{"id":"https://openalex.org/W3120598610","doi":"https://doi.org/10.1137/19m1291479","title":"Lyapunov Density Criteria for Time-Varying and Periodically Time-Varying Nonlinear Systems with Converse Results","display_name":"Lyapunov Density Criteria for Time-Varying and Periodically Time-Varying Nonlinear Systems with Converse Results","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3120598610","doi":"https://doi.org/10.1137/19m1291479","mag":"3120598610"},"language":"en","primary_location":{"id":"doi:10.1137/19m1291479","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1291479","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://da.lib.kobe-u.ac.jp/da/kernel/90009528/90009528.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5077788540","display_name":"Izumi Masubuchi","orcid":"https://orcid.org/0000-0003-1659-5136"},"institutions":[{"id":"https://openalex.org/I65837984","display_name":"Kobe University","ror":"https://ror.org/03tgsfw79","country_code":"JP","type":"education","lineage":["https://openalex.org/I65837984"]},{"id":"https://openalex.org/I84776176","display_name":"Shimadzu (Japan)","ror":"https://ror.org/03k8der79","country_code":"JP","type":"company","lineage":["https://openalex.org/I84776176"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Izumi Masubuchi","raw_affiliation_strings":["Department of Applied Mathematics, Graduate School of System Infor-matics, Kobe University, Kobe, 657-8501, Japan","Shimazu Corporation, Kyoto, 604-8511, Japan","\\ddagger Graduate School of System Informatics, Kobe University, Kobe, 657-8501, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Graduate School of System Infor-matics, Kobe University, Kobe, 657-8501, Japan","institution_ids":["https://openalex.org/I65837984"]},{"raw_affiliation_string":"Shimazu Corporation, Kyoto, 604-8511, Japan","institution_ids":["https://openalex.org/I84776176"]},{"raw_affiliation_string":"\\ddagger Graduate School of System Informatics, Kobe University, Kobe, 657-8501, Japan","institution_ids":["https://openalex.org/I65837984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008901590","display_name":"Takahiro Kikuchi","orcid":"https://orcid.org/0000-0002-2299-3221"},"institutions":[{"id":"https://openalex.org/I65837984","display_name":"Kobe University","ror":"https://ror.org/03tgsfw79","country_code":"JP","type":"education","lineage":["https://openalex.org/I65837984"]},{"id":"https://openalex.org/I84776176","display_name":"Shimadzu (Japan)","ror":"https://ror.org/03k8der79","country_code":"JP","type":"company","lineage":["https://openalex.org/I84776176"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takahiro Kikuchi","raw_affiliation_strings":["Department of Applied Mathematics, Graduate School of System Infor-matics, Kobe University, Kobe, 657-8501, Japan","Shimazu Corporation, Kyoto, 604-8511, Japan","\\ddagger Graduate School of System Informatics, Kobe University, Kobe, 657-8501, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Graduate School of System Infor-matics, Kobe University, Kobe, 657-8501, Japan","institution_ids":["https://openalex.org/I65837984"]},{"raw_affiliation_string":"Shimazu Corporation, Kyoto, 604-8511, Japan","institution_ids":["https://openalex.org/I84776176"]},{"raw_affiliation_string":"\\ddagger Graduate School of System Informatics, Kobe University, Kobe, 657-8501, Japan","institution_ids":["https://openalex.org/I65837984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3259,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.5149318,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"59","issue":"1","first_page":"223","last_page":"241"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9993000030517578,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9993000030517578,"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":0.9975000023841858,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9973000288009644,"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/mathematics","display_name":"Mathematics","score":0.8328944444656372},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.7261131405830383},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7119676470756531},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5871855020523071},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5777389407157898},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.4608449935913086},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.45698264241218567},{"id":"https://openalex.org/keywords/circle-criterion","display_name":"Circle criterion","score":0.45669442415237427},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.445026159286499},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4378810226917267},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.43204888701438904},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09698379039764404},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07858556509017944}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8328944444656372},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.7261131405830383},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7119676470756531},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5871855020523071},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5777389407157898},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4608449935913086},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.45698264241218567},{"id":"https://openalex.org/C65521940","wikidata":"https://www.wikidata.org/wiki/Q5121443","display_name":"Circle criterion","level":4,"score":0.45669442415237427},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.445026159286499},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4378810226917267},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.43204888701438904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09698379039764404},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07858556509017944},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/19m1291479","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1291479","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:infocom.co.jp:G0000003oai:90009528","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S7407053249","display_name":"Infolib","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"},{"id":"pmh:oai:irdb.nii.ac.jp:01257:0005620042","is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.14094/90009528","pdf_url":"https://da.lib.kobe-u.ac.jp/da/kernel/90009528/90009528.pdf","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal article"}],"best_oa_location":{"id":"pmh:oai:irdb.nii.ac.jp:01257:0005620042","is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.14094/90009528","pdf_url":"https://da.lib.kobe-u.ac.jp/da/kernel/90009528/90009528.pdf","source":{"id":"https://openalex.org/S7407056385","display_name":"Institutional Repositories DataBase (IRDB)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I184597095","host_organization_name":"National Institute of Informatics","host_organization_lineage":["https://openalex.org/I184597095"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1109039118","display_name":"Deepening improvement of mathematical approach to nonlinear robust control theory","funder_award_id":"18K04204","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3120598610.pdf","grobid_xml":"https://content.openalex.org/works/W3120598610.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1541700568","https://openalex.org/W1968819902","https://openalex.org/W1990336165","https://openalex.org/W1998433615","https://openalex.org/W2045938917","https://openalex.org/W2056751949","https://openalex.org/W2069876442","https://openalex.org/W2073075164","https://openalex.org/W2115805176","https://openalex.org/W2133330157","https://openalex.org/W2152855691","https://openalex.org/W2154493443","https://openalex.org/W2170665905","https://openalex.org/W2171203976","https://openalex.org/W2172140892"],"related_works":["https://openalex.org/W2387449261","https://openalex.org/W2418518962","https://openalex.org/W1979419366","https://openalex.org/W1983507234","https://openalex.org/W2168383058","https://openalex.org/W2164703465","https://openalex.org/W2143247663","https://openalex.org/W1864017312","https://openalex.org/W2050693590","https://openalex.org/W4362708037"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"criteria":[3],"for":[4,53,65],"the":[5,58,73,77],"convergence":[6],"of":[7,9,15,29,60,76],"trajectories":[8],"time-varying":[10,35,39,55,69],"nonlinear":[11,36,70],"systems":[12,40,71],"in":[13,44],"terms":[14],"Lyapunov":[16,61],"densities.":[17],"The":[18],"results":[19],"are":[20,41],"provided":[21],"without":[22],"assuming":[23],"local":[24],"stability":[25,75],"and":[26,67],"forward":[27],"completeness":[28],"trajectories.":[30],"As":[31],"well":[32],"as":[33],"general":[34,66],"systems,":[37],"periodically":[38,54],"also":[42],"considered":[43],"this":[45],"paper,":[46],"where":[47],"a":[48],"weaker":[49],"criterion":[50],"is":[51,63],"proposed":[52],"systems.":[56],"Also":[57],"existence":[59],"densities":[62],"proved":[64],"periodic":[68],"under":[72],"asymptotic":[74],"equilibrium.":[78]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
