{"id":"https://openalex.org/W3126626745","doi":"https://doi.org/10.1109/tac.2021.3057990","title":"Unified Stability Analysis for It\u00f4 Stochastic Systems: From Almost Surely Asymptotic to Finite-Time Convergence","display_name":"Unified Stability Analysis for It\u00f4 Stochastic Systems: From Almost Surely Asymptotic to Finite-Time Convergence","publication_year":2021,"publication_date":"2021-02-10","ids":{"openalex":"https://openalex.org/W3126626745","doi":"https://doi.org/10.1109/tac.2021.3057990","mag":"3126626745"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3057990","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3057990","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5041301168","display_name":"Shixian Luo","orcid":"https://orcid.org/0000-0003-1538-0950"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Shixian Luo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063134490","display_name":"Feiqi Deng","orcid":"https://orcid.org/0000-0002-0257-5647"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Feiqi Deng","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5070195520","display_name":"Xinghuo Yu","orcid":"https://orcid.org/0000-0001-8093-9787"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xinghuo Yu","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5041301168"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.0213,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.91142019,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"67","issue":"1","first_page":"406","last_page":"412"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9991000294685364,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7148287296295166},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6870371103286743},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6131353974342346},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5732141733169556},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5591017603874207},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4893914759159088},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4759131073951721},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.44433093070983887},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4229549765586853},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3696034550666809},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.253680944442749},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17073386907577515},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13941732048988342}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7148287296295166},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6870371103286743},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6131353974342346},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5732141733169556},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5591017603874207},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4893914759159088},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4759131073951721},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.44433093070983887},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4229549765586853},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3696034550666809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.253680944442749},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17073386907577515},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13941732048988342},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2021.3057990","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3057990","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:alma61RMIT.INST:11288478770001341","is_oa":false,"landing_page_url":"https://doi.org/10.1109/TAC.2021.3057990","pdf_url":null,"source":{"id":"https://openalex.org/S4306402074","display_name":"RMIT Research Repository (RMIT University Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82951845","host_organization_name":"RMIT University","host_organization_lineage":["https://openalex.org/I82951845"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1317664155","display_name":null,"funder_award_id":"201806150120","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G2461175089","display_name":null,"funder_award_id":"61873099","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4673501982","display_name":null,"funder_award_id":"62003104","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7983794113","display_name":null,"funder_award_id":"61733008","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/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1494628843","https://openalex.org/W1579485993","https://openalex.org/W2000149165","https://openalex.org/W2000349976","https://openalex.org/W2015126358","https://openalex.org/W2015374326","https://openalex.org/W2029210140","https://openalex.org/W2029946328","https://openalex.org/W2039669896","https://openalex.org/W2048822460","https://openalex.org/W2067809384","https://openalex.org/W2129801286","https://openalex.org/W2134799554","https://openalex.org/W2198058422","https://openalex.org/W2309350575","https://openalex.org/W2489122898","https://openalex.org/W2520851130","https://openalex.org/W2594267261","https://openalex.org/W2604018450","https://openalex.org/W2613286333","https://openalex.org/W2791423001","https://openalex.org/W2792581787","https://openalex.org/W2794408721","https://openalex.org/W2801673173","https://openalex.org/W2895623156","https://openalex.org/W2910477251"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W4297791327","https://openalex.org/W2897842840","https://openalex.org/W2911623553","https://openalex.org/W2397777611","https://openalex.org/W1502031429","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"This":[0],"technical":[1],"note":[2],"proposes":[3],"a":[4],"unified":[5],"Lyapunov":[6],"framework":[7],"for":[8,16],"analyzing":[9],"the":[10,23,27,30,34,44,47,53,62,71,76,81,85,89,101,106],"stochastic":[11,18,57],"asymptotic":[12,72],"and":[13,29,80,105],"finite-time":[14,45,64],"convergence/stability":[15,39],"Ito":[17],"nonlinear":[19],"systems.":[20],"By":[21],"exploring":[22],"coupling":[24],"effect":[25,55],"between":[26],"drift":[28],"diffusion":[31],"parts":[32],"of":[33,56,84],"system,":[35],"novel":[36],"almost":[37],"sure":[38],"criteria":[40,49,66],"are":[41,96],"established.":[42],"For":[43,70],"case,":[46,73],"stability":[48,65],"not":[50],"only":[51],"capture":[52],"stabilizing":[54],"noise":[58],"but":[59],"also":[60],"include":[61],"existing":[63,90],"as":[67],"special":[68],"cases.":[69],"it":[74],"removes":[75],"local":[77],"Lipschitz":[78],"conditions":[79],"non-zero":[82],"property":[83],"solution":[86],"demanded":[87],"by":[88],"results.":[91],"The":[92],"proposed":[93],"theoretical":[94],"results":[95],"further":[97],"applied":[98],"to":[99],"solve":[100],"sliding":[102],"mode":[103],"control":[104],"optimal":[107],"finite-time/asymptotic":[108],"stabilization":[109],"problems.":[110]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}