{"id":"https://openalex.org/W4225691147","doi":"https://doi.org/10.1109/tsmc.2022.3151758","title":"Analysis of Structural Balance and Distributed Control for High-Order Signed Networks","display_name":"Analysis of Structural Balance and Distributed Control for High-Order Signed Networks","publication_year":2022,"publication_date":"2022-03-07","ids":{"openalex":"https://openalex.org/W4225691147","doi":"https://doi.org/10.1109/tsmc.2022.3151758"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2022.3151758","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2022.3151758","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/A5078689543","display_name":"Qiang Song","orcid":"https://orcid.org/0000-0001-9635-1355"},"institutions":[{"id":"https://openalex.org/I4210131125","display_name":"Huanghuai University","ror":"https://ror.org/02k92ks68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131125"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiang Song","raw_affiliation_strings":["Henan International Joint Laboratory of Behavior Optimization Control for Smart Robots and the School of Information Engineering, Huanghuai University, Zhumadian, China"],"raw_orcid":"https://orcid.org/0000-0001-9635-1355","affiliations":[{"raw_affiliation_string":"Henan International Joint Laboratory of Behavior Optimization Control for Smart Robots and the School of Information Engineering, Huanghuai University, Zhumadian, China","institution_ids":["https://openalex.org/I4210131125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100398912","display_name":"Guoping L\u00fc","orcid":"https://orcid.org/0000-0002-6815-4554"},"institutions":[{"id":"https://openalex.org/I199305430","display_name":"Nantong University","ror":"https://ror.org/02afcvw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I199305430"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoping Lu","raw_affiliation_strings":["School of Electrical Engineering, Nantong University, Nantong, China"],"raw_orcid":"https://orcid.org/0000-0002-6815-4554","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Nantong University, Nantong, China","institution_ids":["https://openalex.org/I199305430"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040088510","display_name":"Guanghui Wen","orcid":"https://orcid.org/0000-0003-0070-8597"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanghui Wen","raw_affiliation_strings":["Department of Systems Science, School of Mathematics, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-0070-8597","affiliations":[{"raw_affiliation_string":"Department of Systems Science, School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058898893","display_name":"Yu Zhao","orcid":"https://orcid.org/0000-0001-8797-8498"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Zhao","raw_affiliation_strings":["School of Automation, Northwestern Polytechnical University, Xi’an, China"],"raw_orcid":"https://orcid.org/0000-0001-8797-8498","affiliations":[{"raw_affiliation_string":"School of Automation, Northwestern Polytechnical University, Xi’an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100453036","display_name":"Fang Liu","orcid":"https://orcid.org/0000-0002-0430-4381"},"institutions":[{"id":"https://openalex.org/I4210131125","display_name":"Huanghuai University","ror":"https://ror.org/02k92ks68","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210131125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang Liu","raw_affiliation_strings":["Henan International Joint Laboratory of Behavior Optimization Control for Smart Robots and the School of Information Engineering, Huanghuai University, Zhumadian, China"],"raw_orcid":"https://orcid.org/0000-0002-0430-4381","affiliations":[{"raw_affiliation_string":"Henan International Joint Laboratory of Behavior Optimization Control for Smart Robots and the School of Information Engineering, Huanghuai University, Zhumadian, China","institution_ids":["https://openalex.org/I4210131125"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5078689543"],"corresponding_institution_ids":["https://openalex.org/I4210131125"],"apc_list":null,"apc_paid":null,"fwci":0.7134,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.7097537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"52","issue":"11","first_page":"7134","last_page":"7147"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9997000098228455,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9941999912261963,"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/adjacency-matrix","display_name":"Adjacency matrix","score":0.860543429851532},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.675324559211731},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6014440655708313},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5179520845413208},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.4625816345214844},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4618839621543884},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.452609658241272},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.4429270923137665},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4407652020454407},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.42794644832611084},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4188236594200134},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4144085943698883},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3375794291496277},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33725810050964355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3194391429424286},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.08811387419700623}],"concepts":[{"id":"https://openalex.org/C180356752","wikidata":"https://www.wikidata.org/wiki/Q727035","display_name":"Adjacency matrix","level":3,"score":0.860543429851532},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.675324559211731},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6014440655708313},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5179520845413208},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.4625816345214844},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4618839621543884},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.452609658241272},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4429270923137665},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4407652020454407},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.42794644832611084},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4188236594200134},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4144085943698883},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3375794291496277},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33725810050964355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3194391429424286},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.08811387419700623},{"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/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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2022.3151758","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2022.3151758","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/G2254032162","display_name":null,"funder_award_id":"212102210142","funder_id":"https://openalex.org/F4320323845","funder_display_name":"Natural Science Foundation of Henan Province"},{"id":"https://openalex.org/G2575069074","display_name":null,"funder_award_id":"62088101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4314764617","display_name":null,"funder_award_id":"61973177","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5024284229","display_name":null,"funder_award_id":"61973252","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5060958647","display_name":null,"funder_award_id":"62073079","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5707286148","display_name":null,"funder_award_id":"62073180","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/F4320323845","display_name":"Natural Science Foundation of Henan Province","ror":null},{"id":"https://openalex.org/F4320329524","display_name":"Huanghuai University","ror":"https://ror.org/02k92ks68"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W83533993","https://openalex.org/W607068030","https://openalex.org/W645937136","https://openalex.org/W836351843","https://openalex.org/W950821216","https://openalex.org/W1588998206","https://openalex.org/W1884770762","https://openalex.org/W1967509640","https://openalex.org/W1975003962","https://openalex.org/W2000281623","https://openalex.org/W2019149899","https://openalex.org/W2077000461","https://openalex.org/W2083759184","https://openalex.org/W2107396783","https://openalex.org/W2129891269","https://openalex.org/W2154647517","https://openalex.org/W2169090997","https://openalex.org/W2192655208","https://openalex.org/W2310756702","https://openalex.org/W2343734929","https://openalex.org/W2345172184","https://openalex.org/W2484117929","https://openalex.org/W2493687459","https://openalex.org/W2530794077","https://openalex.org/W2588573379","https://openalex.org/W2592442839","https://openalex.org/W2738765409","https://openalex.org/W2746575323","https://openalex.org/W2758835977","https://openalex.org/W2769537296","https://openalex.org/W2800598982","https://openalex.org/W2883565846","https://openalex.org/W2924620096","https://openalex.org/W2943627599","https://openalex.org/W2972759927","https://openalex.org/W2981028304","https://openalex.org/W2985097172","https://openalex.org/W3094757083","https://openalex.org/W3097604292","https://openalex.org/W3101211700","https://openalex.org/W3151628504","https://openalex.org/W3157711288","https://openalex.org/W3161573486","https://openalex.org/W4229706427"],"related_works":["https://openalex.org/W4213150077","https://openalex.org/W2369410163","https://openalex.org/W2059018062","https://openalex.org/W2604585036","https://openalex.org/W2078477160","https://openalex.org/W1989103179","https://openalex.org/W1991172810","https://openalex.org/W125803343","https://openalex.org/W2153421018","https://openalex.org/W2117632582"],"abstract_inverted_index":{"This":[0],"article":[1],"investigates":[2],"the":[3,27,36,41,45,50,55,70,91,95,102],"problems":[4],"of":[5,30,40,49,58,72,90],"structural":[6,28],"balance":[7,29],"and":[8,44,64],"distributed":[9,56],"control":[10,57],"for":[11],"a":[12,31,76],"high-order":[13,59],"signed":[14,60,92],"network":[15,33,93,105],"with":[16],"generic":[17],"linear":[18],"dynamics.":[19],"A":[20],"novel":[21],"approach":[22],"is":[23,79,107],"proposed":[24,96],"to":[25,81],"analyze":[26],"general":[32],"based":[34],"on":[35,69],"strongly":[37],"connected":[38],"components":[39],"topology":[42],"graph":[43],"Frobenius":[46],"normal":[47],"form":[48],"adjacency":[51],"matrix.":[52],"To":[53],"address":[54],"networks,":[61],"both":[62],"state-feedback":[63],"observer-type":[65],"algorithms":[66,97],"are":[67,98,117],"developed":[68],"basis":[71],"low-gain":[73],"strategies,":[74],"where":[75,101],"unified":[77],"framework":[78],"presented":[80],"construct":[82],"full-":[83],"or":[84],"reduced-order":[85],"observers.":[86],"The":[87,114],"dynamical":[88],"behaviors":[89],"under":[94],"systematically":[99],"explored,":[100],"nontrivial":[103],"final":[104],"state":[106],"computed":[108],"by":[109,119],"employing":[110],"an":[111],"eigenvector-based":[112],"approach.":[113],"theoretical":[115],"results":[116],"illustrated":[118],"numerical":[120],"examples.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}