{"id":"https://openalex.org/W2982554804","doi":"https://doi.org/10.1109/icstcc.2019.8885946","title":"Connotations on a quadratic stability criterion for arbitrary switching linear systems","display_name":"Connotations on a quadratic stability criterion for arbitrary switching linear systems","publication_year":2019,"publication_date":"2019-10-01","ids":{"openalex":"https://openalex.org/W2982554804","doi":"https://doi.org/10.1109/icstcc.2019.8885946","mag":"2982554804"},"language":"en","primary_location":{"id":"doi:10.1109/icstcc.2019.8885946","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icstcc.2019.8885946","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 23rd International Conference on System Theory, Control and Computing (ICSTCC)","raw_type":"proceedings-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/A5034190618","display_name":"Octavian P\u0103str\u0103vanu","orcid":"https://orcid.org/0000-0001-7607-8646"},"institutions":[{"id":"https://openalex.org/I4210108695","display_name":"Gheorghe Asachi Technical University of Ia\u0219i","ror":"https://ror.org/014zxnz40","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210108695"]}],"countries":["RO"],"is_corresponding":true,"raw_author_name":"Octavian Pastravanu","raw_affiliation_strings":["Department of Automatic Control and Applied Informatics, Technical University \u201cGheorghe Asachi\u201d of Iasi, Iasi, Romania","Department of Automatic Control and Applied Informatics, Technical University \"Gheorghe Asachi\" of Iasi, Iasi, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Applied Informatics, Technical University \u201cGheorghe Asachi\u201d of Iasi, Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]},{"raw_affiliation_string":"Department of Automatic Control and Applied Informatics, Technical University \"Gheorghe Asachi\" of Iasi, Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047111551","display_name":"Mihaela-Hanako Matcovschi","orcid":"https://orcid.org/0000-0001-6141-2031"},"institutions":[{"id":"https://openalex.org/I4210108695","display_name":"Gheorghe Asachi Technical University of Ia\u0219i","ror":"https://ror.org/014zxnz40","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210108695"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Mihaela-Hanako Matcovschi","raw_affiliation_strings":["Department of Automatic Control and Applied Informatics, Technical University \u201cGheorghe Asachi\u201d of Iasi, Iasi, Romania","Department of Automatic Control and Applied Informatics, Technical University \"Gheorghe Asachi\" of Iasi, Iasi, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Applied Informatics, Technical University \u201cGheorghe Asachi\u201d of Iasi, Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]},{"raw_affiliation_string":"Department of Automatic Control and Applied Informatics, Technical University \"Gheorghe Asachi\" of Iasi, Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018358666","display_name":"Mihail Voicu","orcid":"https://orcid.org/0000-0002-4074-2899"},"institutions":[{"id":"https://openalex.org/I4210108695","display_name":"Gheorghe Asachi Technical University of Ia\u0219i","ror":"https://ror.org/014zxnz40","country_code":"RO","type":"education","lineage":["https://openalex.org/I4210108695"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Mihail Voicu","raw_affiliation_strings":["Department of Automatic Control and Applied Informatics, Technical University \u201cGheorghe Asachi\u201d of Iasi, Iasi, Romania","Department of Automatic Control and Applied Informatics, Technical University \"Gheorghe Asachi\" of Iasi, Iasi, Romania"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Applied Informatics, Technical University \u201cGheorghe Asachi\u201d of Iasi, Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]},{"raw_affiliation_string":"Department of Automatic Control and Applied Informatics, Technical University \"Gheorghe Asachi\" of Iasi, Iasi, Romania","institution_ids":["https://openalex.org/I4210108695"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5034190618"],"corresponding_institution_ids":["https://openalex.org/I4210108695"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13837806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"56","issue":null,"first_page":"25","last_page":"30"},"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":0.9997000098228455,"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":0.9997000098228455,"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/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.993399977684021,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5887489318847656},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.55042564868927},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5362372398376465},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4584377408027649},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4355868697166443},{"id":"https://openalex.org/keywords/circle-criterion","display_name":"Circle criterion","score":0.4124825596809387},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3808142840862274},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3585910201072693},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.28281769156455994},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20068705081939697},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.18408271670341492},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13546207547187805},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08202996850013733},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06703245639801025}],"concepts":[{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5887489318847656},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.55042564868927},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5362372398376465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4584377408027649},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4355868697166443},{"id":"https://openalex.org/C65521940","wikidata":"https://www.wikidata.org/wiki/Q5121443","display_name":"Circle criterion","level":4,"score":0.4124825596809387},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3808142840862274},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3585910201072693},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.28281769156455994},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20068705081939697},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.18408271670341492},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13546207547187805},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08202996850013733},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06703245639801025},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icstcc.2019.8885946","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icstcc.2019.8885946","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 23rd International Conference on System Theory, Control and Computing (ICSTCC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W75345007","https://openalex.org/W1552094772","https://openalex.org/W1880805667","https://openalex.org/W1967073510","https://openalex.org/W1971934985","https://openalex.org/W1986355207","https://openalex.org/W1988652508","https://openalex.org/W1996864164","https://openalex.org/W1997370679","https://openalex.org/W2017465297","https://openalex.org/W2077402293","https://openalex.org/W2083645139","https://openalex.org/W2099977591","https://openalex.org/W2116680678","https://openalex.org/W2292326092","https://openalex.org/W2495048106","https://openalex.org/W2536620281","https://openalex.org/W4231039456","https://openalex.org/W4240790602"],"related_works":["https://openalex.org/W1970104640","https://openalex.org/W2785906022","https://openalex.org/W2743355309","https://openalex.org/W2037433734","https://openalex.org/W2330477611","https://openalex.org/W2102521758","https://openalex.org/W2076569899","https://openalex.org/W1710216139","https://openalex.org/W1986489582","https://openalex.org/W2410283908"],"abstract_inverted_index":{"The":[0],"work":[1],"is":[2],"placed":[3],"within":[4],"the":[5,17,36,44,50,56,80,89,98,109,114,131,145,148,152,156],"area":[6],"of":[7,10,19,33,38,82,147],"qualitative":[8],"analysis":[9],"arbitrary":[11,163],"switching":[12,164],"linear":[13],"systems,":[14,71],"focusing":[15],"on":[16,35],"existence":[18,81],"quadratic":[20,52,84,137],"Lyapunov":[21,53,85,138],"functions":[22],"for":[23,67,136,161],"discrete-":[24],"or":[25],"continuous-time":[26,70,162],"dynamics.":[27],"Our":[28,119],"investigations":[29],"express":[30],"a":[31,39,106,127],"series":[32],"connotations":[34,60],"utilization":[37],"criterion":[40,116],"(amply":[41],"cited":[42],"in":[43,55],"control":[45],"engineering":[46],"literature)":[47],"which":[48],"characterizes":[49],"mode-dependent":[51],"functions,":[54,86],"discrete-time":[57,68,99],"case.":[58],"These":[59],"are":[61,121],"formulated":[62],"as":[63],"two":[64],"distinct":[65],"theorems,":[66],"and":[69],"respectively;":[72],"both":[73],"theorems":[74,120],"provide":[75],"algebraic":[76,102,110],"conditions":[77],"that":[78,125],"ensure":[79],"time-independent":[83],"together":[87],"with":[88,151],"associated":[90],"sets":[91],"invariant":[92],"relative":[93],"to":[94],"system":[95],"trajectories.":[96],"In":[97],"case,":[100],"our":[101],"condition":[103,111],"includes":[104],"(as":[105],"particular":[107],"form)":[108],"used":[112],"by":[113,123,144],"existing":[115],"mentioned":[117],"above.":[118],"accompanied":[122],"remarks":[124],"create":[126],"deeper":[128],"insight":[129],"into":[130],"dichotomy":[132],"time-independence":[133],"vs.":[134],"time-dependence":[135],"functions.":[139],"A":[140],"numerical":[141],"example":[142],"addressed":[143],"help":[146],"SeDuMi":[149],"solver":[150],"YALMIP":[153],"interface":[154],"illustrates":[155],"key":[157],"theoretical":[158],"points":[159],"discussed":[160],"systems.":[165]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
