{"id":"https://openalex.org/W4226210405","doi":"https://doi.org/10.1109/lcsys.2022.3166852","title":"Stability of Discrete-Time Switched Systems With Multiple Equilibria Using a Common Quadratic Lyapunov Function","display_name":"Stability of Discrete-Time Switched Systems With Multiple Equilibria Using a Common Quadratic Lyapunov Function","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4226210405","doi":"https://doi.org/10.1109/lcsys.2022.3166852"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2022.3166852","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2022.3166852","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/A5043364762","display_name":"Mohamed A. Hafez","orcid":"https://orcid.org/0000-0002-3512-3583"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mohamed A. Hafez","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0002-3512-3583","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016807277","display_name":"Mireille E. Broucke","orcid":"https://orcid.org/0000-0001-8275-3716"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mireille E. Broucke","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0001-8275-3716","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":1.2136,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.77503064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"6","issue":null,"first_page":"2497","last_page":"2502"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9979000091552734,"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":0.9968000054359436,"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":0.7178101539611816},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6946071982383728},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6693663001060486},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6665076017379761},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6319732069969177},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5931723117828369},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48565471172332764},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4793577790260315},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.46482399106025696},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4391114115715027},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42340540885925293},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.4182819724082947},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32284238934516907},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1006019115447998},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06364282965660095},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05677151679992676}],"concepts":[{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7178101539611816},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6946071982383728},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6693663001060486},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6665076017379761},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6319732069969177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5931723117828369},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48565471172332764},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4793577790260315},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.46482399106025696},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4391114115715027},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42340540885925293},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.4182819724082947},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32284238934516907},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1006019115447998},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06364282965660095},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05677151679992676},{"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2022.3166852","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2022.3166852","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":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1491730507","https://openalex.org/W1552094772","https://openalex.org/W2003375661","https://openalex.org/W2004555777","https://openalex.org/W2024006515","https://openalex.org/W2032489703","https://openalex.org/W2114235099","https://openalex.org/W2134278982","https://openalex.org/W2145511008","https://openalex.org/W2157704834","https://openalex.org/W2237142213","https://openalex.org/W2464521628","https://openalex.org/W2570437550","https://openalex.org/W2588400776","https://openalex.org/W2906628515","https://openalex.org/W2963200020","https://openalex.org/W2965995223","https://openalex.org/W3025607539","https://openalex.org/W3116139329","https://openalex.org/W3118802763","https://openalex.org/W4210329113","https://openalex.org/W6629348455","https://openalex.org/W6777408076"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W2030955003","https://openalex.org/W2374426356","https://openalex.org/W1977987201","https://openalex.org/W2059628530","https://openalex.org/W2164487476","https://openalex.org/W3194517843","https://openalex.org/W2106169668","https://openalex.org/W2534107666"],"abstract_inverted_index":{"This":[0],"letter":[1],"studies":[2],"stability":[3,37],"of":[4,7,26,38,53,59],"a":[5,19,27,39,51],"class":[6],"discrete-time":[8],"switched":[9],"systems":[10],"under":[11],"arbitrary":[12],"switching":[13],"in":[14,32],"which":[15],"each":[16],"subsystem":[17],"has":[18],"different":[20],"equilibrium.":[21],"We":[22],"extend":[23],"the":[24,44,62],"concept":[25],"common":[28],"quadratic":[29],"Lyapunov":[30],"function":[31],"order":[33],"to":[34,50,56],"characterize":[35],"asymptotic":[36],"set":[40],"that":[41],"contains":[42],"all":[43],"equilibria.":[45],"The":[46],"results":[47],"are":[48],"applied":[49],"model":[52],"visuomotor":[54],"adaptation":[55],"analyze":[57],"boundedness":[58],"solutions":[60],"when":[61],"visual":[63],"error":[64],"measurement":[65],"is":[66],"intermittent.":[67]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
