{"id":"https://openalex.org/W2023078034","doi":"https://doi.org/10.1137/130918241","title":"Robust Stability and Robust Stabilization of a Class of Discrete-Time Time-Varying Linear Stochastic Systems","display_name":"Robust Stability and Robust Stabilization of a Class of Discrete-Time Time-Varying Linear Stochastic Systems","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2023078034","doi":"https://doi.org/10.1137/130918241","mag":"2023078034"},"language":"en","primary_location":{"id":"doi:10.1137/130918241","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130918241","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037213683","display_name":"Samir Aberkane","orcid":"https://orcid.org/0000-0002-8657-6689"},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"CRAN","ror":"https://ror.org/022r5hc56","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210099203","https://openalex.org/I4210100260","https://openalex.org/I4210110792","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Samir Aberkane","raw_affiliation_strings":["CRAN - Centre de Recherche en Automatique de Nancy (Universit\u00e9 de Lorraine, Campus Sciences, BP 70239, 54506 Vandoeuvre-les-Nancy Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CRAN - Centre de Recherche en Automatique de Nancy (Universit\u00e9 de Lorraine, Campus Sciences, BP 70239, 54506 Vandoeuvre-les-Nancy Cedex - France)","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I90183372"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038523391","display_name":"Vasile Dr\u01cegan","orcid":"https://orcid.org/0000-0001-6617-1441"},"institutions":[{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Vasile Dragan","raw_affiliation_strings":["IMAR - Institute of Mathematics of the Romanian Academy [Bucharest] (P.O. Box 1\u2013764 014700 Bucharest Romania - Romania)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMAR - Institute of Mathematics of the Romanian Academy [Bucharest] (P.O. Box 1\u2013764 014700 Bucharest Romania - Romania)","institution_ids":["https://openalex.org/I58077936"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.813,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.86551314,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"53","issue":"1","first_page":"30","last_page":"57"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9986000061035156,"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":0.9973999857902527,"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":0.8045283555984497},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6963589191436768},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6435911655426025},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5661365985870361},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5440300703048706},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4507574439048767},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.4267342686653137},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.41971462965011597},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38392096757888794},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.15892767906188965},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1476643681526184},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13880601525306702},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12617576122283936},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11556962132453918}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8045283555984497},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6963589191436768},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6435911655426025},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5661365985870361},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5440300703048706},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4507574439048767},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.4267342686653137},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.41971462965011597},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38392096757888794},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.15892767906188965},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1476643681526184},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13880601525306702},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12617576122283936},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11556962132453918},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/130918241","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130918241","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:HAL:hal-01073313v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01073313","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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, 2015, 53 (1), pp.30-57. ⟨10.1137/130918241⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1966983059","https://openalex.org/W1994396436","https://openalex.org/W1996927847","https://openalex.org/W2033951124","https://openalex.org/W2041326027","https://openalex.org/W2046280454","https://openalex.org/W2073379063","https://openalex.org/W2088439045","https://openalex.org/W2092202825","https://openalex.org/W2092447130","https://openalex.org/W2094840849","https://openalex.org/W2107095367","https://openalex.org/W2130303604","https://openalex.org/W2142482984"],"related_works":["https://openalex.org/W2357141384","https://openalex.org/W3023620176","https://openalex.org/W2114791549","https://openalex.org/W1987193149","https://openalex.org/W2037584720","https://openalex.org/W2043705677","https://openalex.org/W3102460617","https://openalex.org/W1990502710","https://openalex.org/W2159479095","https://openalex.org/W1716629940"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,10,38],"small":[4,48],"gain":[5,49],"result":[6,33],"is":[7,34],"presented":[8],"for":[9],"class":[11,65],"of":[12,27,45,55,62,66],"discrete-time":[13],"time-varying":[14],"Markovian":[15],"jump":[16],"systems":[17,68],"with":[18],"state-dependent":[19],"and":[20,58],"input-dependent":[21],"noise.":[22],"Using":[23],"the":[24,32,46,53,63,70],"stabilizing":[25],"solutions":[26],"some":[28],"generalized":[29],"Riccati":[30],"equations,":[31],"obtained":[35],"based":[36],"on":[37],"Lyapunov":[39],"type":[40],"argument.":[41],"As":[42],"an":[43],"application":[44],"proposed":[47],"result,":[50],"we":[51],"discuss":[52],"problem":[54],"robust":[56,59],"stability":[57,71],"state-feedback":[60],"stabilization":[61],"considered":[64],"stochastic":[67],"via":[69],"radius":[72],"concept.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-27T14:10:00.468798","created_date":"2025-10-10T00:00:00"}