{"id":"https://openalex.org/W2117606776","doi":"https://doi.org/10.1177/0959651812458743","title":"<i>H</i><sub>\u221e</sub> controller design for a class of switched linear discrete-time system with polytopic uncertainties","display_name":"<i>H</i><sub>\u221e</sub> controller design for a class of switched linear discrete-time system with polytopic uncertainties","publication_year":2012,"publication_date":"2012-09-24","ids":{"openalex":"https://openalex.org/W2117606776","doi":"https://doi.org/10.1177/0959651812458743","mag":"2117606776"},"language":"en","primary_location":{"id":"doi:10.1177/0959651812458743","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651812458743","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","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/A5090573416","display_name":"Weiming Xiang","orcid":"https://orcid.org/0000-0001-9065-8428"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weiming Xiang","raw_affiliation_strings":["School of Electrical Engineering, Southwest Jiaotong University, People\u2019s Republic of China","School of Transportation and Logistics, Southwest Jiaotong University, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southwest Jiaotong University, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"School of Transportation and Logistics, Southwest Jiaotong University, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091189673","display_name":"Jian Xiao","orcid":"https://orcid.org/0000-0003-2532-9331"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Xiao","raw_affiliation_strings":["School of Electrical Engineering, Southwest Jiaotong University, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southwest Jiaotong University, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5090573416"],"corresponding_institution_ids":["https://openalex.org/I4800084"],"apc_list":null,"apc_paid":null,"fwci":2.2522,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.89662941,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"226","issue":"10","first_page":"1311","last_page":"1322"},"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/T11416","display_name":"Numerical methods for differential equations","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.9948999881744385,"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":0.7089126706123352},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7021996974945068},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5973032712936401},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5227192044258118},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46143174171447754},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4561845362186432},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.451521098613739},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4419418275356293},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4236105680465698},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.42121535539627075},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4174783527851105},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4155958890914917},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41397911310195923},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.391840398311615},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21620893478393555},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.206089586019516},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07191750407218933}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7089126706123352},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7021996974945068},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5973032712936401},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5227192044258118},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46143174171447754},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4561845362186432},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.451521098613739},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4419418275356293},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4236105680465698},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.42121535539627075},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4174783527851105},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4155958890914917},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41397911310195923},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.391840398311615},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21620893478393555},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.206089586019516},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07191750407218933},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0959651812458743","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651812458743","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","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":22,"referenced_works":["https://openalex.org/W658474564","https://openalex.org/W1552094772","https://openalex.org/W1900371862","https://openalex.org/W2013925066","https://openalex.org/W2017694829","https://openalex.org/W2037601577","https://openalex.org/W2062974796","https://openalex.org/W2077029670","https://openalex.org/W2098063526","https://openalex.org/W2103715948","https://openalex.org/W2104958104","https://openalex.org/W2116680678","https://openalex.org/W2117352590","https://openalex.org/W2118741873","https://openalex.org/W2130151927","https://openalex.org/W2132480325","https://openalex.org/W2132943141","https://openalex.org/W2139209018","https://openalex.org/W2141879820","https://openalex.org/W2145511008","https://openalex.org/W2172096297","https://openalex.org/W2492575127"],"related_works":["https://openalex.org/W2093260938","https://openalex.org/W3153752017","https://openalex.org/W2080858045","https://openalex.org/W4288324104","https://openalex.org/W940406003","https://openalex.org/W2391091101","https://openalex.org/W2941078816","https://openalex.org/W2166142773","https://openalex.org/W1621836093","https://openalex.org/W2370844392"],"abstract_inverted_index":{"In":[0],"this":[1,144],"article,":[2],"a":[3,39,67,103,107],"new":[4],"parameter-dependent":[5,28,65],"stability":[6],"criterion":[7],"for":[8],"switched":[9],"linear":[10],"discrete-time":[11],"systems":[12],"with":[13,70,81],"polytopic":[14],"uncertainties":[15],"is":[16,30,43,56,74,111],"provided":[17,137],"to":[18,32,59,138],"correct":[19],"an":[20],"error":[21],"occurring":[22],"in":[23,86],"previous":[24],"work,":[25],"and":[26,93,124],"the":[27,51,60,79,82,116,130,140],"idea":[29],"extended":[31],"\u2113":[33],"2":[34],"gain":[35],"analysis":[36],"problem.":[37],"Particularly,":[38],"less":[40,71],"conservative":[41],"result":[42],"proposed":[44],"by":[45,102],"introducing":[46],"additional":[47],"slack":[48],"matrices.":[49],"Furthermore,":[50],"\u210b":[52],"\u221e":[53],"control":[54],"problem":[55],"investigated.":[57],"Due":[58],"online":[61,117],"calculation":[62],"characteristic":[63],"of":[64,75,99,106,109,126,132],"controller,":[66],"controller":[68,80,100],"structure":[69,98],"computation":[72,118],"cost":[73,119],"interest.":[76],"Aside":[77],"from":[78],"same":[83],"form":[84],"as":[85],"some":[87],"existing":[88],"results":[89,125],"involving":[90],"matrix":[91],"multiplication":[92],"inversion":[94],"operators,":[95],"another":[96],"simple":[97],"formulated":[101],"convex":[104],"combination":[105],"set":[108],"matrices":[110],"proposed,":[112],"which":[113],"can":[114],"reduce":[115],"significantly.":[120],"A":[121],"numerical":[122],"example":[123],"simulation":[127],"performed":[128],"on":[129],"model":[131],"two-mass-spring":[133],"mechanical":[134],"system":[135],"are":[136],"illustrate":[139],"theoretical":[141],"findings":[142],"within":[143],"article.":[145]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}