{"id":"https://openalex.org/W2156429317","doi":"https://doi.org/10.1109/acc.2006.1655344","title":"An LMI method for stabilizing second-order switched systems","display_name":"An LMI method for stabilizing second-order switched systems","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W2156429317","doi":"https://doi.org/10.1109/acc.2006.1655344","mag":"2156429317"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2006.1655344","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2006.1655344","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 American Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11376/2084","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008939878","display_name":"Xi\u2010Ming Sun","orcid":"https://orcid.org/0000-0002-1883-3495"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xi-Ming Sun","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022299830","display_name":"Georgi M. Dimirovski","orcid":"https://orcid.org/0000-0003-1986-8451"},"institutions":[{"id":"https://openalex.org/I129994210","display_name":"Do\u011fu\u015f University","ror":"https://ror.org/0272rjm42","country_code":"TR","type":"education","lineage":["https://openalex.org/I129994210"]},{"id":"https://openalex.org/I76245029","display_name":"Ss. Cyril and Methodius University in Skopje","ror":"https://ror.org/02wk2vx54","country_code":"MK","type":"education","lineage":["https://openalex.org/I76245029"]}],"countries":["MK","TR"],"is_corresponding":false,"raw_author_name":"G.M. Dimirovski","raw_affiliation_strings":["Department of Computer Engineering, Dogus University, Istanbul, Turkey","SS Cyril and Methodius University, Skopje, Macedonia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Dogus University, Istanbul, Turkey","institution_ids":["https://openalex.org/I129994210"]},{"raw_affiliation_string":"SS Cyril and Methodius University, Skopje, Macedonia","institution_ids":["https://openalex.org/I76245029"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101592281","display_name":"Jun Zhao","orcid":"https://orcid.org/0000-0001-8549-5783"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Zhao","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":null,"first_page":"5 pp.","last_page":"5 pp."},"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":0.9930999875068665,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9887999892234802,"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":0.7347309589385986},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.6868911981582642},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5817579627037048},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5678680539131165},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5467057824134827},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.49570930004119873},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4613945484161377},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4466818571090698},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.43733954429626465},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3579659163951874},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3368547260761261},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3341371417045593},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16951629519462585},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.098303884267807},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09174889326095581},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.07464399933815002}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7347309589385986},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6868911981582642},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5817579627037048},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5678680539131165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5467057824134827},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.49570930004119873},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4613945484161377},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4466818571090698},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.43733954429626465},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3579659163951874},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3368547260761261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3341371417045593},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16951629519462585},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.098303884267807},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09174889326095581},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.07464399933815002},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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":2,"locations":[{"id":"doi:10.1109/acc.2006.1655344","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2006.1655344","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:openaccess.dogus.edu.tr:11376/2084","is_oa":true,"landing_page_url":"http://hdl.handle.net/11376/2084","pdf_url":null,"source":{"id":"https://openalex.org/S4306401052","display_name":"Dogus University Institutional Repository (Dogus University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129994210","host_organization_name":"Do\u011fu\u015f University","host_organization_lineage":["https://openalex.org/I129994210"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conferenceObject"}],"best_oa_location":{"id":"pmh:oai:openaccess.dogus.edu.tr:11376/2084","is_oa":true,"landing_page_url":"http://hdl.handle.net/11376/2084","pdf_url":null,"source":{"id":"https://openalex.org/S4306401052","display_name":"Dogus University Institutional Repository (Dogus University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129994210","host_organization_name":"Do\u011fu\u015f University","host_organization_lineage":["https://openalex.org/I129994210"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"conferenceObject"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5799999833106995,"id":"https://metadata.un.org/sdg/16"}],"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":12,"referenced_works":["https://openalex.org/W1552094772","https://openalex.org/W1995063858","https://openalex.org/W2059379606","https://openalex.org/W2075197305","https://openalex.org/W2118741873","https://openalex.org/W2138081196","https://openalex.org/W2148411251","https://openalex.org/W2154987742","https://openalex.org/W2158681729","https://openalex.org/W2477662854","https://openalex.org/W2497533977","https://openalex.org/W2810565967"],"related_works":["https://openalex.org/W2807251790","https://openalex.org/W2799406489","https://openalex.org/W2049792449","https://openalex.org/W986251431","https://openalex.org/W2503798035","https://openalex.org/W2963420405","https://openalex.org/W2054171707","https://openalex.org/W1716629940","https://openalex.org/W2161468807","https://openalex.org/W2130755296"],"abstract_inverted_index":{"In":[0],"existing":[1],"results,":[2],"as":[3],"for":[4,48],"the":[5,14,26,76,79],"developed":[6],"sufficient":[7],"conditions":[8],"of":[9,16,28,54,61,78],"stabilizing":[10,43],"switching":[11,33,44,71],"law":[12,45],"in":[13,52],"form":[15],"linear":[17,55],"matrix":[18,56],"inequalities,":[19],"there":[20],"is":[21],"usually":[22],"a":[23,41],"constraint":[24],"that":[25],"values":[27,60],"two":[29,62],"Lyapunov":[30,63],"functions":[31,64],"at":[32,70],"instants":[34],"must":[35],"be":[36,68],"equal.":[37],"This":[38],"paper":[39],"develops":[40],"new":[42],"design":[46],"method":[47],"second-order":[49],"switched":[50],"system":[51],"terms":[53],"inequalities":[57],"problem.":[58],"The":[59],"need":[65],"not":[66],"to":[67],"equal":[69],"instants.":[72],"Simulation":[73],"has":[74],"demonstrated":[75],"effectiveness":[77],"proposed":[80],"method.":[81]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}