Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2102922646', 'doi': 'https://doi.org/10.1080/00207720802300370', 'title': 'A survey of linear matrix inequality techniques in stability analysis of delay systems', 'display_name': 'A survey of linear matrix inequality techniques in stability analysis of delay systems', 'publication_year': 2008, 'publication_date': '2008-11-06', 'ids': {'openalex': 'https://openalex.org/W2102922646', 'doi': 'https://doi.org/10.1080/00207720802300370', 'mag': '2102922646'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/00207720802300370', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S129640837', 'display_name': 'International Journal of Systems Science', 'issn_l': '0020-7721', 'issn': ['0020-7721', '1464-5319'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5100363679', 'display_name': 'Shengyuan Xu', 'orcid': 'https://orcid.org/0000-0002-3015-0662'}, 'institutions': [{'id': 'https://openalex.org/I36399199', 'display_name': 'Nanjing University of Science and Technology', 'ror': 'https://ror.org/00xp9wg62', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I36399199']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Shengyuan Xu', 'raw_affiliation_strings': ['School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China'], 'affiliations': [{'raw_affiliation_string': 'School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China', 'institution_ids': ['https://openalex.org/I36399199']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5038930344', 'display_name': 'James Lam', 'orcid': 'https://orcid.org/0000-0002-0294-0640'}, 'institutions': [{'id': 'https://openalex.org/I889458895', 'display_name': 'University of Hong Kong', 'ror': 'https://ror.org/02zhqgq86', 'country_code': 'HK', 'type': 'education', 'lineage': ['https://openalex.org/I889458895']}], 'countries': ['HK'], 'is_corresponding': False, 'raw_author_name': 'James Lam', 'raw_affiliation_strings': ['Department of Mechanical Engineering, University of Hong Kong, Hong Kong.'], 'affiliations': [{'raw_affiliation_string': 'Department of Mechanical Engineering, University of Hong Kong, Hong Kong.', 'institution_ids': ['https://openalex.org/I889458895']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 82.469, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 388, 'citation_normalized_percentile': {'value': 0.988979, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': '39', 'issue': '12', 'first_page': '1095', 'last_page': '1113'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10046', 'display_name': 'Networked Control Systems', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/2207', 'display_name': 'Control and Systems Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10046', 'display_name': 'Networked Control Systems', 'score': 0.9997, 'subfield': {'id': 'https://openalex.org/subfields/2207', 'display_name': 'Control and Systems Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10792', 'display_name': 'Matrix Algorithms and Iterative Methods', 'score': 0.9954, 'subfield': {'id': 'https://openalex.org/subfields/1703', 'display_name': 'Computational Theory and Mathematics'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11347', 'display_name': 'Network Synchronization in Complex Systems', 'score': 0.9939, 'subfield': {'id': 'https://openalex.org/subfields/1705', 'display_name': 'Computer Networks and Communications'}, 'field': {'id': 'https://openalex.org/fields/17', 'display_name': 'Computer Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/time-delay-systems', 'display_name': 'Time-Delay Systems', 'score': 0.563526}, {'id': 'https://openalex.org/keywords/stability-analysis', 'display_name': 'Stability Analysis', 'score': 0.55751}, {'id': 'https://openalex.org/keywords/time-delays', 'display_name': 'Time Delays', 'score': 0.557277}, {'id': 'https://openalex.org/keywords/linear-matrix-inequality', 'display_name': 'Linear matrix inequality', 'score': 0.53860146}, {'id': 'https://openalex.org/keywords/conservatism', 'display_name': 'Conservatism', 'score': 0.49999428}, {'id': 'https://openalex.org/keywords/matrix', 'display_name': 'Matrix (chemical analysis)', 'score': 0.48093313}], 'concepts': [{'id': 'https://openalex.org/C112972136', 'wikidata': 'https://www.wikidata.org/wiki/Q7595718', 'display_name': 'Stability (learning theory)', 'level': 2, 'score': 0.6920362}, {'id': 'https://openalex.org/C136197465', 'wikidata': 'https://www.wikidata.org/wiki/Q1729295', 'display_name': 'Variety (cybernetics)', 'level': 2, 'score': 0.6422287}, {'id': 'https://openalex.org/C192209626', 'wikidata': 'https://www.wikidata.org/wiki/Q190909', 'display_name': 'Focus (optics)', 'level': 2, 'score': 0.5862624}, {'id': 'https://openalex.org/C201829737', 'wikidata': 'https://www.wikidata.org/wiki/Q2022760', 'display_name': 'Linear matrix inequality', 'level': 2, 'score': 0.53860146}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5298248}, {'id': 'https://openalex.org/C96640997', 'wikidata': 'https://www.wikidata.org/wiki/Q5163004', 'display_name': 'Conservatism', 'level': 3, 'score': 0.49999428}, {'id': 'https://openalex.org/C106487976', 'wikidata': 'https://www.wikidata.org/wiki/Q685816', 'display_name': 'Matrix (chemical analysis)', 'level': 2, 'score': 0.48093313}, {'id': 'https://openalex.org/C45555294', 'wikidata': 'https://www.wikidata.org/wiki/Q28113351', 'display_name': 'Inequality', 'level': 2, 'score': 0.46712738}, {'id': 'https://openalex.org/C167964875', 'wikidata': 'https://www.wikidata.org/wiki/Q17011487', 'display_name': 'Exponential stability', 'level': 3, 'score': 0.45996553}, {'id': 'https://openalex.org/C47446073', 'wikidata': 'https://www.wikidata.org/wiki/Q5165890', 'display_name': 'Control theory (sociology)', 'level': 3, 'score': 0.4376127}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.37296653}, {'id': 'https://openalex.org/C126255220', 'wikidata': 'https://www.wikidata.org/wiki/Q141495', 'display_name': 'Mathematical optimization', 'level': 1, 'score': 0.29853928}, {'id': 'https://openalex.org/C158622935', 'wikidata': 'https://www.wikidata.org/wiki/Q660848', 'display_name': 'Nonlinear system', 'level': 2, 'score': 0.2557599}, {'id': 'https://openalex.org/C2775924081', 'wikidata': 'https://www.wikidata.org/wiki/Q55608371', 'display_name': 'Control (management)', 'level': 2, 'score': 0.15157595}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.120909184}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.088330716}, {'id': 'https://openalex.org/C199539241', 'wikidata': 'https://www.wikidata.org/wiki/Q7748', 'display_name': 'Law', 'level': 1, 'score': 0.060717434}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C192562407', 'wikidata': 'https://www.wikidata.org/wiki/Q228736', 'display_name': 'Materials science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C119857082', 'wikidata': 'https://www.wikidata.org/wiki/Q2539', 'display_name': 'Machine learning', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C154945302', 'wikidata': 'https://www.wikidata.org/wiki/Q11660', 'display_name': 'Artificial intelligence', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C94625758', 'wikidata': 'https://www.wikidata.org/wiki/Q7163', 'display_name': 'Politics', 'level': 2, 'score': 0.0}, {'id': 'https://openalex.org/C17744445', 'wikidata': 'https://www.wikidata.org/wiki/Q36442', 'display_name': 'Political science', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C120665830', 'wikidata': 'https://www.wikidata.org/wiki/Q14620', 'display_name': 'Optics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C159985019', 'wikidata': 'https://www.wikidata.org/wiki/Q181790', 'display_name': 'Composite material', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1080/00207720802300370', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S129640837', 'display_name': 'International Journal of Systems Science', 'issn_l': '0020-7721', 'issn': ['0020-7721', '1464-5319'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320547', 'host_organization_name': 'Taylor & Francis', 'host_organization_lineage': ['https://openalex.org/P4310320547'], 'host_organization_lineage_names': ['Taylor & Francis'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 175, 'referenced_works': ['https://openalex.org/W1486262553', 'https://openalex.org/W149595218', 'https://openalex.org/W1502089761', 'https://openalex.org/W1506119886', 'https://openalex.org/W1513597172', 'https://openalex.org/W1521936648', 'https://openalex.org/W152613495', 'https://openalex.org/W1529103151', 'https://openalex.org/W1533970237', 'https://openalex.org/W1547514605', 'https://openalex.org/W1563521622', 'https://openalex.org/W1578294860', 'https://openalex.org/W1589577058', 'https://openalex.org/W1607633954', 'https://openalex.org/W1610230199', 'https://openalex.org/W1667660134', 'https://openalex.org/W1880793639', 'https://openalex.org/W1896835186', 'https://openalex.org/W1967885943', 'https://openalex.org/W1968329821', 'https://openalex.org/W1969939457', 'https://openalex.org/W1970872201', 'https://openalex.org/W1973033731', 'https://openalex.org/W1975316257', 'https://openalex.org/W1979371021', 'https://openalex.org/W1980720537', 'https://openalex.org/W1980891681', 'https://openalex.org/W1981673401', 'https://openalex.org/W1984965199', 'https://openalex.org/W1985584401', 'https://openalex.org/W1988098342', 'https://openalex.org/W1988561144', 'https://openalex.org/W1988725073', 'https://openalex.org/W1992690254', 'https://openalex.org/W1994736959', 'https://openalex.org/W1995007479', 'https://openalex.org/W1995984855', 'https://openalex.org/W1998083963', 'https://openalex.org/W1998462963', 'https://openalex.org/W2001096883', 'https://openalex.org/W2002116864', 'https://openalex.org/W2002430999', 'https://openalex.org/W2005200847', 'https://openalex.org/W2008289098', 'https://openalex.org/W2009475066', 'https://openalex.org/W2010088749', 'https://openalex.org/W2010674938', 'https://openalex.org/W2012637300', 'https://openalex.org/W2013849029', 'https://openalex.org/W2014109621', 'https://openalex.org/W2015126358', 'https://openalex.org/W2016820659', 'https://openalex.org/W2016975911', 'https://openalex.org/W2017202681', 'https://openalex.org/W2019968983', 'https://openalex.org/W2020999290', 'https://openalex.org/W2022411691', 'https://openalex.org/W2023192238', 'https://openalex.org/W2023234737', 'https://openalex.org/W2028522899', 'https://openalex.org/W2030803456', 'https://openalex.org/W2031012011', 'https://openalex.org/W2031960685', 'https://openalex.org/W2032019686', 'https://openalex.org/W2034631507', 'https://openalex.org/W2036104234', 'https://openalex.org/W2037378252', 'https://openalex.org/W2038176510', 'https://openalex.org/W2040062427', 'https://openalex.org/W2042291513', 'https://openalex.org/W2043806392', 'https://openalex.org/W2044126376', 'https://openalex.org/W2046934246', 'https://openalex.org/W2047017331', 'https://openalex.org/W2048970568', 'https://openalex.org/W2051079365', 'https://openalex.org/W2051591980', 'https://openalex.org/W2053599456', 'https://openalex.org/W2054534795', 'https://openalex.org/W2054591135', 'https://openalex.org/W2055319245', 'https://openalex.org/W2059279280', 'https://openalex.org/W2061951967', 'https://openalex.org/W2062621825', 'https://openalex.org/W2062963477', 'https://openalex.org/W2063818274', 'https://openalex.org/W2065868776', 'https://openalex.org/W2066237872', 'https://openalex.org/W2067203096', 'https://openalex.org/W2069630920', 'https://openalex.org/W2070468550', 'https://openalex.org/W2070910290', 'https://openalex.org/W2071949730', 'https://openalex.org/W2072262947', 'https://openalex.org/W2072730822', 'https://openalex.org/W2073339598', 'https://openalex.org/W2075098736', 'https://openalex.org/W2076900056', 'https://openalex.org/W2078116908', 'https://openalex.org/W2079618027', 'https://openalex.org/W2079668284', 'https://openalex.org/W2079871064', 'https://openalex.org/W2080954565', 'https://openalex.org/W2082256594', 'https://openalex.org/W2083655699', 'https://openalex.org/W2085664759', 'https://openalex.org/W2086349066', 'https://openalex.org/W2086850342', 'https://openalex.org/W2087227410', 'https://openalex.org/W2087962488', 'https://openalex.org/W2088564945', 'https://openalex.org/W2091921244', 'https://openalex.org/W2092253661', 'https://openalex.org/W2094758340', 'https://openalex.org/W2094874808', 'https://openalex.org/W2095401836', 'https://openalex.org/W2096307847', 'https://openalex.org/W2100649435', 'https://openalex.org/W2101835931', 'https://openalex.org/W2103774239', 'https://openalex.org/W2103811317', 'https://openalex.org/W2104702455', 'https://openalex.org/W2109489828', 'https://openalex.org/W2115493691', 'https://openalex.org/W2116238517', 'https://openalex.org/W2118620232', 'https://openalex.org/W2119562278', 'https://openalex.org/W2119776924', 'https://openalex.org/W2120171152', 'https://openalex.org/W2126188172', 'https://openalex.org/W2126999594', 'https://openalex.org/W2130002084', 'https://openalex.org/W2131406112', 'https://openalex.org/W2132157425', 'https://openalex.org/W2132728422', 'https://openalex.org/W2138880285', 'https://openalex.org/W2138927377', 'https://openalex.org/W2140284830', 'https://openalex.org/W2140296247', 'https://openalex.org/W2140746930', 'https://openalex.org/W2141000611', 'https://openalex.org/W2143397199', 'https://openalex.org/W2143733504', 'https://openalex.org/W2144421640', 'https://openalex.org/W2144737232', 'https://openalex.org/W2145369171', 'https://openalex.org/W2147741380', 'https://openalex.org/W2149423454', 'https://openalex.org/W2150487392', 'https://openalex.org/W2151689203', 'https://openalex.org/W2153027817', 'https://openalex.org/W2155605759', 'https://openalex.org/W2167640856', 'https://openalex.org/W2168450096', 'https://openalex.org/W2169052930', 'https://openalex.org/W2170354024', 'https://openalex.org/W2174411374', 'https://openalex.org/W2487561128', 'https://openalex.org/W2524389969', 'https://openalex.org/W2528940545', 'https://openalex.org/W2529217187', 'https://openalex.org/W2530869145', 'https://openalex.org/W2534016764', 'https://openalex.org/W2535128652', 'https://openalex.org/W2546763824', 'https://openalex.org/W2546810944', 'https://openalex.org/W2546977426', 'https://openalex.org/W2598746244', 'https://openalex.org/W3210839039', 'https://openalex.org/W4211202937', 'https://openalex.org/W4240555111', 'https://openalex.org/W4242822252', 'https://openalex.org/W4246432872', 'https://openalex.org/W4250223147', 'https://openalex.org/W80255631'], 'related_works': ['https://openalex.org/W4385983104', 'https://openalex.org/W4246523182', 'https://openalex.org/W4233324169', 'https://openalex.org/W2808367679', 'https://openalex.org/W2381997239', 'https://openalex.org/W2376556533', 'https://openalex.org/W2347774719', 'https://openalex.org/W2060195842', 'https://openalex.org/W1975687574', 'https://openalex.org/W1592764918'], 'abstract_inverted_index': {'Recent': [0], 'years': [1], 'have': [2, 18], 'witnessed': [3], 'a': [4, 22], 'resurgence': [5], 'of': [6, 13, 24, 30, 39, 51, 57, 72, 92, 94, 101], 'research': [7], 'interests': [8], 'in': [9, 48, 82], 'analysing': [10], 'the': [11, 31, 37, 40, 49, 63, 69, 83, 90, 95], 'stability': [12, 46, 71, 104], 'time-delay': [14, 73], 'systems.': [15, 74], 'Many': [16], 'results': [17, 65, 79, 96, 105], 'been': [19, 34], 'reported': [20, 81], 'using': [21], 'variety': [23], 'approaches': [25], 'and': [26, 77, 97], 'techniques.': [27], 'However,': [28], 'much': [29], 'focus': [32], 'has': [33], 'laid': [35], 'on': [36], 'use': [38], 'Lyapunov–Krasovskii': [41], 'theory': [42], 'to': [43, 61, 67, 89], 'derive': [44], 'sufficient': [45], 'conditions': [47], 'form': [50], 'linear': [52], 'matrix': [53], 'inequalities.': [54], 'The': [55], 'purpose': [56], 'this': [58], 'article': [59], 'is': [60], 'survey': [62], 'recent': [64], 'developed': [66], 'analyse': [68], 'asymptotic': [70], 'Both': [75], 'delay-independent': [76], 'delay-dependent': [78, 103], 'are': [80, 87, 106], 'article.': [84], 'Special': [85], 'emphases': [86], 'given': [88], 'issues': [91], 'conservatism': [93], 'computational': [98], 'complexity.': [99], 'Connections': [100], 'certain': [102], 'also': [107], 'discussed.': [108]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2102922646', 'counts_by_year': [{'year': 2024, 'cited_by_count': 9}, {'year': 2023, 'cited_by_count': 6}, {'year': 2022, 'cited_by_count': 16}, {'year': 2021, 'cited_by_count': 21}, {'year': 2020, 'cited_by_count': 9}, {'year': 2019, 'cited_by_count': 15}, {'year': 2018, 'cited_by_count': 15}, {'year': 2017, 'cited_by_count': 22}, {'year': 2016, 'cited_by_count': 21}, {'year': 2015, 'cited_by_count': 26}, {'year': 2014, 'cited_by_count': 47}, {'year': 2013, 'cited_by_count': 52}, {'year': 2012, 'cited_by_count': 39}], 'updated_date': '2024-09-25T05:38:34.392977', 'created_date': '2016-06-24'}