{"id":"https://openalex.org/W2004052534","doi":"https://doi.org/10.1137/090776950","title":"Analysis of Discrete-Time Linear Switched Systems: A Variational Approach","display_name":"Analysis of Discrete-Time Linear Switched Systems: A Variational Approach","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2004052534","doi":"https://doi.org/10.1137/090776950","mag":"2004052534"},"language":"en","primary_location":{"id":"doi:10.1137/090776950","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090776950","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5085215747","display_name":"Tal Monovich","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tal Monovich","raw_affiliation_strings":["tal.mnv@gmail.com#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"tal.mnv@gmail.com#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074869481","display_name":"Michael Margaliot","orcid":"https://orcid.org/0000-0001-8319-8996"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michael Margaliot","raw_affiliation_strings":["michaelm@eng.tau.ac.il#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"michaelm@eng.tau.ac.il#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.0169,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.98603092,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"49","issue":"2","first_page":"808","last_page":"829"},"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":0.9995999932289124,"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":0.9995999932289124,"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":0.9966999888420105,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.994700014591217,"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/mathematics","display_name":"Mathematics","score":0.8433893918991089},{"id":"https://openalex.org/keywords/variational-analysis","display_name":"Variational analysis","score":0.4461739659309387},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43573105335235596},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.41549697518348694},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3479135036468506},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.336693674325943},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.33527156710624695},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1390639841556549},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10575124621391296},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08248621225357056}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8433893918991089},{"id":"https://openalex.org/C523394659","wikidata":"https://www.wikidata.org/wiki/Q17086892","display_name":"Variational analysis","level":2,"score":0.4461739659309387},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43573105335235596},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.41549697518348694},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3479135036468506},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.336693674325943},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.33527156710624695},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1390639841556549},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10575124621391296},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08248621225357056},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/090776950","is_oa":false,"landing_page_url":"https://doi.org/10.1137/090776950","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.298.7513","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.298.7513","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.eng.tau.ac.il/~michaelm/tal1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7599999904632568,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1971657878","https://openalex.org/W1991656001","https://openalex.org/W2003071328","https://openalex.org/W2006752005","https://openalex.org/W2011373950","https://openalex.org/W2021396103","https://openalex.org/W2032155003","https://openalex.org/W2038636226","https://openalex.org/W2077219618","https://openalex.org/W2084970142","https://openalex.org/W2093818546","https://openalex.org/W2101747560","https://openalex.org/W2102347640","https://openalex.org/W2112206897","https://openalex.org/W2116845400","https://openalex.org/W2121670568","https://openalex.org/W2121843676","https://openalex.org/W2126825123","https://openalex.org/W2129324915","https://openalex.org/W2130445615","https://openalex.org/W2140780564","https://openalex.org/W2143181390","https://openalex.org/W2143810732","https://openalex.org/W2145030746","https://openalex.org/W2147550064","https://openalex.org/W2148411251","https://openalex.org/W2152185829","https://openalex.org/W2161985387","https://openalex.org/W2164779921","https://openalex.org/W2176339628","https://openalex.org/W4206042551","https://openalex.org/W4249693974"],"related_works":["https://openalex.org/W1973641256","https://openalex.org/W2089274067","https://openalex.org/W56994397","https://openalex.org/W1121942432","https://openalex.org/W2418069309","https://openalex.org/W2376158287","https://openalex.org/W1526165314","https://openalex.org/W2359859943","https://openalex.org/W2591547446","https://openalex.org/W2158584448"],"abstract_inverted_index":{"A":[0],"powerful":[1],"approach":[2,52,78],"for":[3,40,60,79,91,146,153],"analyzing":[4,38],"the":[5,22,29,41,94,129,147,154],"stability":[6,33,39],"of":[7,31,93,103,132,143],"continuous-time":[8,65,122,185],"switched":[9,66,82,136,158],"systems":[10],"is":[11,116],"based":[12],"on":[13],"using":[14],"tools":[15],"from":[16,183],"optimal":[17],"control":[18],"theory":[19],"to":[20,37,56,179],"characterize":[21],"\u201cmost":[23,43,95],"unstable\u201d":[24,44,96],"switching":[25,36,45,97],"law.":[26,46,98],"This":[27,99],"reduces":[28],"problem":[30],"determining":[32],"under":[34],"arbitrary":[35],"specific":[42],"More":[47],"generally,":[48],"this":[49,74,114,161],"so-called":[50],"variational":[51],"was":[53],"successfully":[54],"applied":[55],"derive":[57,85,164],"nice-reachability-type":[58],"results":[59,152],"both":[61],"linear":[62,81,135,157],"and":[63,86,138,174],"nonlinear":[64],"systems.":[67,83],"Motivated":[68],"by":[69,110],"this,":[70,126],"we":[71,127,163],"develop":[72],"in":[73,117],"paper":[75],"an":[76,111],"analogous":[77],"discrete-time":[80,104,134,156],"We":[84,108],"prove":[87],"a":[88,101,133],"necessary":[89],"condition":[90],"optimality":[92],"yields":[100],"type":[102],"maximum":[105],"principle":[106],"(MP).":[107],"demonstrate":[109],"example":[112],"that":[113,140],"MP":[115],"fact":[118],"weaker":[119],"than":[120],"its":[121],"counterpart.":[123],"To":[124],"overcome":[125],"introduce":[128],"auxiliary":[130,148],"system":[131,137,149],"show":[139],"regularity":[141],"properties":[142],"time-optimal":[144],"controls":[145],"imply":[150],"nice-reachability":[151,170],"original":[155],"system.":[159],"Using":[160],"approach,":[162],"several":[165],"new":[166],"Lie-algebraic":[167],"conditions":[168],"guaranteeing":[169],"results.":[171],"These":[172],"results,":[173],"their":[175,184],"proofs,":[176],"turn":[177],"out":[178],"be":[180],"quite":[181],"different":[182],"counterparts.":[186]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}