{"id":"https://openalex.org/W2964117853","doi":"https://doi.org/10.1109/tsmc.2018.2882620","title":"Optimizing Pinning Control of Complex Dynamical Networks Based on Spectral Properties of Grounded Laplacian Matrices","display_name":"Optimizing Pinning Control of Complex Dynamical Networks Based on Spectral Properties of Grounded Laplacian Matrices","publication_year":2018,"publication_date":"2018-12-11","ids":{"openalex":"https://openalex.org/W2964117853","doi":"https://doi.org/10.1109/tsmc.2018.2882620","mag":"2964117853"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2018.2882620","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2018.2882620","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100387514","display_name":"Hui Liu","orcid":"https://orcid.org/0000-0001-7545-7986"},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Liu","raw_affiliation_strings":["Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, China","School of Automation, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-7545-7986","affiliations":[{"raw_affiliation_string":"Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"School of Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079691088","display_name":"Xuanhong Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuanhong Xu","raw_affiliation_strings":["Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, China","School of Automation, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"School of Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087098274","display_name":"Jun-an Lu","orcid":"https://orcid.org/0000-0001-5109-739X"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun-An Lu","raw_affiliation_strings":["School of Mathematics and Statistics, Wuhan University, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-5109-739X","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024633466","display_name":"Guanrong Chen","orcid":"https://orcid.org/0000-0003-1381-7418"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guanrong Chen","raw_affiliation_strings":["City University of Hong Kong, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0003-1381-7418","affiliations":[{"raw_affiliation_string":"City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081245089","display_name":"Zhigang Zeng","orcid":"https://orcid.org/0000-0003-4587-3588"},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhigang Zeng","raw_affiliation_strings":["Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, China","School of Automation, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0003-4587-3588","affiliations":[{"raw_affiliation_string":"Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan, China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"School of Automation, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":4.0347,"has_fulltext":false,"cited_by_count":127,"citation_normalized_percentile":{"value":0.94002508,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"51","issue":"2","first_page":"786","last_page":"796"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9778000116348267,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.7622842788696289},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7571908235549927},{"id":"https://openalex.org/keywords/algebraic-connectivity","display_name":"Algebraic connectivity","score":0.7330862283706665},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.617697536945343},{"id":"https://openalex.org/keywords/spectral-graph-theory","display_name":"Spectral graph theory","score":0.6038661003112793},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5638086199760437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5607375502586365},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.440855473279953},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.41740667819976807},{"id":"https://openalex.org/keywords/algebraic-graph-theory","display_name":"Algebraic graph theory","score":0.41024094820022583},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.38030147552490234},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3620550334453583},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24699953198432922},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.24529945850372314},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13625425100326538},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.09441545605659485}],"concepts":[{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.7622842788696289},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7571908235549927},{"id":"https://openalex.org/C7948225","wikidata":"https://www.wikidata.org/wiki/Q4723998","display_name":"Algebraic connectivity","level":4,"score":0.7330862283706665},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.617697536945343},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.6038661003112793},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5638086199760437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5607375502586365},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.440855473279953},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.41740667819976807},{"id":"https://openalex.org/C25799778","wikidata":"https://www.wikidata.org/wiki/Q4724003","display_name":"Algebraic graph theory","level":3,"score":0.41024094820022583},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.38030147552490234},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3620550334453583},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24699953198432922},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.24529945850372314},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13625425100326538},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.09441545605659485},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2018.2882620","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2018.2882620","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3002100101","display_name":"\u8f6f\u4ef6\u4f53\u7cfb\u7ed3\u6784\u6280\u672f\u503a\u52a1\u7ba1\u7406\u4e0e\u67b6\u6784\u8fc7\u7a0b\u7684\u878d\u5408\u673a\u5236\u53ca\u65b9\u6cd5","funder_award_id":"61702377","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5353600475","display_name":null,"funder_award_id":"2017CFB426","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"},{"id":"https://openalex.org/G7736959020","display_name":null,"funder_award_id":"61773175","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322186","display_name":"Natural Science Foundation of Hubei Province","ror":null},{"id":"https://openalex.org/F4320324116","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W607068030","https://openalex.org/W1512304705","https://openalex.org/W1551407527","https://openalex.org/W1588807949","https://openalex.org/W1597075609","https://openalex.org/W1841390517","https://openalex.org/W1966811233","https://openalex.org/W1976232622","https://openalex.org/W1994830523","https://openalex.org/W2015545173","https://openalex.org/W2019861006","https://openalex.org/W2019950225","https://openalex.org/W2037365847","https://openalex.org/W2038574937","https://openalex.org/W2041833126","https://openalex.org/W2042794537","https://openalex.org/W2060493211","https://openalex.org/W2062692785","https://openalex.org/W2064075132","https://openalex.org/W2070932224","https://openalex.org/W2075489015","https://openalex.org/W2083787309","https://openalex.org/W2093941324","https://openalex.org/W2113127719","https://openalex.org/W2117362627","https://openalex.org/W2119155480","https://openalex.org/W2120195503","https://openalex.org/W2124637492","https://openalex.org/W2129044508","https://openalex.org/W2129698781","https://openalex.org/W2153841181","https://openalex.org/W2157190392","https://openalex.org/W2160415132","https://openalex.org/W2160570876","https://openalex.org/W2165719629","https://openalex.org/W2167955841","https://openalex.org/W2168515859","https://openalex.org/W2170766502","https://openalex.org/W2278351347","https://openalex.org/W2288737219","https://openalex.org/W2313187164","https://openalex.org/W2343835401","https://openalex.org/W2410943624","https://openalex.org/W2461067303","https://openalex.org/W2746575323","https://openalex.org/W2762112322","https://openalex.org/W2771382046","https://openalex.org/W2790221363","https://openalex.org/W2798544890","https://openalex.org/W2883839991","https://openalex.org/W2891753317","https://openalex.org/W2964117853","https://openalex.org/W4233647833","https://openalex.org/W4243449554","https://openalex.org/W6632941875","https://openalex.org/W6635422874","https://openalex.org/W6679433052","https://openalex.org/W6694904053"],"related_works":["https://openalex.org/W2478475484","https://openalex.org/W2001476852","https://openalex.org/W1557246723","https://openalex.org/W2475700395","https://openalex.org/W1002309053","https://openalex.org/W2111424493","https://openalex.org/W2603136625","https://openalex.org/W2114334859","https://openalex.org/W3128040310","https://openalex.org/W2030274157"],"abstract_inverted_index":{"Pinning":[0],"control":[1,153],"of":[2,11,24,49,56,66,87,103,117,125,130,188,218],"a":[3,21],"complex":[4],"network":[5,51,111,119],"aims":[6],"at":[7],"forcing":[8],"the":[9,27,50,54,63,67,74,80,84,88,95,98,104,110,115,118,122,128,133,138,151,180,186,205,219],"states":[10],"all":[12],"nodes":[13,25,82,181,190,200],"to":[14,38,79,169,178,198],"track":[15],"an":[16,32],"external":[17],"signal":[18],"by":[19,62,72,157,216],"controlling":[20],"small":[22,202],"number":[23,129],"in":[26,167],"network.":[28,89],"In":[29],"this":[30,92],"paper,":[31],"algebraic":[33],"graph-theoretic":[34],"condition":[35],"is":[36,176,191,196,207],"introduced":[37],"optimize":[39],"pinning":[40,57,99,152],"control.":[41],"When":[42],"individual":[43],"node":[44,135,140],"dynamics":[45],"and":[46,76,137,164],"coupling":[47],"strength":[48],"are":[52,107,146],"given,":[53],"effectiveness":[55],"scheme":[58],"can":[59,213],"be":[60,214],"measured":[61],"smallest":[64,93,105,173],"eigenvalue":[65,106],"grounded":[68],"Laplacian":[69,85,120],"matrix":[70,86],"obtained":[71],"deleting":[73],"rows":[75],"columns":[77],"corresponding":[78,172],"pinned":[81,189],"from":[83],"The":[90,143],"larger":[91],"eigenvalue,":[94],"more":[96],"effective":[97,148],"scheme.":[100],"Spectral":[101],"properties":[102,145],"analyzed":[108],"using":[109],"topology":[112],"information,":[113],"including":[114],"spectrum":[116],"matrix,":[121],"minimal":[123],"degree":[124],"uncontrolled":[126,139],"nodes,":[127],"edges":[131],"between":[132],"controlled":[134],"set":[136],"set,":[141],"etc.":[142],"identified":[144],"shown":[147],"for":[149,161],"optimizing":[150],"strategy,":[154],"as":[155],"demonstrated":[156],"illustrative":[158],"examples.":[159],"Finally,":[160],"both":[162],"scale-free":[163],"small-world":[165],"networks,":[166],"order":[168],"maximize":[170],"their":[171],"eigenvalues,":[174],"it":[175,195],"better":[177,197],"pin":[179,199],"with":[182,201],"large":[183],"degrees":[184,203],"when":[185,204],"percentage":[187,206],"relatively":[192,208],"small,":[193],"while":[194],"large.":[209],"This":[210],"surprising":[211],"phenomenon":[212],"explained":[215],"one":[217],"theorems":[220],"established.":[221]},"counts_by_year":[{"year":2026,"cited_by_count":14},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":30},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
