{"id":"https://openalex.org/W2053865752","doi":"https://doi.org/10.1109/cdc.2013.6760727","title":"Switched state-feedback control of discrete-time linear systems with multiplicative noises","display_name":"Switched state-feedback control of discrete-time linear systems with multiplicative noises","publication_year":2013,"publication_date":"2013-12-01","ids":{"openalex":"https://openalex.org/W2053865752","doi":"https://doi.org/10.1109/cdc.2013.6760727","mag":"2053865752"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2013.6760727","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760727","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","raw_type":"proceedings-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/A5021012069","display_name":"Carlos Alberto Cavichioli Gonzaga","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":true,"raw_author_name":"C. A. C. Gonzaga","raw_affiliation_strings":["Departamento de Engenharia de Telecomunica\u00e7\u00f5es e Controle, Escola Polit\u00e9cnica da Universidade de S\u00e3o Paulo, S\u00e3o Paulo, Brazil","Dept. de Eng. de Telecomun. e Controle, Escola Politec. da Univ. de Sao Paulo, Sao Paulo, Brazil"],"affiliations":[{"raw_affiliation_string":"Departamento de Engenharia de Telecomunica\u00e7\u00f5es e Controle, Escola Polit\u00e9cnica da Universidade de S\u00e3o Paulo, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Dept. de Eng. de Telecomun. e Controle, Escola Politec. da Univ. de Sao Paulo, Sao Paulo, Brazil","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072909119","display_name":"O.L.V. Costa","orcid":"https://orcid.org/0000-0002-0875-8698"},"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":"O. L. V. Costa","raw_affiliation_strings":["Departamento de Engenharia de Telecomunica\u00e7\u00f5es e Controle, Escola Polit\u00e9cnica da Universidade de S\u00e3o Paulo, S\u00e3o Paulo, Brazil","Dept. de Eng. de Telecomun. e Controle, Escola Politec. da Univ. de Sao Paulo, Sao Paulo, Brazil"],"affiliations":[{"raw_affiliation_string":"Departamento de Engenharia de Telecomunica\u00e7\u00f5es e Controle, Escola Polit\u00e9cnica da Universidade de S\u00e3o Paulo, S\u00e3o Paulo, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Dept. de Eng. de Telecomun. e Controle, Escola Politec. da Univ. de Sao Paulo, Sao Paulo, Brazil","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021012069"],"corresponding_institution_ids":["https://openalex.org/I17974374"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13025248,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"5327","last_page":"5332"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9761999845504761,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9757999777793884,"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/control-theory","display_name":"Control theory (sociology)","score":0.7499154806137085},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6069765090942383},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.582250714302063},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5818832516670227},{"id":"https://openalex.org/keywords/multiplicative-noise","display_name":"Multiplicative noise","score":0.576231837272644},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5602331161499023},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5041624307632446},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.49903178215026855},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4893595576286316},{"id":"https://openalex.org/keywords/full-state-feedback","display_name":"Full state feedback","score":0.45647743344306946},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.43938812613487244},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.43797656893730164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4237782061100006},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.414450466632843},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4115546941757202},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28859496116638184},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.2509092092514038},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15140515565872192},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.09393668174743652},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09263172745704651},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07328486442565918}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7499154806137085},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6069765090942383},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.582250714302063},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5818832516670227},{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.576231837272644},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5602331161499023},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5041624307632446},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.49903178215026855},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4893595576286316},{"id":"https://openalex.org/C204322392","wikidata":"https://www.wikidata.org/wiki/Q925922","display_name":"Full state feedback","level":3,"score":0.45647743344306946},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.43938812613487244},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.43797656893730164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4237782061100006},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.414450466632843},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4115546941757202},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28859496116638184},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.2509092092514038},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15140515565872192},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.09393668174743652},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09263172745704651},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07328486442565918},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"score":0.0},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2013.6760727","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2013.6760727","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"52nd IEEE Conference on Decision and Control","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":34,"referenced_works":["https://openalex.org/W1523232788","https://openalex.org/W1552094772","https://openalex.org/W1567860938","https://openalex.org/W1853375248","https://openalex.org/W1974180599","https://openalex.org/W1981238536","https://openalex.org/W1983225368","https://openalex.org/W1995063858","https://openalex.org/W1996731752","https://openalex.org/W1996952488","https://openalex.org/W2022654325","https://openalex.org/W2027248531","https://openalex.org/W2040759244","https://openalex.org/W2046921524","https://openalex.org/W2048254210","https://openalex.org/W2066213880","https://openalex.org/W2072287534","https://openalex.org/W2082756469","https://openalex.org/W2116680678","https://openalex.org/W2126682207","https://openalex.org/W2131072910","https://openalex.org/W2143566652","https://openalex.org/W2147439098","https://openalex.org/W2156153829","https://openalex.org/W2158390506","https://openalex.org/W2164154633","https://openalex.org/W2165676571","https://openalex.org/W2176146775","https://openalex.org/W2189676364","https://openalex.org/W2598245987","https://openalex.org/W2997572556","https://openalex.org/W3158610175","https://openalex.org/W4210618399","https://openalex.org/W6734957681"],"related_works":["https://openalex.org/W2173274883","https://openalex.org/W2072007764","https://openalex.org/W2357214268","https://openalex.org/W3121876284","https://openalex.org/W2111048679","https://openalex.org/W2213225174","https://openalex.org/W2050140468","https://openalex.org/W4241611577","https://openalex.org/W156851661","https://openalex.org/W4302305711"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"consider":[4],"the":[5,40,45,51,72,85],"switched":[6,25],"stochastic":[7,56],"control":[8,18,97],"problem":[9],"of":[10],"discrete-time":[11],"linear":[12,30,73],"systems":[13],"with":[14,28,93],"multiplicative":[15],"noises.":[16],"The":[17,69,89],"strategy":[19],"is":[20,55,62,76,82],"composed":[21],"by":[22,65],"a":[23,29,35,59,66,94],"state-feedback":[24,31,74],"component":[26],"combined":[27],"part.":[32],"We":[33],"present":[34],"sufficient":[36,80],"condition":[37,81],"to":[38],"derive":[39],"state":[41],"feedback":[42],"gains":[43],"and":[44,58],"switching":[46],"rule":[47],"jointly":[48],"so":[49],"that":[50],"closed":[52],"loop":[53],"system":[54],"stable":[57],"performance":[60],"cost":[61],"bounded":[63],"above":[64],"constant":[67],"value.":[68],"case":[70],"without":[71],"part":[75],"also":[77],"considered.":[78],"This":[79],"based":[83],"on":[84],"so-called":[86],"Lyapunov-Metzler":[87],"inequalities.":[88],"results":[90],"are":[91],"illustrated":[92],"portfolio":[95],"tracking":[96],"problem.":[98]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
