{"id":"https://openalex.org/W3098714050","doi":"https://doi.org/10.1177/0142331220968965","title":"Robust stability analysis of uncertain incommensurate fractional order quasi-polynomials in the presence of interval fractional orders and interval coefficients","display_name":"Robust stability analysis of uncertain incommensurate fractional order quasi-polynomials in the presence of interval fractional orders and interval coefficients","publication_year":2020,"publication_date":"2020-11-11","ids":{"openalex":"https://openalex.org/W3098714050","doi":"https://doi.org/10.1177/0142331220968965","mag":"3098714050"},"language":"en","primary_location":{"id":"doi:10.1177/0142331220968965","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331220968965","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","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/A5057123393","display_name":"Majid Ghorbani","orcid":"https://orcid.org/0000-0001-8908-6573"},"institutions":[{"id":"https://openalex.org/I80543232","display_name":"K.N.Toosi University of Technology","ror":"https://ror.org/0433abe34","country_code":"IR","type":"education","lineage":["https://openalex.org/I80543232"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Majid Ghorbani","raw_affiliation_strings":["Faculty of Electerical Engineering, K.N. Toosi University of Technology, Tehran, Islamic Republic of Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Electerical Engineering, K.N. Toosi University of Technology, Tehran, Islamic Republic of Iran","institution_ids":["https://openalex.org/I80543232"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083512761","display_name":"Mahsan Tavakoli\u2010Kakhki","orcid":"https://orcid.org/0000-0001-6851-1614"},"institutions":[{"id":"https://openalex.org/I80543232","display_name":"K.N.Toosi University of Technology","ror":"https://ror.org/0433abe34","country_code":"IR","type":"education","lineage":["https://openalex.org/I80543232"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mahsan Tavakoli-Kakhki","raw_affiliation_strings":["Faculty of Electerical Engineering, K.N. Toosi University of Technology, Tehran, Islamic Republic of Iran"],"raw_orcid":"https://orcid.org/0000-0001-6851-1614","affiliations":[{"raw_affiliation_string":"Faculty of Electerical Engineering, K.N. Toosi University of Technology, Tehran, Islamic Republic of Iran","institution_ids":["https://openalex.org/I80543232"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083512761"],"corresponding_institution_ids":["https://openalex.org/I80543232"],"apc_list":null,"apc_paid":null,"fwci":1.6373,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.83934491,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"43","issue":"5","first_page":"1117","last_page":"1125"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9998000264167786,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9998000264167786,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9908000230789185,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/mathematics","display_name":"Mathematics","score":0.7975698709487915},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7505659461021423},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6258367896080017},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5556982755661011},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5370396971702576},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5279402136802673},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.507770836353302},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.4648301601409912},{"id":"https://openalex.org/keywords/kharitonovs-theorem","display_name":"Kharitonov's theorem","score":0.45086532831192017},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4321366548538208},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41094648838043213},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33483558893203735},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.323286235332489},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2985239028930664},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2042834460735321},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.13055205345153809},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10458478331565857}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7975698709487915},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7505659461021423},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6258367896080017},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5556982755661011},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5370396971702576},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5279402136802673},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.507770836353302},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.4648301601409912},{"id":"https://openalex.org/C173047080","wikidata":"https://www.wikidata.org/wiki/Q6400676","display_name":"Kharitonov's theorem","level":5,"score":0.45086532831192017},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4321366548538208},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41094648838043213},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33483558893203735},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.323286235332489},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2985239028930664},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2042834460735321},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.13055205345153809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10458478331565857},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C101525915","wikidata":"https://www.wikidata.org/wiki/Q7581979","display_name":"Square-free polynomial","level":4,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0142331220968965","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0142331220968965","pdf_url":null,"source":{"id":"https://openalex.org/S24148485","display_name":"Transactions of the Institute of Measurement and Control","issn_l":"0142-3312","issn":["0142-3312","1477-0369"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Transactions of the Institute of Measurement and Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1141846666","https://openalex.org/W1482448017","https://openalex.org/W1557452007","https://openalex.org/W1981123198","https://openalex.org/W1981860712","https://openalex.org/W1988106902","https://openalex.org/W1989371923","https://openalex.org/W1993637044","https://openalex.org/W1996430332","https://openalex.org/W2006023659","https://openalex.org/W2046361088","https://openalex.org/W2062023162","https://openalex.org/W2071913488","https://openalex.org/W2088680463","https://openalex.org/W2090569617","https://openalex.org/W2116895803","https://openalex.org/W2145631921","https://openalex.org/W2161411167","https://openalex.org/W2477921776","https://openalex.org/W2478769293","https://openalex.org/W2516693646","https://openalex.org/W2555535997","https://openalex.org/W2592569813","https://openalex.org/W2765687571","https://openalex.org/W2886336326","https://openalex.org/W2910333401","https://openalex.org/W2962697549","https://openalex.org/W2963278978","https://openalex.org/W2968064849","https://openalex.org/W2971751743","https://openalex.org/W2980257348","https://openalex.org/W2985855706","https://openalex.org/W2991332224","https://openalex.org/W2997822192","https://openalex.org/W3010887263","https://openalex.org/W3018086504","https://openalex.org/W3021442169","https://openalex.org/W4252973662"],"related_works":["https://openalex.org/W2520934858","https://openalex.org/W2990487117","https://openalex.org/W2012882356","https://openalex.org/W2098412892","https://openalex.org/W109635080","https://openalex.org/W4213384165","https://openalex.org/W2085275338","https://openalex.org/W2377262226","https://openalex.org/W4285295794","https://openalex.org/W2531534085"],"abstract_inverted_index":{"This":[0],"paper":[1,126],"deals":[2],"with":[3,16],"the":[4,26,35,40,48,53,68,91,100,122,125],"robust":[5,54,69,92],"stability":[6,55,70,93],"analysis":[7],"of":[8,11,20,25,29,39,51,56,75,94,103,124],"a":[9,17,58,95],"class":[10],"incommensurate":[12],"fractional":[13,41,96],"order":[14,42,97],"quasi-polynomials":[15,43],"general":[18,27,101],"type":[19,28,102],"interval":[21,30,45],"uncertainties.":[22,46],"The":[23],"concept":[24],"uncertainties":[31],"means":[32],"that":[33,90],"all":[34],"coefficients":[36],"and":[37,84],"orders":[38],"have":[44],"Generally,":[47],"computational":[49],"complexity":[50],"specifying":[52],"such":[57],"quasi-polynomial":[59,98],"is":[60,71,88],"shown":[61,89],"in":[62],"this":[63,66],"paper.":[64],"To":[65],"end,":[67],"studied":[72],"by":[73,80,116],"Principle":[74],"Argument":[76],"theorem.":[77],"In":[78],"fact,":[79],"presenting":[81],"two":[82],"theorems":[83],"three":[85],"lemmas":[86],"it":[87],"involving":[99],"uncertainty":[104],"can":[105],"be":[106],"simply":[107],"investigated":[108],"without":[109],"needing":[110],"to":[111],"plot":[112],"its":[113],"value":[114],"set":[115],"heavy":[117],"computations.":[118],"Examples":[119],"are":[120],"attested":[121],"validity":[123],"results.":[127]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}