{"id":"https://openalex.org/W2401631146","doi":"https://doi.org/10.1109/tac.2015.2480216","title":"Design of Stabilizing Switching Laws for Mixed Switched Affine Systems","display_name":"Design of Stabilizing Switching Laws for Mixed Switched Affine Systems","publication_year":2015,"publication_date":"2015-09-18","ids":{"openalex":"https://openalex.org/W2401631146","doi":"https://doi.org/10.1109/tac.2015.2480216","mag":"2401631146"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2015.2480216","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2480216","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5038537740","display_name":"Mohammad Hajiahmadi","orcid":"https://orcid.org/0000-0003-4592-7013"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Mohammad Hajiahmadi","raw_affiliation_strings":["Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026547410","display_name":"Bart De Schutter","orcid":"https://orcid.org/0000-0001-9867-6196"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Bart De Schutter","raw_affiliation_strings":["Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089638702","display_name":"Hans Hellendoorn","orcid":"https://orcid.org/0000-0003-1848-5694"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Hans Hellendoorn","raw_affiliation_strings":["Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Delft Center for Systems and Control, Delft University of Technology, Delft, The Netherlands","institution_ids":["https://openalex.org/I98358874"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038537740"],"corresponding_institution_ids":["https://openalex.org/I98358874"],"apc_list":null,"apc_paid":null,"fwci":4.0391,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.94138418,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"61","issue":"6","first_page":"1676","last_page":"1681"},"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9848999977111816,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9787999987602234,"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/lyapunov-function","display_name":"Lyapunov function","score":0.7026994228363037},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6590915322303772},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6578832268714905},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6508485674858093},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6042641401290894},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5884000062942505},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.512952983379364},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.3841862678527832},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21603494882583618},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1086968183517456},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08512583374977112}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7026994228363037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6590915322303772},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6578832268714905},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6508485674858093},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6042641401290894},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5884000062942505},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.512952983379364},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.3841862678527832},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21603494882583618},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1086968183517456},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08512583374977112},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2015.2480216","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2480216","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W293427409","https://openalex.org/W643982988","https://openalex.org/W1552094772","https://openalex.org/W1855336155","https://openalex.org/W1999575604","https://openalex.org/W2001738877","https://openalex.org/W2012998023","https://openalex.org/W2034240866","https://openalex.org/W2038645733","https://openalex.org/W2067864909","https://openalex.org/W2070128845","https://openalex.org/W2077402293","https://openalex.org/W2105038300","https://openalex.org/W2116680678","https://openalex.org/W2128484696","https://openalex.org/W2138515630","https://openalex.org/W2139656224","https://openalex.org/W2146447376","https://openalex.org/W2159964540","https://openalex.org/W2798813531"],"related_works":["https://openalex.org/W2038416447","https://openalex.org/W2364151838","https://openalex.org/W2066926363","https://openalex.org/W2354159744","https://openalex.org/W2351539857","https://openalex.org/W2381972071","https://openalex.org/W4301382669","https://openalex.org/W2142014702","https://openalex.org/W2013435949","https://openalex.org/W2027228577"],"abstract_inverted_index":{"This":[0],"technical":[1],"note":[2],"presents":[3],"stability":[4],"analysis":[5],"and":[6,41,60,96,117],"stabilization":[7,131,169],"for":[8,146],"a":[9,31,37,46,51],"general":[10],"class":[11],"of":[12,24,39,75,87,93,137,166],"switched":[13,27,32,150],"systems":[14],"characterized":[15],"by":[16,102],"nonlinear":[17,28,151],"functions.":[18],"The":[19,107],"proposed":[20,155,168],"approach":[21,109],"is":[22,69,110,171],"composed":[23],"approximating":[25],"the":[26,63,73,76,88,99,122,130,135,143,148,154,164,167],"system":[29,34,152],"with":[30,61,114],"affine":[33],"that":[35],"has":[36],"mixture":[38],"controlled":[40],"autonomous":[42,64],"switching":[43,53,65,156],"behavior.":[44],"Utilizing":[45],"joint":[47],"polyhedral":[48,67,94],"partitioning":[49],"approach,":[50],"stabilizing":[52,147],"law":[54],"based":[55],"on":[56],"quadratic":[57],"Lyapunov":[58,78,89],"functions":[59],"considering":[62],"between":[66],"regions":[68,95],"proposed.":[70],"To":[71],"ensure":[72],"decrease":[74],"overall":[77],"function,":[79],"two":[80,162],"approaches":[81],"are":[82,158],"proposed:":[83],"1)":[84],"guarantee":[85],"continuity":[86,100],"function":[90],"over":[91],"boundaries":[92],"2)":[97],"relax":[98],"requirement":[101],"using":[103,153],"additional":[104],"matrix":[105,118,139],"inequalities.":[106],"second":[108],"less":[111],"conservative":[112],"but":[113],"more":[115],"variables":[116],"inequalities":[119,140],"than":[120],"in":[121],"first":[123],"method.":[124],"With":[125],"fixing":[126],"one":[127],"scalar":[128],"variable,":[129],"conditions":[132,145],"will":[133],"have":[134],"form":[136],"linear":[138],"(LMIs).":[141],"Further,":[142],"sufficient":[144],"original":[149],"schemes":[157],"presented.":[159],"Finally,":[160],"through":[161],"examples,":[163],"performance":[165],"methods":[170],"demonstrated.":[172]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}