{"id":"https://openalex.org/W2102267024","doi":"https://doi.org/10.1109/cdc.2010.5717854","title":"Local decomposition and accessibility of PDE systems","display_name":"Local decomposition and accessibility of PDE systems","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2102267024","doi":"https://doi.org/10.1109/cdc.2010.5717854","mag":"2102267024"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717854","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717854","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/A5090762130","display_name":"Karl Rieger","orcid":null},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Karl Rieger","raw_affiliation_strings":["Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Linz, Austria","Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Altenberger Strasse 69, 4040, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Altenberger Strasse 69, 4040, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063690895","display_name":"Markus Sch\u00f6berl","orcid":null},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Markus Schoberl","raw_affiliation_strings":["Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Linz, Austria","Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Altenberger Strasse 69, 4040, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Altenberger Strasse 69, 4040, Austria","institution_ids":["https://openalex.org/I121883995"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012161132","display_name":"Kurt Schlacher","orcid":null},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Kurt Schlacher","raw_affiliation_strings":["Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Linz, Austria","Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Altenberger Strasse 69, 4040, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Linz, Austria","institution_ids":["https://openalex.org/I121883995"]},{"raw_affiliation_string":"Institute of Automatic Control and Control Systems Technology, Johannes Kepler University Linz, Altenberger Strasse 69, 4040, Austria","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3435,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.64274358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"1","issue":null,"first_page":"6271","last_page":"6276"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9966999888420105,"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"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9966999888420105,"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"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6731246709823608},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.6511958837509155},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5856539011001587},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.5744283199310303},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5573267936706543},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5407770276069641},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5139038562774658},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.48670342564582825},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4558710753917694},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.40836894512176514},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3481004536151886},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.33540570735931396},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20330718159675598},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12857308983802795},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11593687534332275},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.09402850270271301},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07505318522453308}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6731246709823608},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.6511958837509155},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5856539011001587},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.5744283199310303},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5573267936706543},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5407770276069641},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5139038562774658},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.48670342564582825},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4558710753917694},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.40836894512176514},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3481004536151886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.33540570735931396},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20330718159675598},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12857308983802795},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11593687534332275},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.09402850270271301},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07505318522453308},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2010.5717854","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717854","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W188365441","https://openalex.org/W1513060653","https://openalex.org/W1533668960","https://openalex.org/W1538686203","https://openalex.org/W1569017328","https://openalex.org/W1581563506","https://openalex.org/W1587069887","https://openalex.org/W1594505316","https://openalex.org/W1604226557","https://openalex.org/W1887006513","https://openalex.org/W1964373008","https://openalex.org/W2046883115","https://openalex.org/W2073481278","https://openalex.org/W2120706034","https://openalex.org/W2167924593","https://openalex.org/W3160954918","https://openalex.org/W4292872153","https://openalex.org/W6607641033","https://openalex.org/W6636164299","https://openalex.org/W6662358359"],"related_works":["https://openalex.org/W2371448224","https://openalex.org/W3134495997","https://openalex.org/W2363680170","https://openalex.org/W2376428685","https://openalex.org/W4256082577","https://openalex.org/W625783435","https://openalex.org/W2048742619","https://openalex.org/W2384641672","https://openalex.org/W2742179975","https://openalex.org/W3192449753"],"abstract_inverted_index":{"The":[0],"local":[1,25,41,53,120],"decomposition":[2,54,84,121],"of":[3,13,27,55,68,85,122],"(nonlinear)":[4,56],"ODE":[5],"systems,":[6],"which":[7],"is":[8,31,44,62],"obtained":[9],"in":[10,33,65],"the":[11,18,28,34,40,52,66,73,83,86,99,113,119,134],"presence":[12,67],"a":[14,69,79,123],"codistribution":[15,70],"invariant":[16,71],"under":[17,72,89],"system":[19,76,125],"vector":[20,77],"field":[21,78],"and":[22,36,105],"an":[23],"associated":[24],"partition":[26],"underlying":[29],"manifold,":[30],"well-studied":[32],"literature,":[35],"its":[37],"relevance":[38],"w.r.t.":[39],"accessibility":[42,114],"problem":[43],"indisputable.":[45],"In":[46,59,95],"this":[47],"contribution":[48],"we":[49,97],"focus":[50],"on":[51],"PDE":[57],"systems.":[58],"particular,":[60],"it":[61],"shown":[63],"that":[64,106],"so-called":[74],"generalized":[75],"triangular":[80],"decomposition,":[81],"including":[82],"boundary":[87],"conditions":[88,117],"certain":[90],"conditions,":[91],"can":[92,109],"be":[93,110],"obtained.":[94],"addition,":[96],"highlight":[98],"geometric":[100],"picture":[101],"behind":[102],"our":[103],"approach":[104],"these":[107],"results":[108],"applied":[111],"to":[112],"problem,":[115],"where":[116],"for":[118],"(non-accessible)":[124],"into":[126],"subsystems":[127],"are":[128],"provided.":[129],"A":[130],"nonlinear":[131],"example":[132],"illustrates":[133],"results.":[135]},"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}