{"id":"https://openalex.org/W1529660739","doi":"https://doi.org/10.23919/ecc.2013.6669422","title":"Scalable decay factor and ISS gain for disturbed linear polytopic discrete-time systems","display_name":"Scalable decay factor and ISS gain for disturbed linear polytopic discrete-time systems","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W1529660739","doi":"https://doi.org/10.23919/ecc.2013.6669422","mag":"1529660739"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2013.6669422","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669422","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"preprint","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/A5047914836","display_name":"Gilles Mill\u00e9rioux","orcid":"https://orcid.org/0000-0002-3536-0247"},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","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":true,"raw_author_name":"Gilles Millerioux","raw_affiliation_strings":["CRAN, Universit\u00e9 de Lorraine, France","CRAN, Univ. de Lorraine, Vandoeuvre-le\u0300s-Nancy, France"],"affiliations":[{"raw_affiliation_string":"CRAN, Universit\u00e9 de Lorraine, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I90183372"]},{"raw_affiliation_string":"CRAN, Univ. de Lorraine, Vandoeuvre-le\u0300s-Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210110792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110941908","display_name":"G\u00e9rard Bloch","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110792","display_name":"Centre de Recherche en Automatique de Nancy","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":"Gerard Bloch","raw_affiliation_strings":["CRAN, Universit\u00e9 de Lorraine, France","CRAN, Univ. de Lorraine, Vandoeuvre-le\u0300s-Nancy, France"],"affiliations":[{"raw_affiliation_string":"CRAN, Universit\u00e9 de Lorraine, France","institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I90183372"]},{"raw_affiliation_string":"CRAN, Univ. de Lorraine, Vandoeuvre-le\u0300s-Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210110792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5047914836"],"corresponding_institution_ids":["https://openalex.org/I4210110792","https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":1.018,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.79091806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3167","last_page":"3172"},"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":0.9995999932289124,"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/T10046","display_name":"Stability and Control of Uncertain Systems","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":0.9957000017166138,"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":0.9932000041007996,"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":0.7298448085784912},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6932411789894104},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6889533996582031},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5440558195114136},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48859935998916626},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4881899952888489},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4767623543739319},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.44829463958740234},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.44321373105049133},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.43636566400527954},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.4334041178226471},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.42786380648612976},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3866702914237976},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2607280910015106},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17918062210083008},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1693110167980194},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14553502202033997},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12057632207870483},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09039691090583801},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07147476077079773},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.06832516193389893},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.059020429849624634}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7298448085784912},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6932411789894104},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6889533996582031},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5440558195114136},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48859935998916626},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4881899952888489},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4767623543739319},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.44829463958740234},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.44321373105049133},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.43636566400527954},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.4334041178226471},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.42786380648612976},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3866702914237976},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2607280910015106},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17918062210083008},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1693110167980194},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14553502202033997},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12057632207870483},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09039691090583801},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07147476077079773},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.06832516193389893},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.059020429849624634},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc.2013.6669422","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2013.6669422","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1978518835","https://openalex.org/W1996952488","https://openalex.org/W2004510166","https://openalex.org/W2009340385","https://openalex.org/W2017493230","https://openalex.org/W2038137192","https://openalex.org/W2055517952","https://openalex.org/W2074642422","https://openalex.org/W2089572946","https://openalex.org/W2104281784","https://openalex.org/W2111984442","https://openalex.org/W2123966990","https://openalex.org/W2137051227","https://openalex.org/W2167486092","https://openalex.org/W2168969149","https://openalex.org/W2486863381","https://openalex.org/W2561081821","https://openalex.org/W2724150973"],"related_works":["https://openalex.org/W2389214306","https://openalex.org/W4235240664","https://openalex.org/W2965083567","https://openalex.org/W1838576100","https://openalex.org/W2095886385","https://openalex.org/W2889616422","https://openalex.org/W2089704382","https://openalex.org/W4251859918","https://openalex.org/W1554035324","https://openalex.org/W2016812753"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"Input-to-State":[3],"Stability":[4],"conditions":[5,15,63,77,95],"are":[6,64,78,113],"proposed":[7,84],"for":[8,98],"disturbed":[9],"linear":[10],"polytopic":[11,110],"discrete-time":[12],"systems.":[13],"The":[14,62,94],"allow":[16],"to":[17,59],"optimize,":[18],"independently":[19],"in":[20,66,87],"a":[21],"certain":[22],"extent,":[23],"both":[24,97],"the":[25,28,33,40,44,48,51,55,60,76,88,107],"bounds":[26],"on":[27,32],"decay":[29,41],"rate":[30],"and":[31,90],"ISS":[34,52],"gain,":[35],"two":[36],"central":[37],"quantites.":[38],"Indeed,":[39],"factor":[42],"characterizes":[43,54],"transient":[45],"behaviour":[46],"of":[47,68,109],"state":[49],"while":[50],"gain":[53],"sensitivity":[56],"with":[57],"respect":[58],"disturbances.":[61],"expressed":[65],"terms":[67],"tractable":[69],"Matrix":[70],"Inequalities.":[71],"It":[72],"is":[73],"shown":[74],"that":[75],"more":[79],"general":[80],"than":[81],"existing":[82],"ones":[83],"so":[85],"far":[86],"literature":[89],"thus":[91],"less":[92],"conservative.":[93],"hold":[96],"analysis":[99],"or":[100],"synthesis":[101],"purposes.":[102],"Two":[103],"illustrative":[104],"examples":[105],"addressing":[106],"problem":[108],"observer":[111],"design":[112],"given.":[114]},"counts_by_year":[{"year":2013,"cited_by_count":2}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}
