{"id":"https://openalex.org/W1991268031","doi":"https://doi.org/10.1093/imamci/dni036","title":"New results on quadratic stabilization of switched linear systems with polytopic uncertainties","display_name":"New results on quadratic stabilization of switched linear systems with polytopic uncertainties","publication_year":2005,"publication_date":"2005-06-03","ids":{"openalex":"https://openalex.org/W1991268031","doi":"https://doi.org/10.1093/imamci/dni036","mag":"1991268031"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dni036","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dni036","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5063831056","display_name":"Zhijian Ji","orcid":"https://orcid.org/0000-0002-9666-2572"},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Z. Ji","raw_affiliation_strings":["Intelligent Control Laboratory, Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intelligent Control Laboratory, Center for Systems and Control, Department of Mechanics and Engineering Science, Peking University, Beijing 100871, China","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063831056"],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":4.8514,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.93996606,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"22","issue":"4","first_page":"441","last_page":"452"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9901000261306763,"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":0.6975787281990051},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6423640847206116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5634509325027466},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5615292191505432},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.5362106561660767},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4789991080760956},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.4630351960659027},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.46030691266059875},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4582480788230896},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.4437882602214813},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4101468324661255},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3475433886051178},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.33329254388809204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3172638714313507},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1031281054019928},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.07206949591636658},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06404215097427368}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6975787281990051},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6423640847206116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5634509325027466},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5615292191505432},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.5362106561660767},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4789991080760956},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.4630351960659027},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.46030691266059875},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4582480788230896},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.4437882602214813},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4101468324661255},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3475433886051178},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.33329254388809204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3172638714313507},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1031281054019928},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.07206949591636658},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06404215097427368},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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:10.1093/imamci/dni036","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dni036","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W19432330","https://openalex.org/W1541875391","https://openalex.org/W1628230797","https://openalex.org/W1995063858","https://openalex.org/W2059379606","https://openalex.org/W2138081196","https://openalex.org/W2142160248"],"related_works":["https://openalex.org/W2364185937","https://openalex.org/W2104431298","https://openalex.org/W218543087","https://openalex.org/W2079322797","https://openalex.org/W2559943222","https://openalex.org/W2017308305","https://openalex.org/W2351142426","https://openalex.org/W2112447322","https://openalex.org/W2512933839","https://openalex.org/W2142189599"],"abstract_inverted_index":{"In":[0],"this":[1,51,75],"paper,":[2],"the":[3,17,30,40,43,53],"quadratic":[4,31],"stabilization":[5],"of":[6,42,47],"switched":[7,81,90],"linear":[8],"systems":[9],"with":[10,16],"polytopic":[11],"uncertainties":[12],"is":[13,26,37,78,85],"considered.":[14],"Compared":[15],"existing":[18],"result,":[19],"a":[20],"more":[21],"general":[22],"switching":[23,34],"control":[24,35,82],"method":[25,36],"proposed":[27],"to":[28,57,66],"guarantee":[29],"stabilization.":[32],"This":[33],"based":[38,100],"on":[39],"partition":[41],"vertex":[44],"matrix":[45,54,98],"set":[46],"each":[48],"subsystem.":[49],"By":[50],"method,":[52],"inequalities":[55],"needed":[56,65],"be":[58,67],"solved":[59,68],"are":[60,102],"always":[61],"less":[62],"than":[63],"those":[64],"before":[69],"except":[70],"one":[71],"extreme":[72],"case;":[73],"for":[74,88,104],"case,":[76],"it":[77],"equal.":[79],"The":[80],"synthesis":[83],"problem":[84],"also":[86],"studied":[87],"both":[89,105],"state":[91],"feedback":[92],"and":[93],"output":[94],"feedback.":[95],"Several":[96],"bilinear":[97],"inequality":[99],"conditions":[101],"derived":[103],"cases.":[106]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-05-16T08:24:45.110214","created_date":"2025-10-10T00:00:00"}