{"id":"https://openalex.org/W2556264647","doi":"https://doi.org/10.1080/00207179.2016.1263396","title":"Modulus consensus in a network of singularly perturbed systems with collaborative and antagonistic interactions","display_name":"Modulus consensus in a network of singularly perturbed systems with collaborative and antagonistic interactions","publication_year":2016,"publication_date":"2016-11-21","ids":{"openalex":"https://openalex.org/W2556264647","doi":"https://doi.org/10.1080/00207179.2016.1263396","mag":"2556264647"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2016.1263396","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2016.1263396","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","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/A5085022354","display_name":"Wu Yang","orcid":"https://orcid.org/0000-0002-8824-0679"},"institutions":[{"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":"Wu Yang","raw_affiliation_strings":["Key Laboratory of Image Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, Wuhan, P. R. China","School of Automation, Huazhong University of Science and Technology, Wuhan, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Image Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, Wuhan, P. R. China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Automation, Huazhong University of Science and Technology, Wuhan, P. R. China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090447443","display_name":"Yan\u2010Wu Wang","orcid":"https://orcid.org/0000-0002-4722-1332"},"institutions":[{"id":"https://openalex.org/I161350542","display_name":"China Three Gorges University","ror":"https://ror.org/0419nfc77","country_code":"CN","type":"education","lineage":["https://openalex.org/I161350542"]},{"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":true,"raw_author_name":"Yan-Wu Wang","raw_affiliation_strings":["Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang, P. R. China","Key Laboratory of Image Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, Wuhan, P. R. China","School of Automation, Huazhong University of Science and Technology, Wuhan, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang, P. R. China","institution_ids":["https://openalex.org/I161350542"]},{"raw_affiliation_string":"Key Laboratory of Image Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, Wuhan, P. R. China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Automation, Huazhong University of Science and Technology, Wuhan, P. R. China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043748803","display_name":"Jiang\u2010Wen Xiao","orcid":"https://orcid.org/0000-0002-8708-2920"},"institutions":[{"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":"Jiang-Wen Xiao","raw_affiliation_strings":["Key Laboratory of Image Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, Wuhan, P. R. China","School of Automation, Huazhong University of Science and Technology, Wuhan, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Image Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, Wuhan, P. R. China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"School of Automation, Huazhong University of Science and Technology, Wuhan, P. R. China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020014838","display_name":"Wu\u2010Hua Chen","orcid":"https://orcid.org/0000-0002-7381-1969"},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wu-Hua Chen","raw_affiliation_strings":["College of Mathematics and Information Science, Guangxi University, Nanning, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Guangxi University, Nanning, P. R. China","institution_ids":["https://openalex.org/I150807315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090447443"],"corresponding_institution_ids":["https://openalex.org/I161350542","https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":1.9945,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.89369573,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"90","issue":"12","first_page":"2667","last_page":"2676"},"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":0.9987000226974487,"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":0.9980999827384949,"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/modulus","display_name":"Modulus","score":0.6117569208145142},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4168328046798706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3830519914627075},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3713739514350891},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13925865292549133},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11793175339698792},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10184448957443237}],"concepts":[{"id":"https://openalex.org/C193867417","wikidata":"https://www.wikidata.org/wiki/Q6889814","display_name":"Modulus","level":2,"score":0.6117569208145142},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4168328046798706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3830519914627075},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3713739514350891},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13925865292549133},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11793175339698792},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10184448957443237}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2016.1263396","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2016.1263396","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5670407992","display_name":null,"funder_award_id":"61374171, 61572210, 51537003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5967568269","display_name":null,"funder_award_id":"2015TS030","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W19838944","https://openalex.org/W379337736","https://openalex.org/W934261879","https://openalex.org/W1515224583","https://openalex.org/W1630241696","https://openalex.org/W1646759741","https://openalex.org/W1698346692","https://openalex.org/W1967509640","https://openalex.org/W1970613448","https://openalex.org/W1975034414","https://openalex.org/W1991418841","https://openalex.org/W2004621158","https://openalex.org/W2007673294","https://openalex.org/W2023591577","https://openalex.org/W2035554578","https://openalex.org/W2042426187","https://openalex.org/W2055933372","https://openalex.org/W2056598937","https://openalex.org/W2058766213","https://openalex.org/W2075175322","https://openalex.org/W2075720166","https://openalex.org/W2081827062","https://openalex.org/W2083331766","https://openalex.org/W2088362368","https://openalex.org/W2106855282","https://openalex.org/W2135817819","https://openalex.org/W2141066375","https://openalex.org/W2146890818","https://openalex.org/W2147326597","https://openalex.org/W2160643434","https://openalex.org/W2166103243","https://openalex.org/W2167120969","https://openalex.org/W2285142925","https://openalex.org/W2615685188","https://openalex.org/W3142588439","https://openalex.org/W4231397353"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,23,41,53,66,91,108,111],"modulus":[4,88],"consensus":[5],"in":[6],"a":[7,36],"network":[8],"of":[9,14,43,94,110],"singularly":[10,58,77],"perturbed":[11,59,78],"systems,":[12],"all":[13],"which":[15,75],"own":[16],"multi-time":[17],"scales":[18],"characteristics.":[19],"The":[20],"interactions":[21,86],"among":[22],"agents":[24],"are":[25,72,104],"collaborative":[26,83],"and":[27,30,65,84],"antagonistic":[28,85],"interactions,":[29],"it":[31],"can":[32],"been":[33,47],"modelled":[34],"by":[35],"signed":[37],"directed":[38],"graph.":[39],"Also,":[40],"effect":[42],"time-varying":[44,79],"delay":[45,80],"has":[46],"taken":[48],"into":[49],"account":[50],"when":[51],"modelling":[52],"agent":[54],"dynamics.":[55],"Based":[56],"on":[57],"decomposition":[60],"method,":[61],"Kronecker":[62],"product":[63],"technique":[64],"comparison":[67],"principle,":[68],"several":[69],"sufficient":[70],"conditions":[71],"presented":[73,105],"under":[74],"networked":[76],"systems":[81],"with":[82],"achieve":[87],"consensus.":[89],"Moreover,":[90],"upper":[92],"bound":[93],"singular":[95],"perturbation":[96],"parameter":[97],"is":[98],"deduced":[99],"explicitly.":[100],"Two":[101],"simulation":[102],"examples":[103],"to":[106],"illustrate":[107],"validity":[109],"proposed":[112],"results.":[113]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
