{"id":"https://openalex.org/W2895400835","doi":"https://doi.org/10.2478/amcs-2018-0032","title":"Quadratic Performance Analysis of Switched Affine Time\u2013Varying Systems","display_name":"Quadratic Performance Analysis of Switched Affine Time\u2013Varying Systems","publication_year":2018,"publication_date":"2018-09-01","ids":{"openalex":"https://openalex.org/W2895400835","doi":"https://doi.org/10.2478/amcs-2018-0032","mag":"2895400835"},"language":"en","primary_location":{"id":"doi:10.2478/amcs-2018-0032","is_oa":true,"landing_page_url":"https://doi.org/10.2478/amcs-2018-0032","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/28/3/article-p429.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://content.sciendo.com/downloadpdf/journals/amcs/28/3/article-p429.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108391704","display_name":"Wenzhi Li","orcid":null},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenzhi Li","raw_affiliation_strings":["College of Mathematics Taiyuan University of Technology, Taiyuan , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics Taiyuan University of Technology, Taiyuan , China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025153862","display_name":"Chi Huang","orcid":"https://orcid.org/0000-0001-8927-4072"},"institutions":[{"id":"https://openalex.org/I9086337","display_name":"Taiyuan University of Technology","ror":"https://ror.org/03kv08d37","country_code":"CN","type":"education","lineage":["https://openalex.org/I9086337"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chi Huang","raw_affiliation_strings":["College of Mathematics Taiyuan University of Technology, Taiyuan , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics Taiyuan University of Technology, Taiyuan , China","institution_ids":["https://openalex.org/I9086337"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046218317","display_name":"Guisheng Zhai","orcid":"https://orcid.org/0000-0001-5073-9485"},"institutions":[{"id":"https://openalex.org/I171481255","display_name":"Shibaura Institute of Technology","ror":"https://ror.org/020wjcq07","country_code":"JP","type":"education","lineage":["https://openalex.org/I171481255"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Guisheng Zhai","raw_affiliation_strings":["Department of Mathematical Sciences Shibaura Institute of Technology, Saitama , Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences Shibaura Institute of Technology, Saitama , Japan","institution_ids":["https://openalex.org/I171481255"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5025153862"],"corresponding_institution_ids":["https://openalex.org/I9086337"],"apc_list":{"value":4080,"currency":"PLN","value_usd":1100},"apc_paid":{"value":4080,"currency":"PLN","value_usd":1100},"fwci":1.3111,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.81768986,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"28","issue":"3","first_page":"429","last_page":"440"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9950000047683716,"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/T11236","display_name":"Control Systems and Identification","score":0.989799976348877,"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/affine-transformation","display_name":"Affine transformation","score":0.817021369934082},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.713427722454071},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6906320452690125},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6150341033935547},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6075949668884277},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5156930088996887},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.49317044019699097},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.47509586811065674},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4455465078353882},{"id":"https://openalex.org/keywords/affine-combination","display_name":"Affine combination","score":0.43740853667259216},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.3856179714202881},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28498217463493347},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15069463849067688},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14442378282546997},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12116330862045288}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.817021369934082},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.713427722454071},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6906320452690125},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6150341033935547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6075949668884277},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5156930088996887},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.49317044019699097},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.47509586811065674},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4455465078353882},{"id":"https://openalex.org/C207221997","wikidata":"https://www.wikidata.org/wiki/Q938614","display_name":"Affine combination","level":3,"score":0.43740853667259216},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3856179714202881},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28498217463493347},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15069463849067688},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14442378282546997},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12116330862045288},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2478/amcs-2018-0032","is_oa":true,"landing_page_url":"https://doi.org/10.2478/amcs-2018-0032","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/28/3/article-p429.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3e78d5dd96104c12bcf2649d42203d87","is_oa":true,"landing_page_url":"https://doaj.org/article/3e78d5dd96104c12bcf2649d42203d87","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Applied Mathematics and Computer Science, Vol 28, Iss 3, Pp 429-440 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.2478/amcs-2018-0032","is_oa":true,"landing_page_url":"https://doi.org/10.2478/amcs-2018-0032","pdf_url":"https://content.sciendo.com/downloadpdf/journals/amcs/28/3/article-p429.pdf","source":{"id":"https://openalex.org/S117679522","display_name":"International Journal of Applied Mathematics and Computer Science","issn_l":"1641-876X","issn":["1641-876X","2083-8492"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Applied Mathematics and Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8100000023841858}],"awards":[{"id":"https://openalex.org/G1215309835","display_name":"Practical stability and stabilizability of switched and hybrid systems","funder_award_id":"21560471","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G618236832","display_name":null,"funder_award_id":"2015-044","funder_id":"https://openalex.org/F4320321884","funder_display_name":"Shanxi Scholarship Council of China"},{"id":"https://openalex.org/G8332583322","display_name":null,"funder_award_id":"61603268","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321884","display_name":"Shanxi Scholarship Council of China","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2895400835.pdf","grobid_xml":"https://content.openalex.org/works/W2895400835.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W658474564","https://openalex.org/W1171079553","https://openalex.org/W1552094772","https://openalex.org/W1594130515","https://openalex.org/W1982957947","https://openalex.org/W1983575158","https://openalex.org/W1984928597","https://openalex.org/W1995063858","https://openalex.org/W1996478669","https://openalex.org/W1996726104","https://openalex.org/W1999021775","https://openalex.org/W2004829965","https://openalex.org/W2024197616","https://openalex.org/W2024378488","https://openalex.org/W2033505412","https://openalex.org/W2038788041","https://openalex.org/W2039015886","https://openalex.org/W2047028641","https://openalex.org/W2055859268","https://openalex.org/W2059626897","https://openalex.org/W2078531791","https://openalex.org/W2104958104","https://openalex.org/W2118741873","https://openalex.org/W2121898590","https://openalex.org/W2125308291","https://openalex.org/W2128785176","https://openalex.org/W2142160248","https://openalex.org/W2167834159","https://openalex.org/W2344309565","https://openalex.org/W2419080573","https://openalex.org/W2463908258","https://openalex.org/W2492575127","https://openalex.org/W2604517616","https://openalex.org/W3142522509"],"related_works":["https://openalex.org/W2899061696","https://openalex.org/W2038416447","https://openalex.org/W2073801174","https://openalex.org/W2354159744","https://openalex.org/W2077614002","https://openalex.org/W2100544925","https://openalex.org/W1965628666","https://openalex.org/W2773810497","https://openalex.org/W2022620565","https://openalex.org/W2600867691"],"abstract_inverted_index":{"Abstract":[0],"We":[1,50],"analyze":[2],"quadratic":[3,34,37],"performance":[4,38],"for":[5,141],"switched":[6,94,143],"systems":[7,146],"which":[8],"are":[9,26],"composed":[10],"of":[11,15,58,68,110],"a":[12,54,77,128],"finite":[13],"set":[14],"affine":[16,24,69,95,111,144],"time-varying":[17,145],"subsystems,":[18],"where":[19,106],"both":[20],"subsystem":[21,31,59],"matrices":[22,60],"and":[23,28,46,64,83,125],"vectors":[25,70,112],"switched,":[27],"no":[29],"single":[30],"has":[32],"desired":[33],"performance.":[35],"The":[36],"indexes":[39],"we":[40,74,115,133],"deal":[41],"with":[42],"include":[43],"stability,":[44],"tracking":[45,119],"L":[47,136],"2":[48,137],"gain.":[49],"show":[51,116],"that":[52,91,117],"if":[53],"linear":[55],"convex":[56,66,108],"combination":[57,67,109],"is":[61,71,97,113],"uniformly":[62],"Hurwitz":[63],"another":[65],"zero,":[72],"then":[73],"can":[75,122],"design":[76],"state-dependent":[78],"switching":[79,86,130],"law":[80,87],"(state":[81],"feedback)":[82,89],"an":[84],"output-dependent":[85],"(output":[88],"such":[90],"the":[92,101,104,107,118,135,142],"entire":[93],"system":[96],"quadratically":[98],"stable":[99],"at":[100],"origin.":[102],"In":[103],"case":[105],"nonzero,":[114],"control":[120],"problem":[121,140],"be":[123],"posed":[124],"solved":[126],"using":[127],"similar":[129],"strategy.":[131],"Finally,":[132],"consider":[134],"gain":[138],"analysis":[139],"under":[147],"state":[148],"feedback.":[149]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2018-10-12T00:00:00"}