{"id":"https://openalex.org/W4313022716","doi":"https://doi.org/10.1109/tcns.2022.3210295","title":"Fault-Tolerant Control of Swarm Deployment: A PDE Approach","display_name":"Fault-Tolerant Control of Swarm Deployment: A PDE Approach","publication_year":2022,"publication_date":"2022-09-28","ids":{"openalex":"https://openalex.org/W4313022716","doi":"https://doi.org/10.1109/tcns.2022.3210295"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2022.3210295","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2022.3210295","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/A5090641910","display_name":"Yacun Guan","orcid":"https://orcid.org/0000-0003-0004-7645"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yacun Guan","raw_affiliation_strings":["College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-0004-7645","affiliations":[{"raw_affiliation_string":"College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101956603","display_name":"Hao Yang","orcid":"https://orcid.org/0000-0003-1914-084X"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Yang","raw_affiliation_strings":["College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-1914-084X","affiliations":[{"raw_affiliation_string":"College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Bin Jiang","orcid":"https://orcid.org/0000-0003-3458-9303"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Jiang","raw_affiliation_strings":["College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-3458-9303","affiliations":[{"raw_affiliation_string":"College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101514382","display_name":"Qiang Tang","orcid":"https://orcid.org/0000-0001-7678-636X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qiang Tang","raw_affiliation_strings":["National Key Laboratory of Science and Technology on Aircraft Control, AVIC Xian Flight Automatic Control Research Institute (Facri), Xian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Key Laboratory of Science and Technology on Aircraft Control, AVIC Xian Flight Automatic Control Research Institute (Facri), Xian, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024733802","display_name":"Xianglun Zhang","orcid":"https://orcid.org/0000-0001-9420-0289"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xianglun Zhang","raw_affiliation_strings":["National Key Laboratory of Science and Technology on Aircraft Control, AVIC Xian Flight Automatic Control Research Institute (Facri), Xian, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National Key Laboratory of Science and Technology on Aircraft Control, AVIC Xian Flight Automatic Control Research Institute (Facri), Xian, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5090641910"],"corresponding_institution_ids":["https://openalex.org/I9842412"],"apc_list":null,"apc_paid":null,"fwci":1.1414,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.79869002,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"10","issue":"2","first_page":"741","last_page":"751"},"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9972000122070312,"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/control-theory","display_name":"Control theory (sociology)","score":0.7421289086341858},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.6588887572288513},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6008010506629944},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5695587992668152},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5145196318626404},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49544990062713623},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.46656715869903564},{"id":"https://openalex.org/keywords/swarm-behaviour","display_name":"Swarm behaviour","score":0.460955411195755},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4418284595012665},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.43121272325515747},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41900381445884705},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39011523127555847},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2255057394504547},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17935052514076233},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1099250316619873},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07948827743530273}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7421289086341858},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.6588887572288513},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6008010506629944},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5695587992668152},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5145196318626404},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49544990062713623},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.46656715869903564},{"id":"https://openalex.org/C181335050","wikidata":"https://www.wikidata.org/wiki/Q14915018","display_name":"Swarm behaviour","level":2,"score":0.460955411195755},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4418284595012665},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.43121272325515747},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41900381445884705},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39011523127555847},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2255057394504547},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17935052514076233},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1099250316619873},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07948827743530273},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcns.2022.3210295","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2022.3210295","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":[],"awards":[{"id":"https://openalex.org/G2804937416","display_name":null,"funder_award_id":"62073165","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5955640847","display_name":null,"funder_award_id":"NC2020002","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8282870106","display_name":null,"funder_award_id":"62233009","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/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1995586978","https://openalex.org/W2004599787","https://openalex.org/W2005477482","https://openalex.org/W2042232446","https://openalex.org/W2099175737","https://openalex.org/W2101959500","https://openalex.org/W2107415588","https://openalex.org/W2108011767","https://openalex.org/W2116292651","https://openalex.org/W2122375213","https://openalex.org/W2123332983","https://openalex.org/W2128928412","https://openalex.org/W2137006204","https://openalex.org/W2140893684","https://openalex.org/W2192950346","https://openalex.org/W2499641798","https://openalex.org/W2601452338","https://openalex.org/W2772540151","https://openalex.org/W2883515341","https://openalex.org/W2891757672","https://openalex.org/W2907326631","https://openalex.org/W2945365722","https://openalex.org/W2978292403","https://openalex.org/W2986955434","https://openalex.org/W3007267406","https://openalex.org/W3007649046","https://openalex.org/W3146331304","https://openalex.org/W4243282334"],"related_works":["https://openalex.org/W4288714711","https://openalex.org/W3200708550","https://openalex.org/W2736680465","https://openalex.org/W2771637876","https://openalex.org/W4294093918","https://openalex.org/W4240853094","https://openalex.org/W2534107666","https://openalex.org/W2117933783","https://openalex.org/W2560479139","https://openalex.org/W2029287765"],"abstract_inverted_index":{"This":[0],"article":[1],"proposes":[2],"a":[3,32],"partial":[4,65],"differential":[5,66],"equation":[6,67],"(PDE)-based":[7],"fault-tolerant":[8],"control":[9],"method":[10],"for":[11],"the":[12,22,48,51,64,70,78,87,92,100,106,109],"swarm":[13,35],"system":[14,36,94],"where":[15],"all":[16],"agents":[17],"can":[18],"be":[19],"deployed":[20],"along":[21],"specified":[23,83],"planar":[24,72],"curves":[25],"subject":[26],"to":[27,62],"communication":[28],"link":[29],"faults.":[30],"First,":[31],"linear":[33],"parabolic":[34],"model":[37,68,81],"with":[38,82],"an":[39],"unknown":[40],"spatial-temporal":[41],"varying":[42],"parameter":[43],"is":[44,95],"established":[45],"based":[46],"on":[47],"regularity":[49],"of":[50,91,108],"fault":[52],"functions;":[53],"second,":[54],"two":[55],"Lyapunov-based":[56],"boundary":[57,84],"adaptive":[58],"controllers":[59],"are":[60,75],"designed":[61],"make":[63],"track":[69],"desired":[71],"trajectories,":[73],"that":[74],"generated":[76],"by":[77,98],"reference":[79],"dynamic":[80],"inputs;":[85],"finally,":[86],"uniformly":[88],"bounded":[89],"stability":[90],"closed-loop":[93],"rigorously":[96],"proved":[97],"using":[99],"Lyapunov":[101],"theory.":[102],"Simulation":[103],"results":[104],"show":[105],"effectiveness":[107],"proposed":[110],"method.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}