding': [489], 'power': [491, 3212], 'integrator': [492], 'approach.': [493], 'However,': [494, 695], 'best': [497], 'knowledge,': [500], 'explicit': [502], 'consideration': [503], 'within': [506, 885, 2234, 2242], 'received': [510], 'little': [511], 'attention.': [512], 'In': [513, 725, 759, 779, 813, 936, 947, 982, 1179, 1686, 1993, 2459], 'past': [515], 'decades,': [516], 'attracted': [524], 'considerable': [525], 'attention,': [526], '[11–13].': [528], 'constructive': [530], 'approaches': [533], 'forwarding': [536, 575], 'saturation': [538, 578], 'generally': [544], 'systems.': [549, 677, 712, 837], 'For': [550, 1001, 1753], 'upper': [558, 1594], 'triangular': [559, 3053, 3313], 'form,': [560], 'work': [562, 697, 2545], 'Ye': [564], 'et': [565, 3040, 3103, 3138, 3169, 3205], 'al.': [566], '[11]': [567], 'asymptotic': [570, 2954], 'Based': [581, 634, 1918, 2505], 'method,': [585], 'decentralised': [587], '[12]': [593], 'interconnected': [596, 2007, 2945], 'which': [599, 1897, 1913, 1943, 1962, 2013, 2575], 'possess': [600], 'lower-triangular': [602], 'structure.': [603], 'It': [604, 1700], 'well': [606], 'that': [608, 660, 1153, 1197, 1269, 1300, 1440, 1576, 1618, 1652, 1704, 1777, 1868, 1945, 2215, 2229, 2254, 2280, 2334], 'constitute': [611], 'basic': [612], 'mathematical': [613], 'models': [614], 'real': [616, 1003], 'phenomena': [617], 'researchers': [620], 'without': [630], 'constraints,': [631], '[14–16].': [633], 'approach,': [640], 'strict': [648], 'form': [650, 1467, 2949], 'solved': [652, 686, 809], '[15]': [654], 'it': [656, 1436, 2211, 2225, 2250, 2276], 'shown': [659, 1439, 2109, 2371], 'plays': [666], 'crucial': [668], 'role': [669], 'coping': [671], 'non-linearities': [673, 853, 2513], 'considered': [676, 870, 884], 'Recently,': [678], 'global': [682], '[16]': [688], 'introducing': [690], 'appropriate': [692, 1019], 'functional.': [694], 'no': [696], 'exploited': [699], 'way': [701], 'solving': [703], 'Observer': [713], 'filter': [715, 749, 3173], 'routinely': [717], 'problems,': [722], '[17–20].': [724], '[17],': [726], 'polymer': [734], 'electrolyte': [735], 'membrane': [736], 'fuel': [737, 3112], 'cell': [738, 3113], 'air-feed': [739, 3114], 'presented': [742, 1531], 'masterly.': [743], 'An': [744], 'distributed': [745], 'interval': [746], 'type-2': [747, 3180], 'fuzzy': [748, 3181], 'constructed': [752, 1980], '[19]': [754], 'estimate': [756], 'states.': [758], 'practise,': [760], 'when': [761, 1160, 1760, 1901, 2294], 'full-states': [762], 'available,': [765], 'addressed': [772], 'using': [774, 1636, 1674, 2950], 'controller.': [778], 'literature': [781, 1176], '[15,': [782, 820, 1341, 2329], '18],': [783, 821, 1342], 'designing': [785], 'different': [786], 'types': [787], 'observers,': [789], 'investigated.': [796, 2478], 'event-triggered': [800], 'sliding': [801, 3142], 'mode': [802, 3143], 'uncertain': [805, 852, 1086, 2665, 3010], 'stochastic': [806, 3146], '[18]': [811], 'successfully.': [812], 'paper,': [815, 984, 1181, 1589, 2461], 'following': [816, 845, 1091, 1099, 1322, 1407, 1545, 1599, 1819], 'idea': [818, 1339], 'reduced-order': [823, 1344], 'scheme': [829], 'contributions': [839], 'can': [840, 876, 913, 920, 1123, 1233, 1260, 1426, 1437, 1444, 1476, 1510, 1515, 1529, 1539, 1564, 1591, 1629, 1671, 1678, 1690, 1701, 1750, 1805, 1812, 1834, 1841, 1886, 1963, 1978, 1986, 2212, 2226, 2251, 2277, 2292, 2332, 2484, 2498, 2514, 2523], 'characterised': [842], 'features:': [846], '(i)': [847], 'compared': [848], '[15],': [850, 1147, 2012, 2063], 'satisfy': [854, 1089], 'very': [856, 1139], 'parameter': [861, 1418, 1494, 1693, 1861, 1960, 2346], 'uncertainty': [862, 1419, 1495, 2695], 'considered,': [864], 'thus': [865, 1684], 'some': [866, 943, 1905], 'schemes': [874], '[21]': [875], 'included;': [878], '(ii)': [879], 'controllers': [895, 1192, 1454, 1470, 1710, 1770, 2084, 2306, 2319, 2350], 'successfully;': [898], '(iii)': [900], 'combination': [902], 'barrier': [910, 1236, 1265, 1894], 'effectively': [917], 'one': [919, 985, 1232, 1259, 1475, 1509, 1590, 1628, 1670, 1677, 1689, 1804, 1811, 1833, 1840, 1870, 1885, 2291, 2331, 2497], 'avoid': [921, 2499], 'complexity': [923, 2501], 'recursive': [925, 2503], 'design.': [926, 2504], 'remaining': [928], 'paper': [931, 955], 'organised': [933], 'follows.': [935], 'Section': [937, 948, 967, 974], '2,': [938, 1373, 1570, 2249], 'formulation': [941], 'preliminaries': [944], 'reviewed.': [946], '3,': [949], 'main': [951, 1585], 'results': [952, 1332, 2107, 2327, 2369], 'given,': [957], 'including': [958], 'analysis.': [966], '4': [968, 1990], 'gives': [969, 976], 'simulation': [971, 2106, 2326, 2368], '5': [975, 2457], 'conclusion': [978], 'paper.': [981, 2583], 'let': [986, 2064], 'denote': [987, 1023], 'Euclidean': [989, 996], 'norm': [990, 997], 'vectors,': [992], 'or': [993], 'induced': [995], 'matrix.': [1000], 'any': [1002, 1281, 1754], 'matrices': [1004, 1315, 1367, 1518, 1829], 'A,': [1005], 'denotes': [1006, 1063], 'its': [1007, 1902], 'transpose,': [1008], 'I': [1010], 'represent': [1014, 1045, 1823], 'identity': [1016], 'matrix': [1017], 'dimension.': [1020], 'One': [1021], 'may': [1022], 'respectively.': [1027, 1239, 1277], '2': [1028, 1303], 'Preliminaries': [1029], 'Consider': [1030], 'composed': [1038, 1224, 1891], 'N': [1040, 1226], 'subsystems': [1041], '(1)where': [1042], ',': [1043, 1057, 1058, 1069, 1084, 1097, 1111, 1154, 1161, 1203, 1296, 1297, 1305, 1317, 1325, 1360, 1390, 1502, 1536, 1616, 1659, 1660, 1662, 1698, 1720, 1722, 1748, 1758, 1759, 1761, 1763, 1783, 1785, 1831, 1884, 1909, 1961, 2078, 2091, 2092, 2102, 2104, 2130, 2146, 2162, 2193, 2245, 2303, 2364, 2366, 2392, 2408, 2424, 2455], 'state,': [1047], 'input': [1048], 'i': [1053, 1350], 'th': [1054, 1351], 'subsystem,': [1055, 1422], 'respectively,': [1056, 1832, 2304], 'non-negative': [1060, 1107, 1311, 1611, 1648, 1656, 1695, 2094], 'bounded': [1061, 1933, 2268], 'function': [1062, 1238, 1284, 1985, 2096, 2874], 'unknown': [1065, 1076, 1081, 1106, 1959, 2068], 'time-varying': [1066, 3016], 'satisfying': [1068, 1164, 1320], 'being': [1071, 1288], 'constant,': [1074, 1108], 'parameters': [1077, 1480], 'belonging': [1078], 'compact': [1082], 'condition.': [1093, 2344], 'Assumption': [1094, 1135, 1144, 1165, 1603, 1623, 1637, 1742], '1.For': [1095], 'all': [1096, 1928], 'inequalities': [1100, 1820], 'hold:': [1101], '(2)': [1102], '(3)where': [1103], 'respect': [1117], 'their': [1119, 2564, 2571], 'arguments.': [1120], 'Remark': [1121, 1220, 1411, 1951], '1.Normally,': [1122], 'viewed': [1125], 'maximum': [1128], 'value': [1129], '.': [1131, 2097, 2272, 2560], 'When': [1132, 1251, 2345], 'known,': [1134], 'similar': [1140], 'only': [1150, 1663], 'difference': [1151], '(1)': [1163, 1195, 1222, 1355, 1506, 1788], 'covers': [1167], 'wide': [1169], 'variety': [1170], '[22,': [1177], '23].': [1178], 'objective': [1184], 'remains': [1199, 1275], 'where': [1204], 'positive': [1207, 1313, 1387, 1392, 1692, 1756, 1876], 'constants,': [1208, 1906, 2037], 'resulting': [1211], 'stable': [1216, 1736, 1790, 2220], 'at': [1217, 1737, 1791, 2221], 'origin.': [1219, 1739, 1793, 1949, 2223], '2.System': [1221], 'subsystems,': [1227], 'each': [1230, 1273], 'subsystem': [1231, 1274, 1352], 'choose': [1234], 'ensure': [1246], 'satisfied.': [1250], 'conditions': [1252, 2297], 'initial': [1255, 2099, 2125, 2141, 2157, 2172, 2188, 2296, 2361, 2387, 2403, 2419, 2434, 2450], 'mild,': [1258], 'bounded,': [1276, 1912, 1926], 'Lemma': [1278, 1302, 1372, 1569, 1606, 1639], '[24].For': [1280], 'real-valued': [1282], 'x,': [1286], 'y': [1287], 'arbitrary': [1289], 'dimension,': [1290], 'there': [1291, 1306, 1571, 1608, 1644, 1764], 'smooth': [1293, 1393, 1657, 1696, 1746, 2095, 3340], 'scalar': [1294], '(4)': [1301, 1577], '[22].For': [1304], 'exist': [1307, 1609, 1645], 'real-positive': [1308], 'number': [1309, 1312], 'definite': [1314], 'inequalities:': [1323], '(5)where': [1324], 'defined': [1328], '3': [1330, 2260], 'Main': [1331], '3.1': [1333], 'Following': [1337], '(6)where': [1359], 'vector,': [1364], 'selected': [1370], 'gains': [1377], 'r': [1379], 'updated': [1381], '(7)where': [1384], 'constant': [1388, 1744, 2284], 'determined': [1397], 'later.': [1398], '(7)': [1403, 1459, 1734, 1775], 'properties,': [1408], '(8)': [1410, 1641, 1816], '3.In': [1412], 'order': [1413], 'compensate': [1415, 1491], 'every': [1421], 'laws': [1425, 1443], 'introduced': [1428], 'there,': [1429], 'analysis': [1434, 1581], 'below,': [1435], 'successfully': [1448, 1981, 2525], 'implement': [1449], 'constraints.': [1451], 'described': [1455, 1771, 2015], '(6)': [1457, 1732, 1773], 'memoryless': [1461], 'controllers,': [1464], 'relatively': [1472], 'simple.': [1473], 'Next,': [1474], 'determine': [1477], 'laws.': [1499], 'Now,': [1500, 1534, 1551, 1858], 'letting': [1503], '(9)by': [1504], 'viewing': [1505], '(9),': [1508, 1920], 'get': [1511, 1630, 1679, 1806, 1813, 1835, 1842, 1887, 2333], '(10)': [1512, 1561, 1802], '(11)where': [1513], '(12)One': [1514], 'define': [1516], '(13)and': [1519], 'variables': [1521], '(14)From': [1522], '(5),': [1523, 3024, 3122], '(6),': [1524, 2611], '(11)': [1525], '(13),': [1527], '(15)where': [1533], 'defining': [1537], '(16)(15)': [1538], 'expressed': [1541], '(17)where': [1543], 'equations': [1546], 'utilised:': [1549], '(18)': [1550], 'states': [1553, 1931], 'consisting': [1558, 1729, 2001, 2205], '(7),': [1560, 3260], '(17)': [1563], 'taken': [1566], 'By': [1568, 1635, 1878, 1971], 'exists': [1572, 1765], 'pair': [1574], 'holds.': [1578], '3.2': [1579], 'Stability': [1580], 'Before': [1582], 'giving': [1583], 'result': [1586], 'provide': [1592], 'bound': [1595], 'estimates': [1596], 'proposition.': [1600], 'Proposition': [1601], '1.Under': [1602, 1741], '1,': [1607, 1638, 1640, 1743], '(19)': [1619, 1631, 1808], '(20)': [1620, 1633], '(21)where': [1621], 'Proof.Using': [1622], "Young's": [1626, 1675], 'inequality,': [1627, 1676], 'directly.': [1634], '(12),': [1643, 2791, 2922], '(22)where': [1653], 'depend': [1664], 'non-linearities.': [1668], 'then': [1673], '(22).': [1680], 'proof': [1682], 'completed.□': [1685], 'section,': [1688, 1995], 'proved': [1703], 'able': [1712], 'guarantee': [1714], 'remain': [1716, 1779], 'furthermore,': [1724], '(1),': [1731], 'Theorem': [1740], 'chosen.': [1752], 'constants': [1757, 2264], 'Proof.Choosing': [1794], 'candidate': [1797], '(8),': [1801, 3349], '(23)Combining': [1807], 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