{"id":"https://openalex.org/W2145224119","doi":"https://doi.org/10.1108/03684920910976826","title":"Fractional positive linear systems","display_name":"Fractional positive linear systems","publication_year":2009,"publication_date":"2009-08-07","ids":{"openalex":"https://openalex.org/W2145224119","doi":"https://doi.org/10.1108/03684920910976826","mag":"2145224119"},"language":"en","primary_location":{"id":"doi:10.1108/03684920910976826","is_oa":false,"landing_page_url":"https://doi.org/10.1108/03684920910976826","pdf_url":null,"source":{"id":"https://openalex.org/S168682784","display_name":"Kybernetes","issn_l":"0368-492X","issn":["0368-492X","1758-7883"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetes","raw_type":"journal-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/A5081405480","display_name":"Tadeusz Kaczorek","orcid":"https://orcid.org/0000-0002-1270-3948"},"institutions":[{"id":"https://openalex.org/I1323121030","display_name":"Bialystok University of Technology","ror":"https://ror.org/02bzfsy61","country_code":"PL","type":"education","lineage":["https://openalex.org/I1323121030"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Tadeusz Kaczorek","raw_affiliation_strings":["Department of Electrical Engineering, Bialystok Technical University, Bialystok, Poland","(Department of Electrical Engineering, Bialystok Technical University, Bialystok, Poland)"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Bialystok Technical University, Bialystok, Poland","institution_ids":["https://openalex.org/I1323121030"]},{"raw_affiliation_string":"(Department of Electrical Engineering, Bialystok Technical University, Bialystok, Poland)","institution_ids":["https://openalex.org/I1323121030"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081405480"],"corresponding_institution_ids":["https://openalex.org/I1323121030"],"apc_list":null,"apc_paid":null,"fwci":5.2017,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.95874263,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"38","issue":"7/8","first_page":"1059","last_page":"1078"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11081","display_name":"Advanced Control Systems Design","score":0.9995999932289124,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.8846850395202637},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.7552775144577026},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6020848751068115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5890117287635803},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5192282795906067},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5168288350105286},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5142025947570801},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.500077486038208},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.464047372341156},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4323529005050659},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42918941378593445},{"id":"https://openalex.org/keywords/cybernetics","display_name":"Cybernetics","score":0.41387224197387695},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.35859453678131104},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32726967334747314},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2201535999774933},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13152086734771729},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08363884687423706},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07547423243522644},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05624791979789734}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8846850395202637},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.7552775144577026},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6020848751068115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5890117287635803},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5192282795906067},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5168288350105286},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5142025947570801},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.500077486038208},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.464047372341156},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4323529005050659},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42918941378593445},{"id":"https://openalex.org/C115286129","wikidata":"https://www.wikidata.org/wiki/Q123637","display_name":"Cybernetics","level":2,"score":0.41387224197387695},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.35859453678131104},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32726967334747314},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2201535999774933},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13152086734771729},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08363884687423706},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07547423243522644},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05624791979789734},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1108/03684920910976826","is_oa":false,"landing_page_url":"https://doi.org/10.1108/03684920910976826","pdf_url":null,"source":{"id":"https://openalex.org/S168682784","display_name":"Kybernetes","issn_l":"0368-492X","issn":["0368-492X","1758-7883"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kybernetes","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W22325472","https://openalex.org/W183214486","https://openalex.org/W286993391","https://openalex.org/W865242407","https://openalex.org/W950537009","https://openalex.org/W1028578063","https://openalex.org/W1486282065","https://openalex.org/W1534430411","https://openalex.org/W1540808682","https://openalex.org/W1575390922","https://openalex.org/W1581329055","https://openalex.org/W1604304367","https://openalex.org/W1773767396","https://openalex.org/W1852539709","https://openalex.org/W1972799297","https://openalex.org/W1990862131","https://openalex.org/W2028133815","https://openalex.org/W2094023357","https://openalex.org/W2095835509","https://openalex.org/W2096973747","https://openalex.org/W2101404214","https://openalex.org/W2106894443","https://openalex.org/W2108132547","https://openalex.org/W2131714798","https://openalex.org/W2133591213","https://openalex.org/W2151622640","https://openalex.org/W2156757264","https://openalex.org/W2787959293","https://openalex.org/W4235143360","https://openalex.org/W4285719527","https://openalex.org/W6610379747","https://openalex.org/W6625030840"],"related_works":["https://openalex.org/W2017900107","https://openalex.org/W3093291299","https://openalex.org/W2119819375","https://openalex.org/W2350566675","https://openalex.org/W2059046304","https://openalex.org/W1996493114","https://openalex.org/W1486282065","https://openalex.org/W2144878166","https://openalex.org/W2165042063","https://openalex.org/W2084947282"],"abstract_inverted_index":{"Purpose":[0],"The":[1],"purpose":[2],"of":[3,12,26,46,53,62],"this":[4],"paper":[5],"is":[6,68],"to":[7,22,51],"introduce":[8],"a":[9],"new":[10],"class":[11],"fractional":[13,28,55,64],"positive":[14,65],"continuous\u2010time":[15],"and":[16,34,42,45,49],"discrete\u2010time":[17],"linear":[18,66],"systems.":[19,56],"Design/methodology/approach":[20],"Solutions":[21],"the":[23,27,40,47,54,63],"state":[24],"equations":[25],"systems":[29,67],"are":[30,37],"given.":[31],"Findings":[32],"Necessary":[33],"sufficient":[35],"conditions":[36],"established":[38],"for":[39,60],"internal":[41],"external":[43],"positivity":[44],"reachability":[48],"controllability":[50],"zero":[52],"Originality/value":[57],"A":[58],"method":[59],"analysis":[61],"proposed.":[69]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":9},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":12}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}