{"id":"https://openalex.org/W2067358022","doi":"https://doi.org/10.1080/00207720110092171","title":"Adaptive stabilization of the Kuramoto-Sivashinsky equation","display_name":"Adaptive stabilization of the Kuramoto-Sivashinsky equation","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2067358022","doi":"https://doi.org/10.1080/00207720110092171","mag":"2067358022"},"language":"en","primary_location":{"id":"doi:10.1080/00207720110092171","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720110092171","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5051964869","display_name":"Toshihiro Kobayashi","orcid":"https://orcid.org/0000-0002-7650-1763"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Toshihiro Kobayashi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5051964869"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9123,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.85197732,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"33","issue":"3","first_page":"175","last_page":"180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998999834060669,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9939000010490417,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9769999980926514,"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/mathematics","display_name":"Mathematics","score":0.6853106021881104},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6293213367462158},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.617688775062561},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.588641345500946},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5418357253074646},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5327824354171753},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.51724773645401},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.4944279193878174},{"id":"https://openalex.org/keywords/reaction\u2013diffusion-system","display_name":"Reaction\u2013diffusion system","score":0.47134917974472046},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.430624783039093},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.41009214520454407},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2622249722480774},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.25537267327308655},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.25010135769844055},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1886962652206421},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07160487771034241}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6853106021881104},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6293213367462158},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.617688775062561},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.588641345500946},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5418357253074646},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5327824354171753},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.51724773645401},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4944279193878174},{"id":"https://openalex.org/C121231716","wikidata":"https://www.wikidata.org/wiki/Q901210","display_name":"Reaction\u2013diffusion system","level":2,"score":0.47134917974472046},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.430624783039093},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.41009214520454407},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2622249722480774},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.25537267327308655},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.25010135769844055},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1886962652206421},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07160487771034241},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207720110092171","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720110092171","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1538686203","https://openalex.org/W1594759473","https://openalex.org/W1986448111","https://openalex.org/W1997841431","https://openalex.org/W2029840826","https://openalex.org/W2049967935","https://openalex.org/W2107634631","https://openalex.org/W2120599422","https://openalex.org/W2131868609","https://openalex.org/W2170544117","https://openalex.org/W2172490084","https://openalex.org/W2315237927","https://openalex.org/W4245655797"],"related_works":["https://openalex.org/W1593898832","https://openalex.org/W2756324413","https://openalex.org/W2142048021","https://openalex.org/W2134075948","https://openalex.org/W2383529437","https://openalex.org/W1790223069","https://openalex.org/W2081245100","https://openalex.org/W2034561445","https://openalex.org/W2006090893","https://openalex.org/W2029287765"],"abstract_inverted_index":{"The":[0,68],"paper":[1],"is":[2,31,74],"concerned":[3],"with":[4],"adaptive":[5,29],"stabilization":[6],"of":[7,24,36,45,59,70],"a":[8],"reaction-diffusion":[9],"system":[10,61],"governed":[11],"by":[12,33],"the":[13,22,28,34,42,46,50,53,60],"Kuramoto-Sivashinsky":[14],"equation":[15],"(a":[16],"non-linear":[17,38],"partial":[18],"differential":[19],"equation).":[20],"Under":[21],"existence":[23],"bounded":[25],"deterministic":[26],"disturbances,":[27],"stabilizer":[30],"constructed":[32],"concept":[35],"high-gain":[37],"output":[39],"feedback":[40],"and":[41,57],"estimation":[43],"mechanism":[44],"unknown":[47],"parameters.":[48],"In":[49],"control":[51],"system,":[52],"global":[54],"asymptotic":[55],"stability":[56],"convergence":[58],"state":[62],"to":[63],"zero":[64],"will":[65],"be":[66],"guaranteed.":[67],"problem":[69],"set":[71],"point":[72],"regulation":[73],"also":[75],"considered.":[76]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-24T08:02:53.985720","created_date":"2025-10-10T00:00:00"}