{"id":"https://openalex.org/W4214869306","doi":"https://doi.org/10.1109/tnnls.2022.3149894","title":"Finite-Time Stability Control of Uncertain Nonlinear Systems With Self-Limiting Control Terms","display_name":"Finite-Time Stability Control of Uncertain Nonlinear Systems With Self-Limiting Control Terms","publication_year":2022,"publication_date":"2022-03-02","ids":{"openalex":"https://openalex.org/W4214869306","doi":"https://doi.org/10.1109/tnnls.2022.3149894","pmid":"https://pubmed.ncbi.nlm.nih.gov/35235522"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2022.3149894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3149894","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jiaming Zhu","orcid":"https://orcid.org/0000-0002-6261-5612"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiaming Zhu","raw_affiliation_strings":["College of Information Engineering, Yangzhou University, Yangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-6261-5612","affiliations":[{"raw_affiliation_string":"College of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yuequan Yang","orcid":"https://orcid.org/0000-0001-7851-9230"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuequan Yang","raw_affiliation_strings":["College of Information Engineering, Yangzhou University, Yangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-7851-9230","affiliations":[{"raw_affiliation_string":"College of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Tianping Zhang","orcid":"https://orcid.org/0000-0002-7796-7004"},"institutions":[{"id":"https://openalex.org/I78978612","display_name":"Yangzhou University","ror":"https://ror.org/03tqb8s11","country_code":"CN","type":"education","lineage":["https://openalex.org/I78978612"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianping Zhang","raw_affiliation_strings":["College of Information Engineering, Yangzhou University, Yangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-7796-7004","affiliations":[{"raw_affiliation_string":"College of Information Engineering, Yangzhou University, Yangzhou, China","institution_ids":["https://openalex.org/I78978612"]}]},{"author_position":"last","author":{"id":null,"display_name":"Zhiqiang Cao","orcid":"https://orcid.org/0000-0003-1801-3363"},"institutions":[{"id":"https://openalex.org/I4210112150","display_name":"Institute of Automation","ror":"https://ror.org/022c3hy66","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210112150"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhiqiang Cao","raw_affiliation_strings":["Chinese Academy of Science, Institute of Automation, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-1801-3363","affiliations":[{"raw_affiliation_string":"Chinese Academy of Science, Institute of Automation, Beijing, China","institution_ids":["https://openalex.org/I4210112150"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1729,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.76443519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"34","issue":"11","first_page":"9514","last_page":"9519"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.6632000207901001,"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"}},"topics":[{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.6632000207901001,"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"}},{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.13490000367164612,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.022199999541044235,"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":0.7723000049591064},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5864999890327454},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.567300021648407},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5637000203132629},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5320000052452087},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.5182999968528748},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5063999891281128},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4918000102043152},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4627000093460083},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.4465000033378601}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7723000049591064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5913000106811523},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5864999890327454},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.567300021648407},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5637000203132629},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5320000052452087},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.5182999968528748},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5063999891281128},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4918000102043152},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4627000093460083},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4465000033378601},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4171999990940094},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.40400001406669617},{"id":"https://openalex.org/C94766913","wikidata":"https://www.wikidata.org/wiki/Q1530271","display_name":"Equilibrium point","level":3,"score":0.39579999446868896},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.3725000023841858},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.36660000681877136},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.35989999771118164},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.358599990606308},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.3467000126838684},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3440999984741211},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.3393000066280365},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.32589998841285706},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.30320000648498535},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.2946999967098236},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.27549999952316284},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.2750999927520752},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27399998903274536},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.2732999920845032},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.2687999904155731},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.2667999863624573},{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.25609999895095825},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2022.3149894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnnls.2022.3149894","pdf_url":null,"source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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 Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:35235522","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/35235522","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4070822091","display_name":null,"funder_award_id":"61873229","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4964504095","display_name":null,"funder_award_id":"62073283","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G849802347","display_name":null,"funder_award_id":"62073322","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W2041069066","https://openalex.org/W2138484437","https://openalex.org/W2168097327","https://openalex.org/W2474795882","https://openalex.org/W2623765583","https://openalex.org/W2624600449","https://openalex.org/W2627043435","https://openalex.org/W2650555469","https://openalex.org/W2755590954","https://openalex.org/W2766557300","https://openalex.org/W2775853648","https://openalex.org/W2779675674","https://openalex.org/W2782127155","https://openalex.org/W2790590248","https://openalex.org/W2792882341","https://openalex.org/W2792967019","https://openalex.org/W2804251482","https://openalex.org/W2810135222","https://openalex.org/W2811371637","https://openalex.org/W2887191391","https://openalex.org/W2888348060","https://openalex.org/W2892281448","https://openalex.org/W2904316432","https://openalex.org/W2906244940","https://openalex.org/W2906995901","https://openalex.org/W2910716906","https://openalex.org/W2913093499","https://openalex.org/W2913466073","https://openalex.org/W2922081326","https://openalex.org/W2942510244","https://openalex.org/W2944972447","https://openalex.org/W2972069137","https://openalex.org/W3023665282","https://openalex.org/W3046489965","https://openalex.org/W3193356319","https://openalex.org/W6715544380","https://openalex.org/W6735111427","https://openalex.org/W6739288422","https://openalex.org/W6794103915"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"brief,":[2],"we":[3,20],"define":[4],"a":[5,24,34,41,56,62,112,128],"self-limiting":[6,63],"control":[7,27,37,71],"term,":[8],"which":[9,39],"has":[10],"the":[11,15,51,66,69,76,79,86,99,103,107,116],"function":[12],"of":[13,17,53,55,73,78,98,115],"guaranteeing":[14],"boundedness":[16,77],"variables.":[18],"Then,":[19],"apply":[21],"it":[22],"to":[23,65,111],"finite-time":[25,35],"stability":[26],"problem.":[28],"For":[29],"nonstrict":[30],"feedback":[31],"nonlinear":[32],"systems,":[33],"adaptive":[36],"scheme,":[38],"contains":[40],"piecewise":[42],"differentiable":[43],"function,":[44],"is":[45,83],"proposed.":[46],"This":[47],"scheme":[48],"can":[49],"eliminate":[50],"singularity":[52],"derivative":[54],"fractional":[57],"exponential":[58],"function.":[59],"By":[60],"adding":[61],"term":[64],"controller":[67],"and":[68,106],"virtual":[70],"law":[72],"each":[74],"subsystem,":[75],"overall":[80],"system":[81,101],"state":[82],"guaranteed.":[84],"Then":[85],"unknown":[87],"continuous":[88],"functions":[89],"are":[90,125],"estimated":[91],"by":[92,127],"neural":[93],"networks":[94],"(NNs).":[95],"The":[96,122],"output":[97],"closed-loop":[100],"tracks":[102],"desired":[104],"trajectory,":[105],"tracking":[108],"error":[109],"converges":[110],"small":[113],"neighborhood":[114],"equilibrium":[117],"point":[118],"in":[119],"finite":[120],"time.":[121],"theoretical":[123],"results":[124],"illustrated":[126],"simulation":[129],"example.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-03-05T00:00:00"}