{"id":"https://openalex.org/W4285027076","doi":"https://doi.org/10.1109/tac.2022.3190054","title":"Distributed Continuous-Time Algorithm for Time-Varying Optimization With Affine Formation Constraints","display_name":"Distributed Continuous-Time Algorithm for Time-Varying Optimization With Affine Formation Constraints","publication_year":2022,"publication_date":"2022-07-12","ids":{"openalex":"https://openalex.org/W4285027076","doi":"https://doi.org/10.1109/tac.2022.3190054"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3190054","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3190054","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic 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/A5025564118","display_name":"Chu Wu","orcid":"https://orcid.org/0000-0002-4894-8453"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chu Wu","raw_affiliation_strings":["School of Automation, Beijing Institute of Technology, Beijing, China","Key Laboratory of Intelligent Control and Decision of Complex Systems, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-4894-8453","affiliations":[{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Control and Decision of Complex Systems, Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Hao Fang","orcid":"https://orcid.org/0000-0002-9627-0325"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Fang","raw_affiliation_strings":["School of Automation, Beijing Institute of Technology, Beijing, China","Key Laboratory of Intelligent Control and Decision of Complex Systems, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-9627-0325","affiliations":[{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Control and Decision of Complex Systems, Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015366869","display_name":"Xianlin Zeng","orcid":"https://orcid.org/0000-0002-6224-9974"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianlin Zeng","raw_affiliation_strings":["School of Automation, Beijing Institute of Technology, Beijing, China","Key Laboratory of Intelligent Control and Decision of Complex Systems, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-6224-9974","affiliations":[{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Control and Decision of Complex Systems, Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100650551","display_name":"Qingkai Yang","orcid":"https://orcid.org/0000-0001-9247-7786"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingkai Yang","raw_affiliation_strings":["School of Automation, Beijing Institute of Technology, Beijing, China","Key Laboratory of Intelligent Control and Decision of Complex Systems, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-9247-7786","affiliations":[{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"Key Laboratory of Intelligent Control and Decision of Complex Systems, Beijing, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066766716","display_name":"Yue Wei","orcid":"https://orcid.org/0000-0003-0942-7062"},"institutions":[{"id":"https://openalex.org/I4210136793","display_name":"Peng Cheng Laboratory","ror":"https://ror.org/03qdqbt06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210136793"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue Wei","raw_affiliation_strings":["Frontier Research Center, Peng Cheng Laboratory, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0003-0942-7062","affiliations":[{"raw_affiliation_string":"Frontier Research Center, Peng Cheng Laboratory, Shenzhen, China","institution_ids":["https://openalex.org/I4210136793"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100333005","display_name":"Jie Chen","orcid":"https://orcid.org/0000-0003-2449-9793"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]},{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Chen","raw_affiliation_strings":["School of Automation, Beijing Institute of Technology, Beijing, China","College of Electronics and Information Engineering, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-2449-9793","affiliations":[{"raw_affiliation_string":"School of Automation, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]},{"raw_affiliation_string":"College of Electronics and Information Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5025564118"],"corresponding_institution_ids":["https://openalex.org/I125839683"],"apc_list":null,"apc_paid":null,"fwci":7.1336,"has_fulltext":false,"cited_by_count":53,"citation_normalized_percentile":{"value":0.97495135,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"68","issue":"4","first_page":"2615","last_page":"2622"},"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/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.987500011920929,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9771999716758728,"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/affine-transformation","display_name":"Affine transformation","score":0.7393496036529541},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.6941733360290527},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5551420450210571},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.539974570274353},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5227848887443542},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.508330762386322},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.4947955012321472},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4947480857372284},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4683137834072113},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.45434683561325073},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44698381423950195},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4208317995071411},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4027143716812134},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3292558789253235},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08553177118301392}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7393496036529541},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.6941733360290527},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5551420450210571},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.539974570274353},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5227848887443542},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.508330762386322},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.4947955012321472},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4947480857372284},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4683137834072113},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.45434683561325073},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44698381423950195},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4208317995071411},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4027143716812134},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3292558789253235},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08553177118301392},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2022.3190054","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3190054","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"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/G2613911948","display_name":null,"funder_award_id":"U1913602","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4653071965","display_name":null,"funder_award_id":"61903035","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4691714693","display_name":null,"funder_award_id":"61873033","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5853272322","display_name":null,"funder_award_id":"62073035","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6968088389","display_name":null,"funder_award_id":"61720106011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8508485082","display_name":null,"funder_award_id":"62133002","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W643973177","https://openalex.org/W1967509640","https://openalex.org/W1985723726","https://openalex.org/W2015113370","https://openalex.org/W2048723778","https://openalex.org/W2087644059","https://openalex.org/W2162195727","https://openalex.org/W2215067230","https://openalex.org/W2243302717","https://openalex.org/W2343580824","https://openalex.org/W2570345021","https://openalex.org/W2590184275","https://openalex.org/W2592202249","https://openalex.org/W2606681432","https://openalex.org/W2763533254","https://openalex.org/W2765383110","https://openalex.org/W2787958879","https://openalex.org/W2801399257","https://openalex.org/W2913943886","https://openalex.org/W2945856836","https://openalex.org/W2953023533","https://openalex.org/W2954840567","https://openalex.org/W2962917190","https://openalex.org/W2964028927","https://openalex.org/W2998882145","https://openalex.org/W3016908631","https://openalex.org/W3045690307","https://openalex.org/W3081028519","https://openalex.org/W3098698120","https://openalex.org/W3098788150","https://openalex.org/W3100513551","https://openalex.org/W3103470934","https://openalex.org/W3135158448","https://openalex.org/W3135849581","https://openalex.org/W3163555844","https://openalex.org/W3197526462","https://openalex.org/W4293078920"],"related_works":["https://openalex.org/W4323768008","https://openalex.org/W1941703695","https://openalex.org/W3131574667","https://openalex.org/W4360995134","https://openalex.org/W4248382324","https://openalex.org/W3023605104","https://openalex.org/W2039473718","https://openalex.org/W2387529410","https://openalex.org/W2383578611","https://openalex.org/W2161688277"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"investigate":[4],"a":[5,56,61],"continuous-time":[6],"distributed":[7,89,92],"optimization":[8],"problem":[9],"with":[10,129],"time-varying":[11,39,57,121],"cost":[12,40,80],"functions":[13,81],"and":[14,82,91,107],"affine":[15,58,84],"formation":[16,85],"constraints,":[17,86],"which":[18,44],"are":[19,96],"described":[20],"by":[21,47,73],"the":[22,27,35,70,74,78,87,101,109,117,130,140],"stress":[23],"matrices":[24],"rather":[25,64],"than":[26,65],"standard":[28],"Laplacians.":[29],"The":[30,52,120,151],"objective":[31],"is":[32,45,55,125,143,157],"to":[33,99,115,145],"minimize":[34],"sum":[36,111],"of":[37,43,60,77,104,112],"local":[38,79,113],"functions,":[41],"each":[42],"known":[46],"only":[48],"one":[49],"individual":[50],"agent.":[51],"optimal":[53,122],"solution":[54,105,123],"transformation":[59],"nominal":[62],"configuration":[63],"some":[66],"constants.":[67],"To":[68],"tackle":[69],"difficulty":[71],"caused":[72],"dynamic":[75],"aspect":[76],"handle":[83],"fixed-time":[88],"estimator":[90],"gradient":[93,133,154],"tracking":[94,118,134,141,155],"technique":[95],"developed,":[97],"respectively,":[98],"compensate":[100],"time":[102],"variation":[103],"trajectory":[106,124],"calculate":[108],"weighted":[110],"gradients":[114],"eliminate":[116],"error.":[119],"thus":[126],"accurately":[127],"tracked":[128],"proposed":[131,152],"estimator-based":[132,153],"algorithm.":[135],"Using":[136],"appropriately":[137],"chosen":[138],"coefficients,":[139],"error":[142],"guaranteed":[144],"vanish":[146],"at":[147],"an":[148],"exponential":[149],"rate.":[150],"algorithm":[156],"further":[158],"validated":[159],"through":[160],"numerical":[161],"simulations.":[162]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":24},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
