{"id":"https://openalex.org/W4382999134","doi":"https://doi.org/10.1109/tcsii.2023.3291728","title":"Arbitrary-Time Stable Gradient Flows Using Neurodynamic System for Continuous-Time Optimization","display_name":"Arbitrary-Time Stable Gradient Flows Using Neurodynamic System for Continuous-Time Optimization","publication_year":2023,"publication_date":"2023-07-03","ids":{"openalex":"https://openalex.org/W4382999134","doi":"https://doi.org/10.1109/tcsii.2023.3291728"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2023.3291728","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2023.3291728","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5081276827","display_name":"Hongsong Wen","orcid":"https://orcid.org/0009-0007-2599-5592"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongsong Wen","raw_affiliation_strings":["Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronics and Information Engineering, Southwest University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronics and Information Engineering, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001504963","display_name":"Xing He","orcid":"https://orcid.org/0000-0001-8652-8479"},"institutions":[{"id":"https://openalex.org/I142108993","display_name":"Southwest University","ror":"https://ror.org/01kj4z117","country_code":"CN","type":"education","lineage":["https://openalex.org/I142108993"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xing He","raw_affiliation_strings":["Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronics and Information Engineering, Southwest University, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronics and Information Engineering, Southwest University, Chongqing, China","institution_ids":["https://openalex.org/I142108993"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081276827"],"corresponding_institution_ids":["https://openalex.org/I142108993"],"apc_list":null,"apc_paid":null,"fwci":0.7504,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70474018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"70","issue":"12","first_page":"4559","last_page":"4563"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9997000098228455,"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":0.9997000098228455,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.9944000244140625,"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":0.9941999912261963,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/balanced-flow","display_name":"Balanced flow","score":0.64287269115448},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.5960798263549805},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5721102952957153},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5666518807411194},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5466771721839905},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4988267421722412},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.48108765482902527},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.43986812233924866},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.4165143370628357},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41640377044677734},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.3602356016635895},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3281424641609192},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23791968822479248},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.2170717716217041},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15276604890823364},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1299779713153839},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10999709367752075},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09554615616798401},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08968502283096313}],"concepts":[{"id":"https://openalex.org/C167879884","wikidata":"https://www.wikidata.org/wiki/Q727568","display_name":"Balanced flow","level":2,"score":0.64287269115448},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.5960798263549805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5721102952957153},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5666518807411194},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5466771721839905},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4988267421722412},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.48108765482902527},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.43986812233924866},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.4165143370628357},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41640377044677734},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.3602356016635895},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3281424641609192},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23791968822479248},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.2170717716217041},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15276604890823364},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1299779713153839},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10999709367752075},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09554615616798401},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08968502283096313},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2023.3291728","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2023.3291728","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3361839962","display_name":null,"funder_award_id":"XDJK2020TY003","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6741639725","display_name":null,"funder_award_id":"62176218","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":24,"referenced_works":["https://openalex.org/W1988837728","https://openalex.org/W2006764749","https://openalex.org/W2015113370","https://openalex.org/W2065018573","https://openalex.org/W2284760372","https://openalex.org/W2742470390","https://openalex.org/W2936870882","https://openalex.org/W2963430672","https://openalex.org/W2990668594","https://openalex.org/W3035066789","https://openalex.org/W3129321953","https://openalex.org/W3166789571","https://openalex.org/W3174814448","https://openalex.org/W3216092657","https://openalex.org/W3216573750","https://openalex.org/W4226037386","https://openalex.org/W4281728993","https://openalex.org/W4293531176","https://openalex.org/W4312725044","https://openalex.org/W4317513330","https://openalex.org/W4323519609","https://openalex.org/W4328099288","https://openalex.org/W4379116741","https://openalex.org/W6727883105"],"related_works":["https://openalex.org/W2356977358","https://openalex.org/W3199158697","https://openalex.org/W263682811","https://openalex.org/W2005717169","https://openalex.org/W4291138102","https://openalex.org/W4319027779","https://openalex.org/W3174270087","https://openalex.org/W2382015157","https://openalex.org/W2375129592","https://openalex.org/W2183734858"],"abstract_inverted_index":{"In":[0,21,73],"this":[1],"brief,":[2],"two":[3],"arbitrary-time":[4,35],"stable":[5],"gradient":[6,26,31,45,80],"flows":[7,32,46,81],"are":[8],"proposed":[9,30,44,79],"to":[10,23,48,68],"solve":[11],"the":[12,24,29,34,43,49,52,70,75,78],"continuous-time":[13],"optimization":[14,53],"problems":[15],"based":[16],"on":[17],"nonlinear":[18],"neurodynamic":[19],"system.":[20],"contrast":[22],"conventional":[25],"flow":[27],"methods,":[28],"adopt":[33],"sliding":[36],"mode":[37],"controller.":[38],"It":[39],"is":[40,66,82],"shown":[41],"that":[42],"converge":[47],"solution":[50],"of":[51,77],"problem":[54],"in":[55],"arbitrary":[56],"time":[57],"under":[58],"certain":[59],"mild":[60],"conditions.":[61],"Finally,":[62],"a":[63],"numerical":[64],"example":[65],"given":[67],"verify":[69],"main":[71],"results.":[72],"addition,":[74],"effectiveness":[76],"further":[83],"verified":[84],"by":[85],"FPGA":[86],"hardware":[87],"implementation.":[88]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
