{"id":"https://openalex.org/W1645105144","doi":"https://doi.org/10.1109/icsmc.2003.1243814","title":"Modeling of hybrid systems by piecewise decomposition","display_name":"Modeling of hybrid systems by piecewise decomposition","publication_year":2004,"publication_date":"2004-06-22","ids":{"openalex":"https://openalex.org/W1645105144","doi":"https://doi.org/10.1109/icsmc.2003.1243814","mag":"1645105144"},"language":"en","primary_location":{"id":"doi:10.1109/icsmc.2003.1243814","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2003.1243814","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483)","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/A5110690463","display_name":"Santiago Esteva","orcid":null},"institutions":[{"id":"https://openalex.org/I251424209","display_name":"Universitat de Girona","ror":"https://ror.org/01xdxns91","country_code":"ES","type":"education","lineage":["https://openalex.org/I251424209"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"S. Esteva","raw_affiliation_strings":["Universitat de Girona, Girona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat de Girona, Girona, Spain","institution_ids":["https://openalex.org/I251424209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019219425","display_name":"Josep Llu\u00eds de la Rosa","orcid":"https://orcid.org/0000-0003-1412-4170"},"institutions":[{"id":"https://openalex.org/I251424209","display_name":"Universitat de Girona","ror":"https://ror.org/01xdxns91","country_code":"ES","type":"education","lineage":["https://openalex.org/I251424209"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J.L. de la Rosa","raw_affiliation_strings":["Universitat de Girona, Girona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universitat de Girona, Girona, Spain","institution_ids":["https://openalex.org/I251424209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089716427","display_name":"Naly Rakoto\u2013Ravalontsalama","orcid":"https://orcid.org/0000-0002-5798-0359"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N. Rakoto-Ravalontsalama","raw_affiliation_strings":["IRCCyN, Ecole des Mines de Nantes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRCCyN, Ecole des Mines de Nantes, France","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09198176,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"195","last_page":"198"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9987999796867371,"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/T11236","display_name":"Control Systems and Identification","score":0.9987999796867371,"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":0.998199999332428,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9927999973297119,"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/partition","display_name":"Partition (number theory)","score":0.6668464541435242},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.6073331832885742},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5692858695983887},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5589644312858582},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5256600975990295},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.5135229229927063},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4511151611804962},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.45066723227500916},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4408940076828003},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4349658489227295},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.43257129192352295},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4318544268608093},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.42792218923568726},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.40324530005455017},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37947359681129456},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3425646722316742},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.07907003164291382},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07066941261291504}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6668464541435242},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.6073331832885742},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5692858695983887},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5589644312858582},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5256600975990295},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.5135229229927063},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4511151611804962},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.45066723227500916},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4408940076828003},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4349658489227295},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.43257129192352295},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4318544268608093},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.42792218923568726},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.40324530005455017},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37947359681129456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3425646722316742},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.07907003164291382},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07066941261291504},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/icsmc.2003.1243814","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsmc.2003.1243814","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483)","raw_type":"proceedings-article"},{"id":"pmh:oai:dnet:dugidocsuniv::2b4f848dadda7dbd43f1fe87f12182eb","is_oa":false,"landing_page_url":"http://hdl.handle.net/10256/2593","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:www.mdx.cat:10503/53776","is_oa":false,"landing_page_url":"http://doi.org/10.1109/ICSMC.2003.1243814","pdf_url":null,"source":{"id":"https://openalex.org/S4306400303","display_name":"Repositori UJI (Universitat Jaume I)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I10902133","host_organization_name":"Universitat Jaume I","host_organization_lineage":["https://openalex.org/I10902133"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1590535836","https://openalex.org/W1855336155","https://openalex.org/W2007093507","https://openalex.org/W2015848489","https://openalex.org/W2037568172","https://openalex.org/W2072508748","https://openalex.org/W2079325629","https://openalex.org/W2080533504","https://openalex.org/W2154182108","https://openalex.org/W6639104331","https://openalex.org/W6669417481"],"related_works":["https://openalex.org/W2791506211","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W4256182627","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2908135648"],"abstract_inverted_index":{"Piecewise":[0],"linear":[1,67],"models":[2,7],"systems":[3,9,29],"arise":[4],"as":[5,64],"mathematical":[6],"of":[8,25,52,79],"in":[10,56],"many":[11],"practical":[12],"applications,":[13],"often":[14],"from":[15],"linearization":[16],"for":[17,94],"nonlinear":[18],"systems.":[19],"There":[20],"are":[21],"two":[22],"main":[23],"approaches":[24],"dealing":[26,95],"with":[27,96],"these":[28],"according":[30],"to":[31],"their":[32],"continuous":[33],"or":[34],"discrete-time":[35],"aspects.":[36],"We":[37],"propose":[38],"an":[39],"approach":[40],"which":[41,75],"is":[42,62,76,82,92],"based":[43],"on":[44],"the":[45,50,53,72,89],"state":[46],"transformation,":[47],"more":[48],"particularly":[49],"partition":[51,91],"phase":[54],"portrait":[55],"different":[57],"regions":[58],"where":[59],"each":[60],"subregion":[61],"modeled":[63],"a":[65,77,98],"two-dimensional":[66],"time":[68],"invariant":[69],"system.":[70,99],"Then":[71],"Takagi-Sugeno":[73],"model,":[74],"combination":[78],"local":[80],"model":[81],"calculated.":[83],"The":[84],"simulation":[85],"results":[86],"show":[87],"that":[88],"Alpha":[90],"well-suited":[93],"such":[97]},"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}