{"id":"https://openalex.org/W2100497421","doi":"https://doi.org/10.1109/cdc.2010.5716952","title":"On parameterized Lyapunov and control Lyapunov functions for discrete-time systems","display_name":"On parameterized Lyapunov and control Lyapunov functions for discrete-time systems","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2100497421","doi":"https://doi.org/10.1109/cdc.2010.5716952","mag":"2100497421"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5716952","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5716952","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","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/A5045512282","display_name":"Mircea Lazar","orcid":"https://orcid.org/0000-0003-4338-9004"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Mircea Lazar","raw_affiliation_strings":["Department of Electrical Engineering, Eindhovan University of Technology, Netherlands","Dept. of Electrical Engineering, Eindhoven University of Technology, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Eindhovan University of Technology, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Dept. of Electrical Engineering, Eindhoven University of Technology, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025383822","display_name":"Rob H. Gielen","orcid":null},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Rob Gielen","raw_affiliation_strings":["Department of Electrical Engineering, Eindhovan University of Technology, Netherlands","Dept. of Electrical Engineering, Eindhoven University of Technology, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Eindhovan University of Technology, Netherlands","institution_ids":["https://openalex.org/I83019370"]},{"raw_affiliation_string":"Dept. of Electrical Engineering, Eindhoven University of Technology, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045512282"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":null,"apc_paid":null,"fwci":2.8904,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.91758131,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"284","issue":null,"first_page":"3264","last_page":"3270"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998000264167786,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998000264167786,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9990000128746033,"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/T11236","display_name":"Control Systems and Identification","score":0.9987000226974487,"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/parameterized-complexity","display_name":"Parameterized complexity","score":0.8601780533790588},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.8256946802139282},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.7610249519348145},{"id":"https://openalex.org/keywords/lyapunov-optimization","display_name":"Lyapunov optimization","score":0.6802072525024414},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.6576535105705261},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6391028165817261},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5948905348777771},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5421245694160461},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.4973032772541046},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.496756374835968},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.46453291177749634},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.43754419684410095},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38778156042099},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38276514410972595},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.377470999956131},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2779196500778198},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18231233954429626},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14178359508514404}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8601780533790588},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.8256946802139282},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.7610249519348145},{"id":"https://openalex.org/C101403955","wikidata":"https://www.wikidata.org/wiki/Q6707083","display_name":"Lyapunov optimization","level":5,"score":0.6802072525024414},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.6576535105705261},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6391028165817261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5948905348777771},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5421245694160461},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.4973032772541046},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.496756374835968},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.46453291177749634},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.43754419684410095},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38778156042099},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38276514410972595},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.377470999956131},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2779196500778198},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18231233954429626},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14178359508514404},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2010.5716952","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5716952","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/06aae351-84de-419a-9538-b6330ea25024","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/06aae351-84de-419a-9538-b6330ea25024","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lazar, M & Gielen, R H 2010, On parameterized Lyapunov and control Lyapunov functions for discrete-time systems. in Proceedings of the 49th IEEE Conference on Decision and Control [CDC] , 15-17 December 2010, Atlanta. Institute of Electrical and Electronics Engineers, Atlanta, GA, pp. 3264-, 49th IEEE Conference on Decision and Control (CDC 2010), Atlanta, Georgia, United States, 15/12/10. https://doi.org/10.1109/CDC.2010.5716952","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:tue:oai:pure.tue.nl:publications/06aae351-84de-419a-9538-b6330ea25024","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/06aae351-84de-419a-9538-b6330ea25024","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Proceedings of the 49th IEEE Conference on Decision and Control [CDC] , 15-17 December 2010, Atlanta","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1571966798","https://openalex.org/W1855336155","https://openalex.org/W1880805667","https://openalex.org/W1971140944","https://openalex.org/W1996952488","https://openalex.org/W2023126268","https://openalex.org/W2031096847","https://openalex.org/W2038137192","https://openalex.org/W2042994047","https://openalex.org/W2054136677","https://openalex.org/W2058935279","https://openalex.org/W2072192072","https://openalex.org/W2080106578","https://openalex.org/W2081132246","https://openalex.org/W2103511860","https://openalex.org/W2103625164","https://openalex.org/W2105164082","https://openalex.org/W2116680678","https://openalex.org/W2140531311","https://openalex.org/W2143447452","https://openalex.org/W2146876570","https://openalex.org/W2150553814","https://openalex.org/W2152696265","https://openalex.org/W2162053828","https://openalex.org/W2341760258","https://openalex.org/W6675715654"],"related_works":["https://openalex.org/W2383986032","https://openalex.org/W2534107666","https://openalex.org/W2349796700","https://openalex.org/W3217133416","https://openalex.org/W1983507234","https://openalex.org/W3194517843","https://openalex.org/W2164487476","https://openalex.org/W2118944249","https://openalex.org/W1979419366","https://openalex.org/W3102460617"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,74],"the":[4,51,62,101],"existence":[5],"and":[6,105],"synthesis":[7],"of":[8,32,45,100],"parameterized-(control)":[9],"Lyapunov":[10,56,72],"functions":[11,73],"(p-(C)LFs)":[12],"for":[13,87,90],"discrete-time":[14,91],"nonlinear":[15,92],"systems":[16,93],"that":[17,50,61],"are":[18,82,94],"possibly":[19],"subject":[20],"to":[21,34],"constraints.":[22],"A":[23,38],"p-LF":[24,53],"is":[25,47,59],"obtained":[26],"by":[27],"associating":[28],"a":[29,35,75,109],"finite":[30],"set":[31],"parameters":[33],"standard":[36,55],"LF.":[37],"set-valued":[39],"map,":[40],"which":[41],"generates":[42],"admissible":[43],"sets":[44],"parameters,":[46],"defined":[48],"such":[49,78],"corresponding":[52],"enjoys":[54],"properties.":[57],"It":[58],"demonstrated":[60],"so-obtained":[63],"p-LFs":[64],"offer":[65],"non-conservative":[66],"stability":[67],"analysis":[68],"conditions,":[69],"even":[70],"when":[71],"particular":[76],"structure,":[77],"as":[79],"quadratic":[80],"forms,":[81],"considered.":[83],"Furthermore,":[84],"possible":[85],"methods":[86,97],"synthesizing":[88],"p-CLFs":[89],"discussed.":[95],"These":[96],"make":[98],"use":[99],"receding":[102],"horizon":[103],"principle":[104],"require":[106],"solving":[107],"on-line":[108],"low-complexity":[110],"convex":[111],"optimization":[112],"problem.":[113]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
