{"id":"https://openalex.org/W2098851470","doi":"https://doi.org/10.1109/acc.2005.1470018","title":"On the stability of quadratic forms based model predictive control of constrained PWA systems","display_name":"On the stability of quadratic forms based model predictive control of constrained PWA systems","publication_year":2005,"publication_date":"2005-08-10","ids":{"openalex":"https://openalex.org/W2098851470","doi":"https://doi.org/10.1109/acc.2005.1470018","mag":"2098851470"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2005.1470018","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2005.1470018","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005, American Control Conference, 2005.","raw_type":"proceedings-article"},"type":"conference-paper","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":false,"raw_author_name":"M. Lazar","raw_affiliation_strings":["Department of Electrical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063241688","display_name":"W.P.M.H. Heemels","orcid":"https://orcid.org/0000-0003-3440-8007"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"W.P.M.H. Heemels","raw_affiliation_strings":["Embedded Systems Institute, Eindhoven, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Embedded Systems Institute, Eindhoven, Netherlands","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006584942","display_name":"S. Weiland","orcid":"https://orcid.org/0000-0002-6131-4658"},"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":"S. Weiland","raw_affiliation_strings":["Department of Electrical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Eindhovan University of Technology, Eindhoven, Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053340099","display_name":"Alberto Bemporad","orcid":"https://orcid.org/0000-0001-6761-0856"},"institutions":[{"id":"https://openalex.org/I102064193","display_name":"University of Siena","ror":"https://ror.org/01tevnk56","country_code":"IT","type":"education","lineage":["https://openalex.org/I102064193"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Bemporad","raw_affiliation_strings":["Dipartimento di Ingegneria dellInformazione, Universit\u00e1 di Siena, Siena, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dellInformazione, Universit\u00e1 di Siena, Siena, Italy","institution_ids":["https://openalex.org/I102064193"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.9526,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.95745131,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"575","last_page":"580"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9959999918937683,"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/T10409","display_name":"Fuel Cells and Related Materials","score":0.992900013923645,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/model-predictive-control","display_name":"Model predictive control","score":0.7239775657653809},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6732721924781799},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.6333887577056885},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6056514382362366},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5961682200431824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.538642406463623},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.49986743927001953},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48914197087287903},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.48002758622169495},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4748946726322174},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.44360607862472534},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.41594475507736206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33728113770484924},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11645358800888062},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10318994522094727}],"concepts":[{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.7239775657653809},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6732721924781799},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6333887577056885},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6056514382362366},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5961682200431824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.538642406463623},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.49986743927001953},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48914197087287903},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.48002758622169495},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4748946726322174},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.44360607862472534},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.41594475507736206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33728113770484924},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11645358800888062},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10318994522094727},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/acc.2005.1470018","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2005.1470018","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005, American Control Conference, 2005.","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.tue.nl:publications/9f7c11a9-52a8-45e6-8ba3-ca47e4600974","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/9f7c11a9-52a8-45e6-8ba3-ca47e4600974","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, Heemels, W P M H, Weiland, S & Bemporad, A 2005, On the stability of quadratic forms based on Model Predictive Control of constrained PWA systems. in Proc. American Control Conference 2005. Portland, USA, pp. 575-580, 2005 American Control Conference (ACC 2005), June 8-10, 2005, Portland, OR, USA, Portland, OR, United States, 8/06/05.","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.189.633","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.189.633","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ele.tue.nl/MLazar/ACC2005paper.pdf","raw_type":"text"},{"id":"pmh:tue:oai:pure.tue.nl:publications/9f7c11a9-52a8-45e6-8ba3-ca47e4600974","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/9f7c11a9-52a8-45e6-8ba3-ca47e4600974","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":"Proc. American Control Conference 2005, 575 - 580","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W42290768","https://openalex.org/W1536946256","https://openalex.org/W1592497244","https://openalex.org/W1977985274","https://openalex.org/W1978956894","https://openalex.org/W2023599497","https://openalex.org/W2072508748","https://openalex.org/W2102098378","https://openalex.org/W2127067432","https://openalex.org/W2129492921","https://openalex.org/W2132832958","https://openalex.org/W2799194656","https://openalex.org/W6601740359"],"related_works":["https://openalex.org/W2080896647","https://openalex.org/W2025587901","https://openalex.org/W3009543351","https://openalex.org/W2028217664","https://openalex.org/W2158000646","https://openalex.org/W2080426547","https://openalex.org/W2886734572","https://openalex.org/W1852236601","https://openalex.org/W2164703465","https://openalex.org/W2168383058"],"abstract_inverted_index":{"In":[0,113],"this":[1,114],"paper":[2],"we":[3,22],"investigate":[4],"the":[5,41,46,51,79,94,116],"stability":[6,36],"of":[7,78],"discrete-time":[8],"PWA":[9,108],"systems":[10,109],"in":[11,90],"closed-loop":[12,42],"with":[13,121],"quadratic":[14,128],"cost":[15,65],"based":[16],"model":[17],"predictive":[18],"controllers":[19],"(MPC)":[20],"and":[21,50,66,82],"derive":[23],"a":[24,63,83,125],"priori":[25],"sufficient":[26],"conditions":[27,59,81],"for":[28,40,100,107],"Lyapunov":[29,35,48],"asymptotic":[30],"stability.":[31],"We":[32],"prove":[33],"that":[34],"can":[37,132],"be":[38,133],"achieved":[39],"system":[43,52],"even":[44],"though":[45],"considered":[47],"function":[49],"dynamics":[53],"may":[54],"he":[55],"discontinuous.":[56],"The":[57],"stabilization":[58,80],"are":[60],"derived":[61],"using":[62],"terminal":[64,95],"constraint":[67],"set":[68],"method.":[69],"An":[70],"S-procedure":[71],"technique":[72],"is":[73,88,110],"employed":[74],"to":[75,92,124],"reduce":[76],"conservativeness":[77],"linear":[84],"matrix":[85],"inequalities":[86],"set-up":[87],"developed":[89],"order":[91],"calculate":[93],"cost.":[96],"A":[97],"new":[98],"algorithm":[99],"computing":[101],"piecewise":[102],"polyhedral":[103],"positively":[104],"invariant":[105],"sets":[106],"also":[111],"presented.":[112],"manner,":[115],"on-line":[117],"optimization":[118,137],"problem":[119],"associated":[120],"MPC":[122],"leads":[123],"mixed":[126],"integer":[127],"programming":[129],"problem,":[130],"which":[131],"solved":[134],"by":[135],"standard":[136],"tools.":[138]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}