{"id":"https://openalex.org/W2108552144","doi":"https://doi.org/10.1109/acc.2002.1025383","title":"Monomial decomposition of reachable and controllable positive linear systems","display_name":"Monomial decomposition of reachable and controllable positive linear systems","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2108552144","doi":"https://doi.org/10.1109/acc.2002.1025383","mag":"2108552144"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2002.1025383","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2002.1025383","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)","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/A5085341518","display_name":"Rafael Bru","orcid":"https://orcid.org/0000-0003-1123-5617"},"institutions":[{"id":"https://openalex.org/I60053951","display_name":"Universitat Polit\u00e8cnica de Val\u00e8ncia","ror":"https://ror.org/01460j859","country_code":"ES","type":"education","lineage":["https://openalex.org/I60053951"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"R. Bru","raw_affiliation_strings":["Department de Matematica Aplicada, University Polit\u00e9cnica de Valencia, Valencia, Spain"],"affiliations":[{"raw_affiliation_string":"Department de Matematica Aplicada, University Polit\u00e9cnica de Valencia, Valencia, Spain","institution_ids":["https://openalex.org/I60053951"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063625697","display_name":"Louis Caccetta","orcid":"https://orcid.org/0000-0003-2405-2721"},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"L. Caccetta","raw_affiliation_strings":["Department of Mathematics, School of Applied Science, Curtin University of Technology, Perth, WA, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Applied Science, Curtin University of Technology, Perth, WA, Australia","institution_ids":["https://openalex.org/I205640436"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112301493","display_name":"Ventseslav Rumchev","orcid":null},"institutions":[{"id":"https://openalex.org/I205640436","display_name":"Curtin University","ror":"https://ror.org/02n415q13","country_code":"AU","type":"education","lineage":["https://openalex.org/I205640436"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"V.G. Rumchev","raw_affiliation_strings":["Department of Mathematics, School of Applied Science, Curtin University of Technology, Perth, WA, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Applied Science, Curtin University of Technology, Perth, WA, Australia","institution_ids":["https://openalex.org/I205640436"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085341518"],"corresponding_institution_ids":["https://openalex.org/I60053951"],"apc_list":null,"apc_paid":null,"fwci":0.3388,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57779086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4620","last_page":"4625 vol.6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987000226974487,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9987000226974487,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9958999752998352,"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"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9937999844551086,"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/monomial","display_name":"Monomial","score":0.8787637948989868},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.8782107830047607},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.7864375710487366},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.7088258862495422},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6939853429794312},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5945988297462463},{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.55008864402771},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.5335555076599121},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5121746063232422},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.47347819805145264},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4606945216655731},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38207390904426575},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33477461338043213},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3307550549507141},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2249954640865326},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1446267068386078}],"concepts":[{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.8787637948989868},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8782107830047607},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.7864375710487366},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.7088258862495422},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6939853429794312},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5945988297462463},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.55008864402771},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.5335555076599121},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5121746063232422},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.47347819805145264},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4606945216655731},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38207390904426575},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33477461338043213},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3307550549507141},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2249954640865326},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1446267068386078},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2002.1025383","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2002.1025383","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W129996198","https://openalex.org/W1500921805","https://openalex.org/W1604304367","https://openalex.org/W2031917840","https://openalex.org/W2141548329","https://openalex.org/W2170716649","https://openalex.org/W4295016751"],"related_works":["https://openalex.org/W2046459260","https://openalex.org/W2765830098","https://openalex.org/W2791750487","https://openalex.org/W1606997444","https://openalex.org/W2138317614","https://openalex.org/W2153544183","https://openalex.org/W1884874476","https://openalex.org/W2130254085","https://openalex.org/W2042029506","https://openalex.org/W2918259018"],"abstract_inverted_index":{"An":[0],"algorithm":[1,40,63],"for":[2,12,26],"decomposing":[3],"positive":[4,55,77],"linear":[5,56],"systems":[6,35],"into":[7],"monomial":[8],"components":[9],"is":[10],"developed":[11],"the":[13,16,28,62,66],"case":[14],"when":[15],"system":[17],"matrix":[18],"contains":[19],"zero":[20],"columns.":[21],"Criteria":[22],"in":[23,72],"digraph":[24],"form":[25,53],"identifying":[27],"reachability":[29],"and":[30,50],"controllability":[31],"properties":[32],"of":[33,48,54,61,68,76],"such":[34],"are":[36],"provided.":[37],"The":[38,58],"decomposition":[39],"can":[41],"be,":[42],"used":[43],"to":[44],"generate":[45],"a":[46],"variety":[47],"reachable":[49],"controllable":[51],"canonical":[52],"systems.":[57,78],"graph-theoretic":[59],"nature":[60],"substantially":[64],"simplifies":[65],"solution":[67],"large-scale":[69],"problems":[70],"arising":[71],"many":[73],"application":[74],"areas":[75]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
