{"id":"https://openalex.org/W3030746880","doi":"https://doi.org/10.1109/tcyb.2020.2991514","title":"On Containment for Linear Systems With Switching Topologies: A Novel State Transition Matrix Perspective","display_name":"On Containment for Linear Systems With Switching Topologies: A Novel State Transition Matrix Perspective","publication_year":2020,"publication_date":"2020-05-28","ids":{"openalex":"https://openalex.org/W3030746880","doi":"https://doi.org/10.1109/tcyb.2020.2991514","mag":"3030746880","pmid":"https://pubmed.ncbi.nlm.nih.gov/32471806"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2020.2991514","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2991514","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5100438397","display_name":"Cong Zhang","orcid":"https://orcid.org/0000-0002-9439-6725"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Cong Zhang","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053071794","display_name":"Jiahu Qin","orcid":"https://orcid.org/0000-0001-7580-0836"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiahu Qin","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101997909","display_name":"Qichao Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qichao Ma","raw_affiliation_strings":["Department of Automation, University of Science and Technology of China, Hefei, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028730873","display_name":"Yang Shi","orcid":"https://orcid.org/0000-0003-1337-5322"},"institutions":[{"id":"https://openalex.org/I212119943","display_name":"University of Victoria","ror":"https://ror.org/04s5mat29","country_code":"CA","type":"education","lineage":["https://openalex.org/I212119943"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Yang Shi","raw_affiliation_strings":["Department of Mechanical Engineering, University of Victoria, Victoria, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Victoria, Victoria, Canada","institution_ids":["https://openalex.org/I212119943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025987638","display_name":"Yu Kang","orcid":"https://orcid.org/0000-0002-8706-3252"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Kang","raw_affiliation_strings":["Department of Automation, State Key Laboratory of Fire Science, Institute of Advanced Technology, University of Science and Technology of China, Hefei, China","Key Laboratory of Technology in Geo-Spatial Information Processing and Application Systems, Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, State Key Laboratory of Fire Science, Institute of Advanced Technology, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]},{"raw_affiliation_string":"Key Laboratory of Technology in Geo-Spatial Information Processing and Application Systems, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100438397"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":0.7709,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.73689953,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":97},"biblio":{"volume":"52","issue":"2","first_page":"1061","last_page":"1072"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","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/T10249","display_name":"Distributed Control Multi-Agent Systems","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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9966999888420105,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9672999978065491,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.7279937267303467},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.61826491355896},{"id":"https://openalex.org/keywords/state-transition-matrix","display_name":"State-transition matrix","score":0.5954022407531738},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5365144610404968},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5292741060256958},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5222445130348206},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.5159645676612854},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5084120631217957},{"id":"https://openalex.org/keywords/containment","display_name":"Containment (computer programming)","score":0.4597944915294647},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44962722063064575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44137153029441833},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.4241410493850708},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42282533645629883},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.29842129349708557},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.23777467012405396},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1652090847492218},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08791816234588623}],"concepts":[{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.7279937267303467},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.61826491355896},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.5954022407531738},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5365144610404968},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5292741060256958},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5222445130348206},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.5159645676612854},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5084120631217957},{"id":"https://openalex.org/C2777019822","wikidata":"https://www.wikidata.org/wiki/Q390066","display_name":"Containment (computer programming)","level":2,"score":0.4597944915294647},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44962722063064575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44137153029441833},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.4241410493850708},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42282533645629883},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.29842129349708557},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.23777467012405396},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1652090847492218},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08791816234588623},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2020.2991514","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2020.2991514","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"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 Cybernetics","raw_type":"journal-article"},{"id":"pmid:32471806","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32471806","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4086287620","display_name":null,"funder_award_id":"61873252","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6110658884","display_name":null,"funder_award_id":"61725304","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8871303421","display_name":null,"funder_award_id":"61673361","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8898690338","display_name":null,"funder_award_id":"61922076","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1541125785","https://openalex.org/W1542938076","https://openalex.org/W1815500145","https://openalex.org/W1988095001","https://openalex.org/W2000806524","https://openalex.org/W2003456468","https://openalex.org/W2004117240","https://openalex.org/W2007453291","https://openalex.org/W2054819494","https://openalex.org/W2072302088","https://openalex.org/W2115206688","https://openalex.org/W2129922606","https://openalex.org/W2141126179","https://openalex.org/W2141410403","https://openalex.org/W2160549945","https://openalex.org/W2160932744","https://openalex.org/W2257788506","https://openalex.org/W2293710996","https://openalex.org/W2310320799","https://openalex.org/W2336159922","https://openalex.org/W2345265966","https://openalex.org/W2346012021","https://openalex.org/W2461826481","https://openalex.org/W2512776472","https://openalex.org/W2528298532","https://openalex.org/W2576254933","https://openalex.org/W2623040701","https://openalex.org/W2768779900","https://openalex.org/W2889909120","https://openalex.org/W2891411903","https://openalex.org/W2916745039","https://openalex.org/W2963784270","https://openalex.org/W3005135630","https://openalex.org/W4235143360"],"related_works":["https://openalex.org/W2461826481","https://openalex.org/W1537080923","https://openalex.org/W2491332856","https://openalex.org/W1541125785","https://openalex.org/W2736129168","https://openalex.org/W1993326764","https://openalex.org/W2136941277","https://openalex.org/W1990019183","https://openalex.org/W4396712699","https://openalex.org/W2970187449"],"abstract_inverted_index":{"This":[0,93],"article":[1],"studies":[2],"the":[3,37,43,56,66,79,97,107,110,125,130,134,149,160,177,187,196],"containment":[4,98],"control":[5],"problem":[6,44,99],"for":[7],"a":[8,51,59,72,84,101,152,191],"group":[9],"of":[10,14,25,58,78,109,119,133,148,151,159,176],"linear":[11,27,154,162],"systems,":[12],"consisting":[13],"more":[15],"than":[16],"one":[17],"leader,":[18],"over":[19],"switching":[20,38],"topologies.":[21],"The":[22],"input":[23],"matrices":[24,77],"these":[26,169],"systems":[28],"are":[29,140,144,181],"not":[30],"required":[31],"to":[32,65,100,124,167],"have":[33],"full-row":[34],"rank":[35],"and":[36,47,83],"can":[39],"be":[40],"arbitrary,":[41],"making":[42],"quite":[45],"general":[46],"challenging.":[48],"We":[49],"propose":[50],"novel":[52],"analysis":[53],"framework":[54],"from":[55],"viewpoint":[57],"state":[60,75,111,122],"transition":[61,76,112],"matrix.":[62],"Specifically,":[63],"according":[64],"inherent":[67],"linearity,":[68],"we":[69,114],"successfully":[70],"establish":[71],"connection":[73],"between":[74],"above":[80],"multileader":[81],"system":[82,87,163],"virtual":[85],"leader-following":[86],"obtained":[88],"by":[89,105,129],"combining":[90],"those":[91],"leaders.":[92],"enlightening":[94],"result":[95],"relates":[96],"consensus":[102],"one.":[103],"Then,":[104],"analyzing":[106],"property":[108],"matrix,":[113],"uncover":[115],"that":[116,186],"each":[117],"component":[118],"any":[120],"follower's":[121],"converges":[123],"convex":[126],"hull":[127],"spanned":[128],"corresponding":[131],"components":[132],"leaders',":[135],"provided":[136],"some":[137],"mild":[138],"conditions":[139,143],"satisfied.":[141],"These":[142],"derived":[145],"in":[146],"terms":[147],"concept":[150],"positive":[153],"system.":[155],"A":[156],"special":[157],"case":[158],"second-order":[161],"is":[164],"further":[165],"discussed":[166],"illustrate":[168],"conditions.":[170],"Moreover,":[171],"two":[172],"different":[173],"design":[174],"methods":[175],"feedback":[178],"gain":[179],"matrix":[180],"provided,":[182],"which":[183],"additionally":[184],"require":[185],"network":[188],"topology":[189],"contains":[190],"united":[192],"spanning":[193],"tree":[194],"all":[195],"time.":[197]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}