{"id":"https://openalex.org/W4381748185","doi":"https://doi.org/10.1109/lcsys.2023.3288735","title":"Sufficient Stability Conditions for a Class of Switched Systems With Multiple Steady States","display_name":"Sufficient Stability Conditions for a Class of Switched Systems With Multiple Steady States","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4381748185","doi":"https://doi.org/10.1109/lcsys.2023.3288735"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2023.3288735","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2023.3288735","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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/A5018009415","display_name":"Jacopo Piccini","orcid":"https://orcid.org/0000-0002-4180-8140"},"institutions":[{"id":"https://openalex.org/I123185442","display_name":"Reykjav\u00edk University","ror":"https://ror.org/05d2kyx68","country_code":"IS","type":"education","lineage":["https://openalex.org/I123185442"]}],"countries":["IS"],"is_corresponding":false,"raw_author_name":"Jacopo Piccini","raw_affiliation_strings":["Department of Engineering, Reykjavik University, Reykjavik, Iceland"],"raw_orcid":"https://orcid.org/0000-0002-4180-8140","affiliations":[{"raw_affiliation_string":"Department of Engineering, Reykjavik University, Reykjavik, Iceland","institution_ids":["https://openalex.org/I123185442"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061495550","display_name":"Elias August","orcid":"https://orcid.org/0000-0001-9018-5624"},"institutions":[{"id":"https://openalex.org/I123185442","display_name":"Reykjav\u00edk University","ror":"https://ror.org/05d2kyx68","country_code":"IS","type":"education","lineage":["https://openalex.org/I123185442"]}],"countries":["IS"],"is_corresponding":false,"raw_author_name":"Elias August","raw_affiliation_strings":["Department of Engineering, Reykjavik University, Reykjavik, Iceland"],"raw_orcid":"https://orcid.org/0000-0001-9018-5624","affiliations":[{"raw_affiliation_string":"Department of Engineering, Reykjavik University, Reykjavik, Iceland","institution_ids":["https://openalex.org/I123185442"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045006396","display_name":"Sigur\u00f0ur Hafstein","orcid":"https://orcid.org/0000-0003-0073-2765"},"institutions":[{"id":"https://openalex.org/I165368041","display_name":"University of Iceland","ror":"https://ror.org/01db6h964","country_code":"IS","type":"education","lineage":["https://openalex.org/I165368041"]}],"countries":["IS"],"is_corresponding":false,"raw_author_name":"Sigurdur Hafstein","raw_affiliation_strings":["Faculty of Physical Sciences, University of Iceland, Reykjavik, Iceland"],"raw_orcid":"https://orcid.org/0000-0003-0073-2765","affiliations":[{"raw_affiliation_string":"Faculty of Physical Sciences, University of Iceland, Reykjavik, Iceland","institution_ids":["https://openalex.org/I165368041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064014962","display_name":"Stefania Andersen","orcid":"https://orcid.org/0000-0001-6747-775X"},"institutions":[{"id":"https://openalex.org/I165368041","display_name":"University of Iceland","ror":"https://ror.org/01db6h964","country_code":"IS","type":"education","lineage":["https://openalex.org/I165368041"]}],"countries":["IS"],"is_corresponding":false,"raw_author_name":"Stefania Andersen","raw_affiliation_strings":["Faculty of Physical Sciences, University of Iceland, Reykjavik, Iceland"],"raw_orcid":"https://orcid.org/0000-0001-6747-775X","affiliations":[{"raw_affiliation_string":"Faculty of Physical Sciences, University of Iceland, Reykjavik, Iceland","institution_ids":["https://openalex.org/I165368041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5163,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63958628,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"7","issue":null,"first_page":"2653","last_page":"2658"},"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":0.9966999888420105,"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":0.9966999888420105,"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":0.9958000183105469,"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":0.9944999814033508,"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/attractor","display_name":"Attractor","score":0.6791843175888062},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6434069871902466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6126441955566406},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6113244295120239},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5859329700469971},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5818310379981995},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5564236044883728},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5491577982902527},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.5281790494918823},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5178554654121399},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4757425785064697},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4522552490234375},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.445843368768692},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.44557642936706543},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41883549094200134},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22679316997528076},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16142001748085022},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08271673321723938},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06968104839324951}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6791843175888062},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6434069871902466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6126441955566406},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6113244295120239},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5859329700469971},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5818310379981995},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5564236044883728},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5491577982902527},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.5281790494918823},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5178554654121399},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4757425785064697},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4522552490234375},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.445843368768692},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.44557642936706543},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41883549094200134},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22679316997528076},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16142001748085022},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08271673321723938},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06968104839324951},{"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/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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2023.3288735","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2023.3288735","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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":27,"referenced_works":["https://openalex.org/W1496537269","https://openalex.org/W1552094772","https://openalex.org/W1900371862","https://openalex.org/W1967073510","https://openalex.org/W1967184028","https://openalex.org/W1995063858","https://openalex.org/W1998204024","https://openalex.org/W2024106956","https://openalex.org/W2062974796","https://openalex.org/W2084970142","https://openalex.org/W2099212405","https://openalex.org/W2115520718","https://openalex.org/W2129490681","https://openalex.org/W2129492921","https://openalex.org/W2142166881","https://openalex.org/W2144329495","https://openalex.org/W2158169200","https://openalex.org/W2161914452","https://openalex.org/W2237142213","https://openalex.org/W2524522145","https://openalex.org/W2536620281","https://openalex.org/W2965995223","https://openalex.org/W2990747985","https://openalex.org/W3025607539","https://openalex.org/W4293104856","https://openalex.org/W4313429443","https://openalex.org/W6777408076"],"related_works":["https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590","https://openalex.org/W2949281083","https://openalex.org/W2524522145","https://openalex.org/W2568163574","https://openalex.org/W1618149703","https://openalex.org/W2003652915","https://openalex.org/W2289860960"],"abstract_inverted_index":{"In":[0],"this":[1,51,58],"paper,":[2],"we":[3,24,48,60,72],"present":[4],"a":[5,33,65,76],"novel":[6],"approach":[7],"to":[8,30],"determine":[9],"the":[10],"stability":[11,63],"of":[12,20,27,68],"switched":[13,69,80],"linear":[14,46],"and":[15,91],"nonlinear":[16,81],"systems":[17],"using":[18],"Sum":[19,26],"Squares":[21,28],"optimisation.":[22],"Particularly,":[23],"use":[25],"optimisation":[29],"search":[31,74],"for":[32,64,75,79],"Lyapunov":[34],"function":[35],"that":[36,41,50],"defines":[37],"an":[38],"absorbing":[39],"set":[40],"confines":[42],"solution":[43],"trajectories.":[44],"For":[45],"systems,":[47,70,82],"show":[49],"also":[52],"implies":[53],"global":[54,77],"asymptotic":[55],"stability.":[56],"Using":[57],"approach,":[59],"can":[61,73],"study":[62],"broader":[66],"range":[67],"particularly,":[71],"attractor":[78],"whose":[83],"dynamics":[84],"are":[85],"given":[86],"by":[87],"polynomial":[88],"vector":[89],"fields":[90],"which":[92],"have":[93],"multiple":[94],"equilibria":[95],"or":[96],"limit":[97],"cycles.":[98]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}