{"id":"https://openalex.org/W2113983326","doi":"https://doi.org/10.1109/acc.2008.4586728","title":"Stochastic stability for discrete-time singular systems with Markov jump parameters","display_name":"Stochastic stability for discrete-time singular systems with Markov jump parameters","publication_year":2008,"publication_date":"2008-06-01","ids":{"openalex":"https://openalex.org/W2113983326","doi":"https://doi.org/10.1109/acc.2008.4586728","mag":"2113983326"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2008.4586728","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2008.4586728","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 American 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":null,"display_name":"A. L. P. Manfrim","orcid":null},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"A. L. P. Manfrim","raw_affiliation_strings":["Department of Electrical Engineering, University of S\u00e3o Paulo, Sao Paulo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of S\u00e3o Paulo, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":null,"display_name":"M. H. Terra","orcid":null},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"M. H. Terra","raw_affiliation_strings":["Department of Electrical Engineering, University of S\u00e3o Paulo, Sao Paulo, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of S\u00e3o Paulo, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047167568","display_name":"Eduardo F. Costa","orcid":"https://orcid.org/0000-0002-9067-9234"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]},{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["BR","GB"],"is_corresponding":false,"raw_author_name":"E. F. Costa","raw_affiliation_strings":["Departmento. de Matem\u00e1tica Aplicada e Estat\u00edstica, Universidade de S\u00e1o Paulo, Sao Paulo, Brazil","Electrical and Electronic Engineering Department, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departmento. de Matem\u00e1tica Aplicada e Estat\u00edstica, Universidade de S\u00e1o Paulo, Sao Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Electrical and Electronic Engineering Department, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033610976","display_name":"Jo\u00e3o Y. Ishihara","orcid":"https://orcid.org/0000-0002-5916-0207"},"institutions":[{"id":"https://openalex.org/I150729083","display_name":"Universidade de Bras\u00edlia","ror":"https://ror.org/02xfp8v59","country_code":"BR","type":"education","lineage":["https://openalex.org/I150729083"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"J. Y. Ishihara","raw_affiliation_strings":["Department of Electrical Engineering, University of Bras\u00edlia-UnB, Brasilia, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Bras\u00edlia-UnB, Brasilia, Brazil","institution_ids":["https://openalex.org/I150729083"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1677,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74665043,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":null,"first_page":"1650","last_page":"1655"},"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":0.9998999834060669,"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/T10046","display_name":"Stability and Control of Uncertain Systems","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/T12772","display_name":"Control and Stability of Dynamical 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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6610236167907715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5962194204330444},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5954707264900208},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5753976702690125},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5748677253723145},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5563899278640747},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5451149940490723},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.5135707855224609},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.5052891373634338},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4499474763870239},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3723251223564148},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3222801685333252},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08996120095252991},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05725884437561035},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04862391948699951}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6610236167907715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5962194204330444},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5954707264900208},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5753976702690125},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5748677253723145},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5563899278640747},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5451149940490723},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.5135707855224609},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.5052891373634338},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4499474763870239},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3723251223564148},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3222801685333252},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08996120095252991},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05725884437561035},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04862391948699951},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2008.4586728","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2008.4586728","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 American 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":21,"referenced_works":["https://openalex.org/W1489051611","https://openalex.org/W1490978409","https://openalex.org/W1506739583","https://openalex.org/W1539457026","https://openalex.org/W1911113930","https://openalex.org/W1981270053","https://openalex.org/W1984915782","https://openalex.org/W1996530274","https://openalex.org/W2004151439","https://openalex.org/W2011237004","https://openalex.org/W2036542282","https://openalex.org/W2042337741","https://openalex.org/W2056690083","https://openalex.org/W2086756762","https://openalex.org/W2101335914","https://openalex.org/W2122927767","https://openalex.org/W2137960819","https://openalex.org/W2138916367","https://openalex.org/W2139204365","https://openalex.org/W4210661935","https://openalex.org/W6680691358"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W2030955003","https://openalex.org/W2374426356","https://openalex.org/W2059628530","https://openalex.org/W2164487476","https://openalex.org/W3194517843","https://openalex.org/W1977987201","https://openalex.org/W2106169668","https://openalex.org/W3102460617"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"stochastic":[3,34],"stability":[4],"for":[5,33,38],"discrete-time":[6],"singular":[7],"systems":[8],"with":[9],"Markov":[10],"jump":[11],"parameters":[12],"is":[13,43,57],"addressed.":[14],"We":[15],"present":[16],"a":[17,28],"set":[18],"of":[19,49],"coupled":[20],"generalised":[21],"Lyapunov":[22,52],"equations":[23],"(CGLEs)":[24],"that":[25],"serves":[26],"as":[27],"necessary":[29],"and":[30],"sufficient":[31],"condition":[32],"stability.":[35],"A":[36],"method":[37],"solving":[39],"the":[40],"obtained":[41],"CGLEs":[42],"also":[44],"presented,":[45],"based":[46],"on":[47],"iterations":[48],"usual":[50],"descriptor":[51],"equations.":[53],"An":[54],"illustrative":[55],"example":[56],"included.":[58]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
