{"id":"https://openalex.org/W7160620081","doi":"https://doi.org/10.1016/j.jfranklin.2026.108727","title":"Containment control for multi-agent systems with Markovian switching topologies: A distributed relay strategy","display_name":"Containment control for multi-agent systems with Markovian switching topologies: A distributed relay strategy","publication_year":2026,"publication_date":"2026-05-08","ids":{"openalex":"https://openalex.org/W7160620081","doi":"https://doi.org/10.1016/j.jfranklin.2026.108727"},"language":"en","primary_location":{"id":"doi:10.1016/j.jfranklin.2026.108727","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jfranklin.2026.108727","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.jfranklin.2026.108727","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135696293","display_name":"Xin Li","orcid":"https://orcid.org/0000-0002-8771-2478"},"institutions":[{"id":"https://openalex.org/I47689461","display_name":"Northeast Forestry University","ror":"https://ror.org/02yxnh564","country_code":"CN","type":"education","lineage":["https://openalex.org/I47689461"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Li","raw_affiliation_strings":["College of Computer and Control Engineering, Northeast Forestry University, Harbin, 150040, China"],"raw_orcid":"https://orcid.org/0000-0002-8771-2478","affiliations":[{"raw_affiliation_string":"College of Computer and Control Engineering, Northeast Forestry University, Harbin, 150040, China","institution_ids":["https://openalex.org/I47689461"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135727764","display_name":"Lu Huang","orcid":"https://orcid.org/0009-0006-7805-1715"},"institutions":[{"id":"https://openalex.org/I47689461","display_name":"Northeast Forestry University","ror":"https://ror.org/02yxnh564","country_code":"CN","type":"education","lineage":["https://openalex.org/I47689461"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lu Huang","raw_affiliation_strings":["College of Computer and Control Engineering, Northeast Forestry University, Harbin, 150040, China"],"raw_orcid":"https://orcid.org/0009-0006-7805-1715","affiliations":[{"raw_affiliation_string":"College of Computer and Control Engineering, Northeast Forestry University, Harbin, 150040, China","institution_ids":["https://openalex.org/I47689461"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001769331","display_name":"\u9b4f\u6653\u603b","orcid":null},"institutions":[{"id":"https://openalex.org/I47689461","display_name":"Northeast Forestry University","ror":"https://ror.org/02yxnh564","country_code":"CN","type":"education","lineage":["https://openalex.org/I47689461"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaozong Wei","raw_affiliation_strings":["College of Computer and Control Engineering, Northeast Forestry University, Harbin, 150040, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer and Control Engineering, Northeast Forestry University, Harbin, 150040, China","institution_ids":["https://openalex.org/I47689461"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5135728021","display_name":"Liangkuan Zhu","orcid":null},"institutions":[{"id":"https://openalex.org/I47689461","display_name":"Northeast Forestry University","ror":"https://ror.org/02yxnh564","country_code":"CN","type":"education","lineage":["https://openalex.org/I47689461"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Liangkuan Zhu","raw_affiliation_strings":["College of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin, 150040, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin, 150040, China","institution_ids":["https://openalex.org/I47689461"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008763316","display_name":"Mingfei Ban","orcid":"https://orcid.org/0000-0003-0702-8295"},"institutions":[{"id":"https://openalex.org/I47689461","display_name":"Northeast Forestry University","ror":"https://ror.org/02yxnh564","country_code":"CN","type":"education","lineage":["https://openalex.org/I47689461"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingfei Ban","raw_affiliation_strings":["College of Computer and Control Engineering, Northeast Forestry University, Harbin, 150040, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer and Control Engineering, Northeast Forestry University, Harbin, 150040, China","institution_ids":["https://openalex.org/I47689461"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5135728021"],"corresponding_institution_ids":["https://openalex.org/I47689461"],"apc_list":{"value":2700,"currency":"USD","value_usd":2700},"apc_paid":{"value":2700,"currency":"USD","value_usd":2700},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.55532177,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"363","issue":"10","first_page":"108727","last_page":"108727"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.3763999938964844,"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":0.3763999938964844,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.19580000638961792,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.10490000247955322,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/containment","display_name":"Containment (computer programming)","score":0.5705000162124634},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5257999897003174},{"id":"https://openalex.org/keywords/relay","display_name":"Relay","score":0.5001999735832214},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.46810001134872437},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4555000066757202},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.36399999260902405},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.3546999990940094}],"concepts":[{"id":"https://openalex.org/C2777019822","wikidata":"https://www.wikidata.org/wiki/Q390066","display_name":"Containment (computer programming)","level":2,"score":0.5705000162124634},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5555999875068665},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5257999897003174},{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.5001999735832214},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.46810001134872437},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4555000066757202},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.36399999260902405},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3546999990940094},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.3165000081062317},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.2856000065803528},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.27720001339912415},{"id":"https://openalex.org/C155386361","wikidata":"https://www.wikidata.org/wiki/Q1649571","display_name":"Process control","level":3,"score":0.2687000036239624},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.26840001344680786},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.26660001277923584},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.2565000057220459}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jfranklin.2026.108727","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jfranklin.2026.108727","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.jfranklin.2026.108727","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.jfranklin.2026.108727","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320335880","display_name":"Fundamental Research Funds for Central Universities of the Central South University","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W2062484461","https://openalex.org/W2734900073","https://openalex.org/W2939714564","https://openalex.org/W2982321573","https://openalex.org/W3046687233","https://openalex.org/W3106374788","https://openalex.org/W3114737796","https://openalex.org/W3120726845","https://openalex.org/W3126900201","https://openalex.org/W3159754016","https://openalex.org/W3203630573","https://openalex.org/W4287887354","https://openalex.org/W4307342458","https://openalex.org/W4319878871","https://openalex.org/W4321503324","https://openalex.org/W4323644290","https://openalex.org/W4378802548","https://openalex.org/W4379879636","https://openalex.org/W4380084021","https://openalex.org/W4386322132","https://openalex.org/W4387247673","https://openalex.org/W4390371679","https://openalex.org/W4390788172","https://openalex.org/W4390898462","https://openalex.org/W4390956278","https://openalex.org/W4391407186","https://openalex.org/W4394832186","https://openalex.org/W4394858627","https://openalex.org/W4396877937","https://openalex.org/W4402136292","https://openalex.org/W4402308326","https://openalex.org/W4405786522","https://openalex.org/W4406098590","https://openalex.org/W4406145409","https://openalex.org/W4406610576","https://openalex.org/W4407047695","https://openalex.org/W4407212588","https://openalex.org/W4407599969","https://openalex.org/W4409423980","https://openalex.org/W4410226930","https://openalex.org/W4410357816","https://openalex.org/W4410544166","https://openalex.org/W4413212298","https://openalex.org/W4414424575"],"related_works":[],"abstract_inverted_index":{"This":[0,38],"paper":[1],"investigates":[2],"the":[3,18,44,52,56,61,89,95,102,116,125,131,135,141,147],"containment":[4,65,117],"control":[5,66,118,149],"problem":[6],"in":[7,110,140,162],"relay-based":[8],"multi-agent":[9],"systems":[10],"(MASs)":[11],"with":[12],"Markov":[13,96],"switching":[14,104,126],"topologies.":[15],"To":[16],"improve":[17],"communication":[19],"efficiency":[20],"between":[21],"multiple":[22],"agents":[23,58,80],"distributed":[24,29],"over":[25],"long":[26],"distances,":[27],"a":[28,64],"relay":[30,62,136],"strategy":[31,39,67,137,150],"based":[32],"on":[33,51],"Kalman":[34],"filtering":[35],"is":[36,70,75,98,120,138,151],"proposed.":[37],"enables":[40],"accurate":[41],"estimation":[42,54,132],"of":[43,55,115,134,146],"leader\u2019s":[45],"state":[46,53],"during":[47],"long-distance":[48],"transmission.":[49],"Based":[50],"leader":[57,90],"obtained":[59],"through":[60,154],"strategy,":[63],"for":[68],"MASs":[69],"further":[71,121],"designed.":[72],"The":[73,113,144],"objective":[74],"to":[76,100],"guarantee":[77],"that":[78,130],"follower":[79],"can":[81],"eventually":[82],"achieve":[83],"convergence":[84],"and":[85],"be":[86],"contained":[87],"within":[88],"agents\u2019":[91],"convex":[92],"hull.":[93],"Moreover,":[94],"process":[97],"employed":[99],"describe":[101],"stochastic":[103],"topology,":[105,127],"highlighting":[106],"its":[107,159],"practical":[108],"applicability":[109],"engineering":[111],"problems.":[112],"boundedness":[114],"error":[119,133],"confirmed":[122],"by":[123],"analyzing":[124],"which":[128,157],"shows":[129],"bounded":[139],"mean-square":[142],"sense.":[143],"validity":[145],"proposed":[148],"ultimately":[152],"verified":[153],"simulation":[155],"studies,":[156],"highlights":[158],"great":[160],"potential":[161],"relevant":[163],"technical":[164],"fields.":[165]},"counts_by_year":[],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2026-05-09T00:00:00"}