{"id":"https://openalex.org/W2464620113","doi":"https://doi.org/10.1093/imamci/dnv066","title":"Asymptotic stability analysis of planar switched homogeneous systems","display_name":"Asymptotic stability analysis of planar switched homogeneous systems","publication_year":2015,"publication_date":"2015-12-17","ids":{"openalex":"https://openalex.org/W2464620113","doi":"https://doi.org/10.1093/imamci/dnv066","mag":"2464620113"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnv066","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnv066","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5005144052","display_name":"khatereh Sokhanvar Mahani","orcid":null},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Khatereh Sokhanvar Mahani","raw_affiliation_strings":["Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016771804","display_name":"Ali Karimpour","orcid":"https://orcid.org/0000-0002-5080-4512"},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Ali Karimpour","raw_affiliation_strings":["Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056660688","display_name":"Naser Pariz","orcid":"https://orcid.org/0000-0001-6689-9176"},"institutions":[{"id":"https://openalex.org/I86958956","display_name":"Ferdowsi University of Mashhad","ror":"https://ror.org/00g6ka752","country_code":"IR","type":"education","lineage":["https://openalex.org/I86958956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Naser Pariz","raw_affiliation_strings":["Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran","institution_ids":["https://openalex.org/I86958956"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016771804"],"corresponding_institution_ids":["https://openalex.org/I86958956"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19582655,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"dnv066","last_page":"dnv066"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9915000200271606,"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":0.9911999702453613,"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/exponential-stability","display_name":"Exponential stability","score":0.7545228600502014},{"id":"https://openalex.org/keywords/homogeneity","display_name":"Homogeneity (statistics)","score":0.7134963274002075},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6651338338851929},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.6240450143814087},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6236262321472168},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.542588472366333},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.527561604976654},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4593958556652069},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.4558710753917694},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36071884632110596},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34493309259414673},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2275623381137848},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14382219314575195},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09501644968986511},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08020845055580139},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06747716665267944}],"concepts":[{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.7545228600502014},{"id":"https://openalex.org/C142259097","wikidata":"https://www.wikidata.org/wiki/Q5891314","display_name":"Homogeneity (statistics)","level":2,"score":0.7134963274002075},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6651338338851929},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.6240450143814087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6236262321472168},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.542588472366333},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.527561604976654},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4593958556652069},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.4558710753917694},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36071884632110596},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34493309259414673},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2275623381137848},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14382219314575195},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09501644968986511},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08020845055580139},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06747716665267944},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","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},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnv066","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnv066","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.4399999976158142,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1552094772","https://openalex.org/W1970470778","https://openalex.org/W1973220642","https://openalex.org/W1977079497","https://openalex.org/W1989989062","https://openalex.org/W1991911163","https://openalex.org/W2008081580","https://openalex.org/W2008610592","https://openalex.org/W2009134826","https://openalex.org/W2017074406","https://openalex.org/W2017847577","https://openalex.org/W2041187611","https://openalex.org/W2096492432","https://openalex.org/W2104290984","https://openalex.org/W2112961825","https://openalex.org/W2128049069","https://openalex.org/W2128506805","https://openalex.org/W2130246174","https://openalex.org/W2131295455","https://openalex.org/W2132809837","https://openalex.org/W2134673351","https://openalex.org/W2134930569","https://openalex.org/W2135444912","https://openalex.org/W2139845837","https://openalex.org/W2141776968","https://openalex.org/W2144549810","https://openalex.org/W2148411251","https://openalex.org/W2176764423"],"related_works":["https://openalex.org/W1999392235","https://openalex.org/W2059493168","https://openalex.org/W2075537321","https://openalex.org/W2055668825","https://openalex.org/W2371593620","https://openalex.org/W2156037511","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"The":[0],"main":[1],"purpose":[2],"of":[3,16,28,42,53,67,88,101,112,119,141],"this":[4],"study":[5],"is":[6],"to":[7,12],"provide":[8],"a":[9,26],"novel":[10],"approach":[11],"asymptotic":[13,99,110],"stability":[14,100,111,116],"analysis":[15],"planar":[17,102],"switched":[18,21,103],"systems.":[19,106,135],"These":[20],"systems":[22],"are":[23,122,130],"generated":[24],"by":[25,91],"family":[27],"two-dimensional":[29,72],"autonomous":[30],"subsystems":[31,43],"with":[32,44],"generalized":[33],"homogeneous":[34,82,104],"right-hand":[35],"sides.":[36],"Here,":[37],"we":[38,62,80,93],"consider":[39],"arbitrary":[40],"numbers":[41],"the":[45,64,109,139,142],"same":[46],"dilation":[47],"coefficients":[48],"and":[49,59,85,117,125],"possibly":[50],"different":[51],"degrees":[52],"homogeneity.":[54],"First,":[55],"based":[56],"on":[57],"homogeneity":[58],"graphical":[60],"characteristics,":[61],"introduce":[63],"new":[65],"concept":[66],"quasi-polar":[68,77],"representation":[69,78],"form":[70],"for":[71,97,133],"vector":[73],"fields.":[74],"Then":[75],"using":[76],"form,":[79],"define":[81],"rotational":[83],"direction":[84],"growth":[86],"rate":[87],"state":[89],"trajectories,":[90],"which":[92],"present":[94],"sufficient":[95],"conditions":[96],"global":[98],"(PSH)":[105],"To":[107],"show":[108,138],"such":[113],"systems,":[114],"Lyapunov":[115],"convergence":[118],"system's":[120],"response":[121],"proved.":[123],"Unidirectional":[124],"bidirectional":[126],"stabilizing":[127],"switching":[128],"laws":[129],"also":[131],"probed":[132],"PSH":[134],"Simulation":[136],"results":[137],"applicability":[140],"approach.":[143]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
