{"id":"https://openalex.org/W4415971168","doi":"https://doi.org/10.1109/tase.2025.3629966","title":"Adaptive Arbitrary Time Stability of a Class of Uncertain Nonlinear Systems With Applications to Inertial Neural Network Synchronization","display_name":"Adaptive Arbitrary Time Stability of a Class of Uncertain Nonlinear Systems With Applications to Inertial Neural Network Synchronization","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4415971168","doi":"https://doi.org/10.1109/tase.2025.3629966"},"language":null,"primary_location":{"id":"doi:10.1109/tase.2025.3629966","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3629966","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","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/A5100403772","display_name":"Jiacheng Li","orcid":"https://orcid.org/0000-0001-9312-4106"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiacheng Li","raw_affiliation_strings":["Department of Mathematics, Nanchang University, Nanchang, China","Department of Mathematics, Nanchang University, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanchang University, Nanchang, China","institution_ids":["https://openalex.org/I141649914"]},{"raw_affiliation_string":"Department of Mathematics, Nanchang University, P. R. China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083648528","display_name":"Runzi Luo","orcid":"https://orcid.org/0000-0001-7001-4713"},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Runzi Luo","raw_affiliation_strings":["Department of Mathematics, Nanchang University, Nanchang, China","Department of Mathematics, Nanchang University, P. R. China"],"raw_orcid":"https://orcid.org/0000-0001-7001-4713","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanchang University, Nanchang, China","institution_ids":["https://openalex.org/I141649914"]},{"raw_affiliation_string":"Department of Mathematics, Nanchang University, P. R. China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"middle","author":{"id":null,"display_name":"ZiKang Meng","orcid":null},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"ZiKang Meng","raw_affiliation_strings":["Department of Mathematics, Nanchang University, Nanchang, China","Department of Mathematics, Nanchang University, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanchang University, Nanchang, China","institution_ids":["https://openalex.org/I141649914"]},{"raw_affiliation_string":"Department of Mathematics, Nanchang University, P. R. China","institution_ids":["https://openalex.org/I141649914"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005251822","display_name":"Luxia Han","orcid":null},"institutions":[{"id":"https://openalex.org/I141649914","display_name":"Nanchang University","ror":"https://ror.org/042v6xz23","country_code":"CN","type":"education","lineage":["https://openalex.org/I141649914"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Luxia Han","raw_affiliation_strings":["Department of Mathematics, Nanchang University, Nanchang, China","Department of Mathematics, Nanchang University, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanchang University, Nanchang, China","institution_ids":["https://openalex.org/I141649914"]},{"raw_affiliation_string":"Department of Mathematics, Nanchang University, P. R. China","institution_ids":["https://openalex.org/I141649914"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I141649914"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.33300121,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":null,"first_page":"24065","last_page":"24076"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.5583999752998352,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.5583999752998352,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.13510000705718994,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.11559999734163284,"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":0.7145000100135803},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6800000071525574},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6784999966621399},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6754999756813049},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6442000269889832},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6438999772071838},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.6202999949455261},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5494999885559082}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7145000100135803},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6800000071525574},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6784999966621399},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6754999756813049},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6442000269889832},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6438999772071838},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.6202999949455261},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5494999885559082},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5421000123023987},{"id":"https://openalex.org/C173386949","wikidata":"https://www.wikidata.org/wiki/Q192735","display_name":"Inertial frame of reference","level":2,"score":0.5295000076293945},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.48579999804496765},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.3643999993801117},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.3580000102519989},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3422999978065491},{"id":"https://openalex.org/C52970973","wikidata":"https://www.wikidata.org/wiki/Q2497134","display_name":"Adaptive system","level":2,"score":0.3325999975204468},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.322299987077713},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30079999566078186},{"id":"https://openalex.org/C121047784","wikidata":"https://www.wikidata.org/wiki/Q7623607","display_name":"Strict-feedback form","level":5,"score":0.2614000141620636},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.251800000667572}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2025.3629966","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3629966","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W375697608","https://openalex.org/W1964624764","https://openalex.org/W2015113370","https://openalex.org/W2167175335","https://openalex.org/W2754212066","https://openalex.org/W2803065174","https://openalex.org/W2804382817","https://openalex.org/W2889939196","https://openalex.org/W2984771622","https://openalex.org/W2990668594","https://openalex.org/W3014409776","https://openalex.org/W3016683263","https://openalex.org/W3025752759","https://openalex.org/W3091262955","https://openalex.org/W3118097743","https://openalex.org/W3193837606","https://openalex.org/W4205423290","https://openalex.org/W4210798121","https://openalex.org/W4282930489","https://openalex.org/W4287835776","https://openalex.org/W4296914821","https://openalex.org/W4313567775","https://openalex.org/W4388181598","https://openalex.org/W4388766829","https://openalex.org/W4390546144","https://openalex.org/W4390987970","https://openalex.org/W4394908177","https://openalex.org/W4394951242","https://openalex.org/W4395699779","https://openalex.org/W4398174245","https://openalex.org/W4399908497","https://openalex.org/W4409640773"],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,67,91,103,128,138,141],"arbitrary-time":[4,21,88,104],"stabilization":[5],"problem":[6,106],"for":[7,38,90,107],"a":[8,19,25,59],"class":[9],"of":[10,140],"uncertain":[11,93],"nonlinear":[12],"systems":[13,94],"subject":[14],"to":[15,136],"exogenous":[16],"disturbances.":[17],"First,":[18],"novel":[20],"stability":[22,76,89,143],"theorem":[23],"featuring":[24],"linear":[26],"structure":[27],"(<italic":[28],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[29,34,36,40,45,49,64],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">V</i>":[30,50],"\u2264":[31],"\u2212\u00e2":[32],"<italic":[33,39,44,48,63],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">V</i>/<italic":[35],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">T\u2212t</i>":[37],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">t</i>":[41],"\u2208":[42],"[0,":[43],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">T</i>]":[46],"and":[47,62,114],"=":[51],"0":[52,57],"otherwise,":[53],"where":[54],"\u00e2":[55],">":[56],"is":[58,66,71],"design":[60],"parameter":[61,124],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">T</i>":[65],"user-prescribed":[68],"convergence":[69],"time)":[70],"established,":[72],"which":[73],"significantly":[74],"simplifies":[75],"analysis.":[77],"Building":[78],"upon":[79],"this":[80],"theoretical":[81,129],"foundation,":[82],"some":[83,131],"new":[84],"sufficient":[85],"conditions":[86],"ensuring":[87],"considered":[92],"through":[95],"Lyapunov-based":[96],"synthesis":[97],"are":[98,134],"derived.":[99],"Furthermore,":[100],"we":[101],"investigate":[102],"synchronization":[105],"inertial":[108],"neural":[109],"networks":[110],"with":[111,122],"parametric":[112],"uncertainties":[113],"disturbances":[115],"by":[116],"devising":[117],"an":[118],"adaptive":[119],"control":[120],"strategy":[121],"online":[123],"estimation.":[125],"To":[126],"substantiate":[127],"advancements":[130],"numerical":[132],"simulations":[133],"presented":[135],"demonstrate":[137],"feasibility":[139],"proposed":[142],"conditions.":[144]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-11-06T00:00:00"}
