{"id":"https://openalex.org/W4383427999","doi":"https://doi.org/10.1109/tsmc.2023.3285757","title":"A Novel Solution to the Time-Varying Lyapunov Equation: The Integral Dynamic Learning Network","display_name":"A Novel Solution to the Time-Varying Lyapunov Equation: The Integral Dynamic Learning Network","publication_year":2023,"publication_date":"2023-07-06","ids":{"openalex":"https://openalex.org/W4383427999","doi":"https://doi.org/10.1109/tsmc.2023.3285757"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2023.3285757","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2023.3285757","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: 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/A5100388920","display_name":"Zhijun Zhang","orcid":"https://orcid.org/0000-0002-6859-3426"},"institutions":[{"id":"https://openalex.org/I4210128140","display_name":"Guangdong University of Petrochemical Technology","ror":"https://ror.org/030ffke25","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210128140"]},{"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":"Zhijun Zhang","raw_affiliation_strings":["School of Automation Science and Engineering, South China University of Technology, Guangzhou, China","School of Automation, Guangdong University of Petrochemical Technology, Maoming, China","Guangdong Artificial Intelligence and Digital Economy Laboratory, Pazhou Lab, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-6859-3426","affiliations":[{"raw_affiliation_string":"School of Automation Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"School of Automation, Guangdong University of Petrochemical Technology, Maoming, China","institution_ids":["https://openalex.org/I4210128140"]},{"raw_affiliation_string":"Guangdong Artificial Intelligence and Digital Economy Laboratory, Pazhou Lab, Guangzhou, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086760551","display_name":"Lihang Ye","orcid":"https://orcid.org/0000-0003-3942-0283"},"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":"Lihang Ye","raw_affiliation_strings":["School of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-3942-0283","affiliations":[{"raw_affiliation_string":"School 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/A5084757180","display_name":"Lunan Zheng","orcid":"https://orcid.org/0000-0002-7671-6051"},"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":"Lunan Zheng","raw_affiliation_strings":["School of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-7671-6051","affiliations":[{"raw_affiliation_string":"School 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/A5113174926","display_name":"Yamei Luo","orcid":null},"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":"Yamei Luo","raw_affiliation_strings":["School of Automation Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School 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/A5100388920"],"corresponding_institution_ids":["https://openalex.org/I4210128140","https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":3.2378,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93451569,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"53","issue":"11","first_page":"6731","last_page":"6743"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10320","display_name":"Neural Networks and Applications","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9965000152587891,"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/activation-function","display_name":"Activation function","score":0.5591830611228943},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5438322424888611},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5214747190475464},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5018308162689209},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.496296226978302},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.45103156566619873},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.43011391162872314},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40311771631240845},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.38440582156181335},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33802613615989685},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32189494371414185},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15613368153572083},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13751313090324402},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09432744979858398}],"concepts":[{"id":"https://openalex.org/C38365724","wikidata":"https://www.wikidata.org/wiki/Q4677469","display_name":"Activation function","level":3,"score":0.5591830611228943},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5438322424888611},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5214747190475464},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5018308162689209},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.496296226978302},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.45103156566619873},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.43011391162872314},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40311771631240845},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.38440582156181335},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33802613615989685},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32189494371414185},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15613368153572083},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13751313090324402},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09432744979858398},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2023.3285757","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2023.3285757","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1025339642","display_name":null,"funder_award_id":"2020B1515120047","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"},{"id":"https://openalex.org/G1287581127","display_name":null,"funder_award_id":"1414060000024","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G1493242552","display_name":null,"funder_award_id":"2017YFB1002505","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G4197688925","display_name":null,"funder_award_id":"61976096","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},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1565761319","https://openalex.org/W1976220104","https://openalex.org/W2003162446","https://openalex.org/W2010194391","https://openalex.org/W2022282981","https://openalex.org/W2032038095","https://openalex.org/W2036191408","https://openalex.org/W2048980937","https://openalex.org/W2049852972","https://openalex.org/W2074678431","https://openalex.org/W2100940538","https://openalex.org/W2117082743","https://openalex.org/W2122707180","https://openalex.org/W2134098780","https://openalex.org/W2135780304","https://openalex.org/W2138844572","https://openalex.org/W2154410492","https://openalex.org/W2159348300","https://openalex.org/W2288474197","https://openalex.org/W2497392267","https://openalex.org/W2605564896","https://openalex.org/W2767834527","https://openalex.org/W2793385455","https://openalex.org/W2799907648","https://openalex.org/W2891576042","https://openalex.org/W2915648089","https://openalex.org/W2928853519","https://openalex.org/W2972178360","https://openalex.org/W2973547746","https://openalex.org/W2974951709","https://openalex.org/W3010178752","https://openalex.org/W3111481429","https://openalex.org/W3129982515","https://openalex.org/W3133500041","https://openalex.org/W3157496423","https://openalex.org/W3198721837","https://openalex.org/W3209539766","https://openalex.org/W4220693981","https://openalex.org/W4220823439","https://openalex.org/W4237390391","https://openalex.org/W6751271883"],"related_works":["https://openalex.org/W3110577345","https://openalex.org/W4380682190","https://openalex.org/W4315701745","https://openalex.org/W2946235959","https://openalex.org/W1990290471","https://openalex.org/W2902935192","https://openalex.org/W3134817226","https://openalex.org/W2945307361","https://openalex.org/W4376632866","https://openalex.org/W3112352841"],"abstract_inverted_index":{"In":[0,134],"this":[1],"article,":[2],"a":[3,18,26,33,80,84,121,180],"novel":[4,81,141],"approach":[5],"of":[6,109,112,123,160,176],"utilizing":[7],"an":[8,51,57],"integral":[9,52],"dynamic":[10,54],"learning":[11],"network":[12],"(IDLN)":[13],"is":[14,29,41,62,65,88],"presented":[15],"for":[16,136],"addressing":[17],"general":[19],"time-varying":[20,93],"Lyapunov":[21],"matrix":[22],"equation":[23,55],"(TVLME).":[24],"First,":[25],"cost":[27,45],"function":[28,46,60,74],"defined":[30],"by":[31,166],"designing":[32],"variable":[34],"unbounded":[35],"vector/matrix-type":[36],"error":[37,73],"function.":[38],"The":[39,96,155],"goal":[40],"to":[42,48,69,77,90,102,151,173],"make":[43],"the":[44,72,92,110,140,152,161,171,174],"approximate":[47],"zero.":[49,78],"Second,":[50],"neural":[53],"with":[56,83,99,105],"odd":[58],"activation":[59,145],"that":[61,71],"monotonically":[63],"increasing":[64],"designed":[66,148],"and":[67,126,143,149,158,170],"applied":[68],"guarantee":[70],"can":[75,114],"converge":[76],"Third,":[79],"IDLN":[82,98,163],"recurrent":[85],"topological":[86],"structure":[87],"exploited":[89],"find":[91],"theoretical":[94],"solution.":[95],"proposed":[97,153,162],"strong":[100],"robustness":[101],"bounded":[103],"noise":[104],"unknown":[106],"amplitude":[107],"regardless":[108],"value":[111],"hyperparameters,":[113],"be":[115],"implemented":[116],"through":[117],"electronic":[118],"circuits":[119],"as":[120],"method":[122],"parallel":[124],"computing":[125],"achieve":[127],"global":[128],"convergence":[129,138],"from":[130],"any":[131],"initial":[132],"state.":[133],"addition,":[135],"better":[137],"rates,":[139],"linear-arcsine-type":[142],"softsign-arcsine-type":[144],"functions":[146],"are":[147,164],"utilized":[150],"IDLN.":[154],"effectiveness,":[156],"stability,":[157],"practicability":[159],"verified":[165],"comparative":[167],"computer":[168],"simulations":[169],"application":[172],"analysis":[175],"voltage":[177],"stability":[178],"in":[179],"single-machine":[181],"infinite":[182],"bus":[183],"system.":[184]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}