{"id":"https://openalex.org/W4225927464","doi":"https://doi.org/10.1109/tcns.2022.3158817","title":"Formation Tracking Control of Networked Systems With Time-Varying Delays and Sampling Under Fixed and Markovian Switching Topology","display_name":"Formation Tracking Control of Networked Systems With Time-Varying Delays and Sampling Under Fixed and Markovian Switching Topology","publication_year":2022,"publication_date":"2022-03-15","ids":{"openalex":"https://openalex.org/W4225927464","doi":"https://doi.org/10.1109/tcns.2022.3158817"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2022.3158817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2022.3158817","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network 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/A5005153091","display_name":"Xiongding Liu","orcid":"https://orcid.org/0000-0003-1770-9764"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiongding Liu","raw_affiliation_strings":["College of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-1770-9764","affiliations":[{"raw_affiliation_string":"College of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063134490","display_name":"Feiqi Deng","orcid":"https://orcid.org/0000-0002-0257-5647"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feiqi Deng","raw_affiliation_strings":["College of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-0257-5647","affiliations":[{"raw_affiliation_string":"College of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015297129","display_name":"Wei Wu","orcid":"https://orcid.org/0000-0002-8734-1582"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wu Wei","raw_affiliation_strings":["College of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-8734-1582","affiliations":[{"raw_affiliation_string":"College of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015486684","display_name":"Fangzhe Wan","orcid":"https://orcid.org/0000-0002-8363-7132"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fangzhe Wan","raw_affiliation_strings":["College of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005153091"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":5.4216,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.96011468,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"9","issue":"2","first_page":"601","last_page":"612"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","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/T10249","display_name":"Distributed Control Multi-Agent Systems","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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9983000159263611,"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/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9864000082015991,"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/algebraic-graph-theory","display_name":"Algebraic graph theory","score":0.5232980847358704},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5016205310821533},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.49507489800453186},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.49009668827056885},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.4848578870296478},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4648318290710449},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4626994729042053},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4422789216041565},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.43862056732177734},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.41813623905181885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3723302483558655},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3431297540664673},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3378543555736542},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2212238311767578},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14796119928359985},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10545361042022705}],"concepts":[{"id":"https://openalex.org/C25799778","wikidata":"https://www.wikidata.org/wiki/Q4724003","display_name":"Algebraic graph theory","level":3,"score":0.5232980847358704},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5016205310821533},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.49507489800453186},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.49009668827056885},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.4848578870296478},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4648318290710449},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4626994729042053},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4422789216041565},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.43862056732177734},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.41813623905181885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3723302483558655},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3431297540664673},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3378543555736542},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2212238311767578},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14796119928359985},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10545361042022705},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcns.2022.3158817","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2022.3158817","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4699999988079071,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2461175089","display_name":null,"funder_award_id":"61873099","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4107757844","display_name":null,"funder_award_id":"2020A1515010441","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G5268166244","display_name":null,"funder_award_id":"61603358","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6919473672","display_name":null,"funder_award_id":"61573148","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7983794113","display_name":null,"funder_award_id":"61733008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8051884908","display_name":null,"funder_award_id":"62073144","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/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":54,"referenced_works":["https://openalex.org/W1494628843","https://openalex.org/W1499803169","https://openalex.org/W1517023801","https://openalex.org/W1976754515","https://openalex.org/W1981826826","https://openalex.org/W1982947074","https://openalex.org/W2029089298","https://openalex.org/W2063308774","https://openalex.org/W2072020080","https://openalex.org/W2079589234","https://openalex.org/W2086266932","https://openalex.org/W2119120935","https://openalex.org/W2141751707","https://openalex.org/W2160643434","https://openalex.org/W2313950937","https://openalex.org/W2400963224","https://openalex.org/W2417709453","https://openalex.org/W2508148686","https://openalex.org/W2510801656","https://openalex.org/W2532384824","https://openalex.org/W2590210788","https://openalex.org/W2724210477","https://openalex.org/W2742416981","https://openalex.org/W2744499560","https://openalex.org/W2768671897","https://openalex.org/W2804761573","https://openalex.org/W2889785749","https://openalex.org/W2891239089","https://openalex.org/W2898358912","https://openalex.org/W2940830480","https://openalex.org/W2941038413","https://openalex.org/W2943334970","https://openalex.org/W2945881826","https://openalex.org/W2947481612","https://openalex.org/W2949247354","https://openalex.org/W2962815952","https://openalex.org/W2966256420","https://openalex.org/W2969101332","https://openalex.org/W2990224971","https://openalex.org/W2996328749","https://openalex.org/W2997361925","https://openalex.org/W3031570444","https://openalex.org/W3037099908","https://openalex.org/W3045915769","https://openalex.org/W3090676133","https://openalex.org/W3099877635","https://openalex.org/W3119852476","https://openalex.org/W3120334189","https://openalex.org/W3122276167","https://openalex.org/W3130614785","https://openalex.org/W3136486511","https://openalex.org/W3183253375","https://openalex.org/W3199573520","https://openalex.org/W6750258011"],"related_works":["https://openalex.org/W2766499196","https://openalex.org/W2790395807","https://openalex.org/W2111838183","https://openalex.org/W2017968403","https://openalex.org/W2264666136","https://openalex.org/W2088612185","https://openalex.org/W2793992517","https://openalex.org/W2016910787","https://openalex.org/W2006091658","https://openalex.org/W2085129446"],"abstract_inverted_index":{"This":[0],"article":[1],"studies":[2],"the":[3,57,66,83,101,106,109],"formation":[4,53,87],"tracking":[5,54,88],"control":[6,103],"(FTC)":[7],"of":[8,30,69,108],"nonlinear":[9],"second-order":[10],"leader\u2013following":[11],"multiagent":[12],"systems":[13],"(LFMASs)":[14],"with":[15],"time-varying":[16,71],"delays":[17,72],"and":[18,27,33,39,61],"periodic":[19],"sampling.":[20],"The":[21],"FTC":[22],"protocols":[23],"based":[24],"on":[25],"position":[26],"velocity":[28],"information":[29],"neighbor":[31],"agents":[32],"measurable":[34],"communication":[35],"noise":[36],"in":[37,89],"fixed":[38],"Markovian":[40],"switching":[41],"directed":[42],"topology":[43],"are":[44,49],"proposed.":[45],"Some":[46],"sufficient":[47],"conditions":[48],"obtained":[50],"to":[51],"reach":[52],"by":[55,114],"using":[56],"algebraic":[58],"graph":[59],"theory":[60],"generalized":[62],"Halanay":[63],"inequality.":[64],"Meanwhile,":[65],"upper":[67],"bound":[68],"formation-able":[70],"<inline-formula":[73],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[74],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[75],"notation=\"LaTeX\">$\\bar{\\tau":[76],"}$</tex-math></inline-formula>":[77],"is":[78,112],"obtained.":[79],"Results":[80],"show":[81],"that":[82],"LFMASs":[84],"can":[85],"achieve":[86],"mean-square":[90],"exponential":[91,98],"stability":[92,99],"as":[93,95],"well":[94],"almost":[96],"sure":[97],"under":[100],"proposed":[102],"algorithms.":[104],"Finally,":[105],"availability":[107],"theoretical":[110],"results":[111],"verified":[113],"numerical":[115],"simulation.":[116]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":13},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}