{"id":"https://openalex.org/W2125096155","doi":"https://doi.org/10.1109/cdc.2009.5400439","title":"Stabilization problems of nonlinear systems using feedback laws with Wiener processes","display_name":"Stabilization problems of nonlinear systems using feedback laws with Wiener processes","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2125096155","doi":"https://doi.org/10.1109/cdc.2009.5400439","mag":"2125096155"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2009.5400439","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400439","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","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/A5089651259","display_name":"Y\u00fbki Nishimura","orcid":"https://orcid.org/0000-0003-3665-8827"},"institutions":[{"id":"https://openalex.org/I173915773","display_name":"Yamaguchi University","ror":"https://ror.org/03cxys317","country_code":"JP","type":"education","lineage":["https://openalex.org/I173915773"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuki Nishimura","raw_affiliation_strings":["Graduate School of Science and Engineering, Yamaguchi University, Ube, Japan","Graduate School of Science and Engineering, Yamaguchi University, 2-16-1-Tokiwadai, Ube 755-0097, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Yamaguchi University, Ube, Japan","institution_ids":["https://openalex.org/I173915773"]},{"raw_affiliation_string":"Graduate School of Science and Engineering, Yamaguchi University, 2-16-1-Tokiwadai, Ube 755-0097, Japan","institution_ids":["https://openalex.org/I173915773"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015988410","display_name":"Kazuki Takehara","orcid":null},"institutions":[{"id":"https://openalex.org/I882656400","display_name":"Komatsu (Japan)","ror":"https://ror.org/03s23ay81","country_code":"JP","type":"company","lineage":["https://openalex.org/I882656400"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kazuki Takehara","raw_affiliation_strings":["Komatsu Limited, Minato, Tokyo, Japan","Komatsu Ltd., 2-3-6, Akasaka, Minato-ku, Tokyo 107-8414, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Komatsu Limited, Minato, Tokyo, Japan","institution_ids":["https://openalex.org/I882656400"]},{"raw_affiliation_string":"Komatsu Ltd., 2-3-6, Akasaka, Minato-ku, Tokyo 107-8414, Japan","institution_ids":["https://openalex.org/I882656400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054322992","display_name":"Yuh Yamashita","orcid":"https://orcid.org/0000-0001-7190-6609"},"institutions":[{"id":"https://openalex.org/I205349734","display_name":"Hokkaido University","ror":"https://ror.org/02e16g702","country_code":"JP","type":"education","lineage":["https://openalex.org/I205349734"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuh Yamashita","raw_affiliation_strings":["Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan","Graduate School of Information Science and Technology, Hokkaido University, N14W9, kita-ku, Sapporo 060-0814, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Information Science and Technology, Hokkaido University, Sapporo, Japan","institution_ids":["https://openalex.org/I205349734"]},{"raw_affiliation_string":"Graduate School of Information Science and Technology, Hokkaido University, N14W9, kita-ku, Sapporo 060-0814, Japan","institution_ids":["https://openalex.org/I205349734"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103642723","display_name":"Kanya Tanaka","orcid":null},"institutions":[{"id":"https://openalex.org/I173915773","display_name":"Yamaguchi University","ror":"https://ror.org/03cxys317","country_code":"JP","type":"education","lineage":["https://openalex.org/I173915773"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kanya Tanaka","raw_affiliation_strings":["Graduate School of Science and Engineering, Yamaguchi University, Ube, Japan","Graduate School of Science and Engineering, Yamaguchi University, 2-16-1-Tokiwadai, Ube 755-0097, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Yamaguchi University, Ube, Japan","institution_ids":["https://openalex.org/I173915773"]},{"raw_affiliation_string":"Graduate School of Science and Engineering, Yamaguchi University, 2-16-1-Tokiwadai, Ube 755-0097, Japan","institution_ids":["https://openalex.org/I173915773"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023926564","display_name":"Yuji Wakasa","orcid":"https://orcid.org/0000-0002-6586-2889"},"institutions":[{"id":"https://openalex.org/I173915773","display_name":"Yamaguchi University","ror":"https://ror.org/03cxys317","country_code":"JP","type":"education","lineage":["https://openalex.org/I173915773"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yuji Wakasa","raw_affiliation_strings":["Graduate School of Science and Engineering, Yamaguchi University, Ube, Japan","Graduate School of Science and Engineering, Yamaguchi University, 2-16-1-Tokiwadai, Ube 755-0097, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Science and Engineering, Yamaguchi University, Ube, Japan","institution_ids":["https://openalex.org/I173915773"]},{"raw_affiliation_string":"Graduate School of Science and Engineering, Yamaguchi University, 2-16-1-Tokiwadai, Ube 755-0097, Japan","institution_ids":["https://openalex.org/I173915773"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.23069465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"27","issue":null,"first_page":"7363","last_page":"7368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9995999932289124,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9995999932289124,"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":0.9846000075340271,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonholonomic-system","display_name":"Nonholonomic system","score":0.6303699016571045},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.604637861251831},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5938445925712585},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5865193605422974},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5815423727035522},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5074030756950378},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47530922293663025},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.4691578149795532},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.4427701532840729},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.44192489981651306},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4400864243507385},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4011499881744385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38304322957992554},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.3591839075088501},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.34178265929222107},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.30433738231658936},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14192184805870056},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07649487257003784},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0692649781703949}],"concepts":[{"id":"https://openalex.org/C138632511","wikidata":"https://www.wikidata.org/wiki/Q2478109","display_name":"Nonholonomic system","level":4,"score":0.6303699016571045},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.604637861251831},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5938445925712585},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5865193605422974},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5815423727035522},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5074030756950378},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47530922293663025},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.4691578149795532},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.4427701532840729},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.44192489981651306},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4400864243507385},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4011499881744385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38304322957992554},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.3591839075088501},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.34178265929222107},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30433738231658936},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14192184805870056},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07649487257003784},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0692649781703949},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","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/C19966478","wikidata":"https://www.wikidata.org/wiki/Q4810574","display_name":"Mobile robot","level":3,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2009.5400439","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2009.5400439","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W624803942","https://openalex.org/W645921674","https://openalex.org/W1489872560","https://openalex.org/W1575104486","https://openalex.org/W1579485993","https://openalex.org/W1971044547","https://openalex.org/W2010390838","https://openalex.org/W2018158078","https://openalex.org/W2018993554","https://openalex.org/W2041076275","https://openalex.org/W2080761907","https://openalex.org/W2083977787","https://openalex.org/W2104929776","https://openalex.org/W2111549913","https://openalex.org/W2140531311","https://openalex.org/W2153392494","https://openalex.org/W3186624155","https://openalex.org/W4231021340","https://openalex.org/W4235816940","https://openalex.org/W6619687778","https://openalex.org/W6629247958","https://openalex.org/W6634466728","https://openalex.org/W6642962755","https://openalex.org/W6670389714","https://openalex.org/W6682939480"],"related_works":["https://openalex.org/W2802540229","https://openalex.org/W2032198329","https://openalex.org/W1874066705","https://openalex.org/W1021426334","https://openalex.org/W2323165849","https://openalex.org/W2123897685","https://openalex.org/W2293606346","https://openalex.org/W1967307436","https://openalex.org/W4323927134","https://openalex.org/W2399970821"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3],"method":[4],"to":[5],"stabilize":[6],"the":[7,37,49,57],"origins":[8],"of":[9,59],"deterministic":[10],"dynamical":[11,26],"systems":[12,27,66],"by":[13,28,62],"state":[14,69],"feedback":[15],"control":[16,51],"laws":[17],"with":[18,67],"Wiener":[19],"processes.":[20],"First,":[21],"we":[22,35,41,55],"obtain":[23,42],"Ito-type":[24],"stochastic":[25,50],"randomizing":[29],"ordinary":[30],"differential":[31],"equation":[32],"systems.":[33,73],"Second,":[34],"design":[36],"diffusion":[38],"coefficients.":[39],"Then,":[40],"Sontag-type":[43],"global":[44],"asymptotically":[45],"stabilizers":[46],"based":[47],"on":[48],"Lyapunov":[52],"functions.":[53],"Moreover,":[54],"show":[56],"usefulness":[58],"our":[60],"results":[61],"some":[63],"examples,":[64],"i.e.,":[65],"noncontractible":[68],"spaces":[70],"and":[71],"nonholonomic":[72]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
