{"id":"https://openalex.org/W1560513830","doi":"https://doi.org/10.23919/ecc.2003.7086436","title":"A combinatorial approach to the (positive) reachability of 2D positive systems","display_name":"A combinatorial approach to the (positive) reachability of 2D positive systems","publication_year":2003,"publication_date":"2003-09-01","ids":{"openalex":"https://openalex.org/W1560513830","doi":"https://doi.org/10.23919/ecc.2003.7086436","mag":"1560513830"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2003.7086436","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2003.7086436","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 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/A5052499537","display_name":"Ettore Fornasini","orcid":null},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"E. Fornasini","raw_affiliation_strings":["Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 di Padova, via Gradenigo 6B, 35131 Padova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 di Padova, via Gradenigo 6B, 35131 Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064493313","display_name":"Maria Elena Valcher","orcid":"https://orcid.org/0000-0002-7595-3688"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M.E. Valcher","raw_affiliation_strings":["Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 di Padova, via Gradenigo 6B, 35131 Padova, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 di Padova, via Gradenigo 6B, 35131 Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"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":0.0532001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2619","last_page":"2624"},"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":0.9972000122070312,"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":0.9972000122070312,"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":0.994700014591217,"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/T10142","display_name":"Formal Methods in Verification","score":0.9829999804496765,"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/reachability","display_name":"Reachability","score":0.9687376022338867},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5773985385894775},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.5633620023727417},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5417407751083374},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4840075671672821},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46769002079963684},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.46070754528045654},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4528343677520752},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36155450344085693},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3279881477355957}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9687376022338867},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5773985385894775},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.5633620023727417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5417407751083374},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4840075671672821},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46769002079963684},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.46070754528045654},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4528343677520752},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36155450344085693},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3279881477355957},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.23919/ecc.2003.7086436","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2003.7086436","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2003 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:www.research.unipd.it:11577/2430867","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/2430867","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W949202834","https://openalex.org/W1500921805","https://openalex.org/W1985697760","https://openalex.org/W1988787397","https://openalex.org/W2031993719","https://openalex.org/W2032458798","https://openalex.org/W2079961936","https://openalex.org/W2084186311","https://openalex.org/W2114970097","https://openalex.org/W2732189876"],"related_works":["https://openalex.org/W2127267268","https://openalex.org/W2156446763","https://openalex.org/W2136512912","https://openalex.org/W2067910792","https://openalex.org/W2150194458","https://openalex.org/W2143461633","https://openalex.org/W2889071233","https://openalex.org/W4321471459","https://openalex.org/W4221156924","https://openalex.org/W2380814829"],"abstract_inverted_index":{"Local":[0],"reachability":[1,70,80],"of":[2,9,18,33,54],"two-dimensional":[3],"(2D)":[4],"positive":[5,10,31],"systems,":[6],"by":[7],"means":[8],"scalar":[11,37],"inputs,":[12],"is":[13],"addressed.":[14],"The":[15],"combinatorial":[16],"nature":[17],"this":[19],"property":[20],"allows":[21],"for":[22,68],"a":[23,42],"graph":[24,45],"theoretic":[25],"approach.":[26],"Indeed,":[27],"to":[28],"every":[29],"2D":[30,43],"system":[32],"dimension":[34],"n":[35,47],"with":[36,46,65],"inputs":[38],"one":[39,49],"can":[40],"associate":[41],"influence":[44],"vertices,":[48],"source":[50,58],"and":[51,59,75],"two":[52],"types":[53],"arcs":[55],"interconnecting":[56],"the":[57,60,79],"vertices.":[61],"Some":[62],"results":[63],"concerned":[64],"equivalent":[66],"conditions":[67],"local":[69],"as":[71,73],"well":[72],"upper":[74],"lower":[76],"bounds":[77],"on":[78],"indices":[81],"are":[82],"provided.":[83]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}