{"id":"https://openalex.org/W2574958673","doi":"https://doi.org/10.1109/ecc.2016.7810435","title":"Equivalence of regular matrix pencil DAE systems by bisimulation","display_name":"Equivalence of regular matrix pencil DAE systems by bisimulation","publication_year":2016,"publication_date":"2016-06-01","ids":{"openalex":"https://openalex.org/W2574958673","doi":"https://doi.org/10.1109/ecc.2016.7810435","mag":"2574958673"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2016.7810435","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2016.7810435","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 European Control Conference (ECC)","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/A5003011729","display_name":"Noorma Yulia Megawati","orcid":"https://orcid.org/0000-0003-4256-7497"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Noorma Yulia Megawati","raw_affiliation_strings":["Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005018540","display_name":"Arjan van der Schaft","orcid":"https://orcid.org/0000-0002-2383-9234"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Arjan van der Schaft","raw_affiliation_strings":["Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003011729"],"corresponding_institution_ids":["https://openalex.org/I169381384"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1890757,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"1093","last_page":"1098"},"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":0.9983999729156494,"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":0.9983999729156494,"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":0.9977999925613403,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bisimulation","display_name":"Bisimulation","score":0.8386346101760864},{"id":"https://openalex.org/keywords/pencil","display_name":"Pencil (optics)","score":0.7098454236984253},{"id":"https://openalex.org/keywords/matrix-pencil","display_name":"Matrix pencil","score":0.6934759616851807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6158780455589294},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.547032356262207},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5344938635826111},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5157089829444885},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5053454041481018},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.4726896584033966},{"id":"https://openalex.org/keywords/state-transition-matrix","display_name":"State-transition matrix","score":0.43105411529541016},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3327363133430481},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.22680070996284485},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.19469863176345825},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.19178080558776855},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14158910512924194},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.10674577951431274},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09522512555122375}],"concepts":[{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.8386346101760864},{"id":"https://openalex.org/C134949993","wikidata":"https://www.wikidata.org/wiki/Q2068617","display_name":"Pencil (optics)","level":2,"score":0.7098454236984253},{"id":"https://openalex.org/C1576492","wikidata":"https://www.wikidata.org/wiki/Q3739929","display_name":"Matrix pencil","level":3,"score":0.6934759616851807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6158780455589294},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.547032356262207},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5344938635826111},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5157089829444885},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5053454041481018},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.4726896584033966},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.43105411529541016},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3327363133430481},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.22680070996284485},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.19469863176345825},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.19178080558776855},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14158910512924194},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.10674577951431274},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09522512555122375},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ecc.2016.7810435","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2016.7810435","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:rug:oai:pure.rug.nl:publications/ae83aa6c-f89a-4071-abcc-24f4ed31a434","is_oa":false,"landing_page_url":"https://research.rug.nl/en/publications/ae83aa6c-f89a-4071-abcc-24f4ed31a434","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":"STARTPAGE=1093;ENDPAGE=1098;TITLE=European Control Conference","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":15,"referenced_works":["https://openalex.org/W139775803","https://openalex.org/W140171815","https://openalex.org/W151868298","https://openalex.org/W1556970733","https://openalex.org/W1979300682","https://openalex.org/W1980044969","https://openalex.org/W1980232236","https://openalex.org/W2070623399","https://openalex.org/W2090771707","https://openalex.org/W2096603442","https://openalex.org/W2109080678","https://openalex.org/W2159151607","https://openalex.org/W2163870459","https://openalex.org/W2175507072","https://openalex.org/W4254742956"],"related_works":["https://openalex.org/W2047937394","https://openalex.org/W2330447052","https://openalex.org/W4387938021","https://openalex.org/W2390920986","https://openalex.org/W3138597860","https://openalex.org/W1992815519","https://openalex.org/W4289785680","https://openalex.org/W2921546612","https://openalex.org/W2116399163","https://openalex.org/W4383175373"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,73],"define":[4],"the":[5,23,28,31,35,47,59,69,75,88,98,101],"notion":[6,76],"of":[7,25,27,34,77,91],"bisimulation":[8,78,94],"relations":[9,95],"for":[10],"DAE":[11,36,85],"systems":[12],"having":[13],"a":[14,53,64],"regular":[15,82],"matrix":[16,29,83],"pencil.":[17],"It":[18],"is":[19],"well-known":[20],"that":[21],"under":[22],"assumption":[24],"regularity":[26],"pencil":[30,84],"state":[32],"vector":[33],"system":[37],"can":[38],"be":[39],"split":[40],"into":[41],"two":[42,81,92],"parts:":[43],"one":[44,61],"corresponding":[45,51,70,96],"to":[46,52,63,97],"\u201cordinary\u201d":[48],"input-state-output":[49],"behavior":[50],"standard":[54],"proper":[55],"transfer":[56,66],"matrix,":[57],"and":[58,100],"other":[60],"related":[62],"polynomial":[65],"matrix.":[67],"Employing":[68],"Wong":[71],"sequences,":[72],"develop":[74],"relation":[79],"between":[80],"systems,":[86],"being":[87],"direct":[89],"product":[90],"partial":[93],"fast":[99],"slow":[102],"subsystems.":[103]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}