{"id":"https://openalex.org/W4212803484","doi":"https://doi.org/10.1109/tnse.2022.3147786","title":"PID Control for Output Synchronization of Multiple Output Coupled Complex Networks","display_name":"PID Control for Output Synchronization of Multiple Output Coupled Complex Networks","publication_year":2022,"publication_date":"2022-02-15","ids":{"openalex":"https://openalex.org/W4212803484","doi":"https://doi.org/10.1109/tnse.2022.3147786"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2022.3147786","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2022.3147786","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","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/A5024427613","display_name":"Linhao Zhao","orcid":"https://orcid.org/0000-0001-6709-9875"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Lin-hao Zhao","raw_affiliation_strings":["Australian AI Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"Australian AI Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048286444","display_name":"Shiping Wen","orcid":"https://orcid.org/0000-0002-5048-0319"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Shiping Wen","raw_affiliation_strings":["Australian AI Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"Australian AI Institute, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100413849","display_name":"Min Xu","orcid":"https://orcid.org/0000-0001-9581-8849"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Min Xu","raw_affiliation_strings":["School of Electrical and Data Engineering, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Data Engineering, Faculty of Engineering and Information Technology, University of Technology Sydney, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I114017466"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013941056","display_name":"Kaibo Shi","orcid":"https://orcid.org/0000-0002-9863-9229"},"institutions":[{"id":"https://openalex.org/I4210125143","display_name":"Chengdu University","ror":"https://ror.org/034z67559","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210125143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kaibo Shi","raw_affiliation_strings":["School of Information Science and Engineering, Chengdu University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Chengdu University, Chengdu, China","institution_ids":["https://openalex.org/I4210125143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013161489","display_name":"Song Zhu","orcid":"https://orcid.org/0000-0001-5228-9406"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Song Zhu","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074290686","display_name":"Tingwen Huang","orcid":"https://orcid.org/0000-0001-9610-846X"},"institutions":[{"id":"https://openalex.org/I58152225","display_name":"Texas A&M University at Qatar","ror":"https://ror.org/03vb4dm14","country_code":"QA","type":"education","lineage":["https://openalex.org/I58152225","https://openalex.org/I91045830"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"Tingwen Huang","raw_affiliation_strings":["Science Program, Texas A&amp;M University at Qatar, Doha, Qatar"],"affiliations":[{"raw_affiliation_string":"Science Program, Texas A&amp;M University at Qatar, Doha, Qatar","institution_ids":["https://openalex.org/I58152225"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5024427613"],"corresponding_institution_ids":["https://openalex.org/I114017466"],"apc_list":null,"apc_paid":null,"fwci":6.7088,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.9721687,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"9","issue":"3","first_page":"1553","last_page":"1566"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"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":1.0,"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":0.9994999766349792,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9980999827384949,"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/synchronization","display_name":"Synchronization (alternating current)","score":0.7829217910766602},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.7635294198989868},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.529110848903656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46887898445129395},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4637919068336487},{"id":"https://openalex.org/keywords/pi","display_name":"Pi","score":0.45850756764411926},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45254820585250854},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.4172571003437042},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.406954288482666},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.36397337913513184},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35628634691238403},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.2985295057296753},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27085185050964355},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2364594042301178},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.16501715779304504},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.10310298204421997},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10087794065475464},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09674584865570068},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07932907342910767}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7829217910766602},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.7635294198989868},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.529110848903656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46887898445129395},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4637919068336487},{"id":"https://openalex.org/C53009064","wikidata":"https://www.wikidata.org/wiki/Q167","display_name":"Pi","level":2,"score":0.45850756764411926},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45254820585250854},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4172571003437042},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.406954288482666},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.36397337913513184},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35628634691238403},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2985295057296753},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27085185050964355},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2364594042301178},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.16501715779304504},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.10310298204421997},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10087794065475464},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09674584865570068},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07932907342910767},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnse.2022.3147786","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2022.3147786","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2284030266","display_name":null,"funder_award_id":"NPRP 9-466-1-103","funder_id":"https://openalex.org/F4320332753","funder_display_name":"Qatar National Research Fund"}],"funders":[{"id":"https://openalex.org/F4320332753","display_name":"Qatar National Research Fund","ror":"https://ror.org/01svaqq28"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1964247194","https://openalex.org/W1971308595","https://openalex.org/W1979348722","https://openalex.org/W1995355169","https://openalex.org/W1995486780","https://openalex.org/W2034356849","https://openalex.org/W2041011042","https://openalex.org/W2051832061","https://openalex.org/W2057864643","https://openalex.org/W2079844094","https://openalex.org/W2109184141","https://openalex.org/W2113028215","https://openalex.org/W2169059791","https://openalex.org/W2177341266","https://openalex.org/W2184384388","https://openalex.org/W2241956900","https://openalex.org/W2553895376","https://openalex.org/W2592532861","https://openalex.org/W2615151705","https://openalex.org/W2751135524","https://openalex.org/W2754196466","https://openalex.org/W2762112322","https://openalex.org/W2767914508","https://openalex.org/W2770416798","https://openalex.org/W2772204739","https://openalex.org/W2773015394","https://openalex.org/W2789482995","https://openalex.org/W2792303075","https://openalex.org/W2800470490","https://openalex.org/W2800901244","https://openalex.org/W2801424549","https://openalex.org/W2888119068","https://openalex.org/W2896935988","https://openalex.org/W2905307702","https://openalex.org/W2911953150","https://openalex.org/W2944035749","https://openalex.org/W2946019601","https://openalex.org/W2946510843","https://openalex.org/W2948868795","https://openalex.org/W2988685755","https://openalex.org/W2991395448","https://openalex.org/W2995778623","https://openalex.org/W3003758839","https://openalex.org/W3028121073","https://openalex.org/W3045545619","https://openalex.org/W3048015456","https://openalex.org/W3049682390","https://openalex.org/W3079481082","https://openalex.org/W3086076838","https://openalex.org/W3102573360","https://openalex.org/W3118300022","https://openalex.org/W3120105655","https://openalex.org/W3125510006","https://openalex.org/W3198038704","https://openalex.org/W3201421046"],"related_works":["https://openalex.org/W2030762054","https://openalex.org/W3157618815","https://openalex.org/W2401345448","https://openalex.org/W255820224","https://openalex.org/W2002388147","https://openalex.org/W2278807000","https://openalex.org/W2964228179","https://openalex.org/W2628590989","https://openalex.org/W3098928304","https://openalex.org/W2742629407"],"abstract_inverted_index":{"This":[0],"article":[1],"attempts":[2],"to":[3,101],"address":[4],"output":[5,14,19,55,78],"synchronization":[6,15,56,79],"and":[7,27,37,50,68,91],"<inline-formula":[8,72],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[9,73],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[10,74],"notation=\"LaTeX\">$\\mathcal":[11,75],"{H}_{\\infty":[12,76],"}$</tex-math></inline-formula>":[13,77],"problems":[16],"for":[17,58,80],"multiple":[18],"coupled":[20],"complex":[21],"networks":[22],"(MOCCNs)":[23],"under":[24],"proportional-derivative":[25],"(PD)":[26],"proportional-integral":[28],"(PI)":[29],"controllers.":[30,93],"Firstly,":[31],"two":[32,95],"classes":[33],"of":[34,88,105],"MOCCNs":[35,59,81],"without":[36],"with":[38,85],"external":[39],"disturbances":[40],"are":[41,60,98],"separately":[42,99],"put":[43],"forward.":[44],"Secondly,":[45],"based":[46],"on":[47],"the":[48,64,86,89,103],"PD":[49,90],"PI":[51,92],"control":[52],"schemes,":[53],"several":[54],"criteria":[57],"formulated":[61],"by":[62],"using":[63],"Lyapunov":[65],"functional":[66],"method":[67],"inequality":[69],"techniques.":[70],"Thirdly,":[71],"is":[82],"also":[83],"studied":[84],"help":[87],"Finally,":[94],"numerical":[96],"examples":[97],"presented":[100],"demonstrate":[102],"validity":[104],"acquired":[106],"theoretical":[107],"results.":[108]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":11}],"updated_date":"2026-04-02T15:55:50.835912","created_date":"2025-10-10T00:00:00"}
