{"id":"https://openalex.org/W2009147971","doi":"https://doi.org/10.1109/acc.2013.6579832","title":"Stability analysis of multiple time delayed fractional order systems","display_name":"Stability analysis of multiple time delayed fractional order systems","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2009147971","doi":"https://doi.org/10.1109/acc.2013.6579832","mag":"2009147971"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2013.6579832","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6579832","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","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/A5101923800","display_name":"Mohammad Ali Pakzad","orcid":"https://orcid.org/0000-0003-4595-9760"},"institutions":[{"id":"https://openalex.org/I155419210","display_name":"Islamic Azad University, Science and Research Branch","ror":"https://ror.org/03187yj51","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I155419210"]},{"id":"https://openalex.org/I110525433","display_name":"Islamic Azad University, Tehran","ror":"https://ror.org/01kzn7k21","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mohammad Ali Pakzad","raw_affiliation_strings":["Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran","[Dept. of Electr. Eng., Islamic Azad Univ., Tehran, Iran]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran","institution_ids":["https://openalex.org/I155419210"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Islamic Azad Univ., Tehran, Iran]","institution_ids":["https://openalex.org/I110525433"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086902398","display_name":"Sara Pakzad","orcid":null},"institutions":[{"id":"https://openalex.org/I136830121","display_name":"Islamic Azad University South Tehran Branch","ror":"https://ror.org/02xc21a77","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I136830121"]},{"id":"https://openalex.org/I110525433","display_name":"Islamic Azad University, Tehran","ror":"https://ror.org/01kzn7k21","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Sara Pakzad","raw_affiliation_strings":["Departments of Electrical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran","Depts. of Electr. Eng., Islamic Azad Univ., Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Departments of Electrical Engineering, South Tehran Branch, Islamic Azad University, Tehran, Iran","institution_ids":["https://openalex.org/I136830121"]},{"raw_affiliation_string":"Depts. of Electr. Eng., Islamic Azad Univ., Tehran, Iran","institution_ids":["https://openalex.org/I110525433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108097807","display_name":"Mohammad Ali Nekoui","orcid":null},"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":"Mohammad Ali Nekoui","raw_affiliation_strings":["Faculty of Electrical and Computer Engineering, K.N.Toosi University of Technology, Tehran, Iran","Fac. of Electr. & Comput. Eng, K.N. Toosi Univ. of Technol., Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical and Computer Engineering, K.N.Toosi University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I80543232"]},{"raw_affiliation_string":"Fac. of Electr. & Comput. Eng, K.N. Toosi Univ. of Technol., Tehran, Iran","institution_ids":["https://openalex.org/I80543232"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101923800"],"corresponding_institution_ids":["https://openalex.org/I110525433","https://openalex.org/I155419210"],"apc_list":null,"apc_paid":null,"fwci":4.0396,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.93362651,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"170","last_page":"175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9976000189781189,"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":0.9976000189781189,"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":0.9937000274658203,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9921000003814697,"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/stability","display_name":"Stability (learning theory)","score":0.7444295883178711},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.550428032875061},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5198241472244263},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5032543540000916},{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.4883138835430145},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.4866417348384857},{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.4823188781738281},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46107056736946106},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.4259510040283203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42047712206840515},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39324918389320374},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3246191740036011},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.28201234340667725},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09433585405349731},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07693469524383545},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06961628794670105}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.7444295883178711},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.550428032875061},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5198241472244263},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5032543540000916},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.4883138835430145},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.4866417348384857},{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.4823188781738281},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46107056736946106},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.4259510040283203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42047712206840515},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39324918389320374},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3246191740036011},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.28201234340667725},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09433585405349731},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07693469524383545},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06961628794670105},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2013.6579832","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6579832","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","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":22,"referenced_works":["https://openalex.org/W948591580","https://openalex.org/W1977415556","https://openalex.org/W1996430332","https://openalex.org/W2001238953","https://openalex.org/W2007757627","https://openalex.org/W2010970677","https://openalex.org/W2027105990","https://openalex.org/W2035841808","https://openalex.org/W2040904008","https://openalex.org/W2074178424","https://openalex.org/W2079935881","https://openalex.org/W2106768525","https://openalex.org/W2135314695","https://openalex.org/W2160909677","https://openalex.org/W2169640173","https://openalex.org/W2320739203","https://openalex.org/W2467963231","https://openalex.org/W3148347169","https://openalex.org/W4205227699","https://openalex.org/W4206629447","https://openalex.org/W6625009813","https://openalex.org/W6699799736"],"related_works":["https://openalex.org/W1987894831","https://openalex.org/W2611869150","https://openalex.org/W4296520599","https://openalex.org/W1500363884","https://openalex.org/W2606052468","https://openalex.org/W2254830460","https://openalex.org/W2089994436","https://openalex.org/W2078995166","https://openalex.org/W2049779930","https://openalex.org/W79989027"],"abstract_inverted_index":{"A":[0],"new":[1],"methodology,":[2],"based":[3],"on":[4],"advanced":[5],"clustering":[6],"with":[7,20,159],"frequency":[8],"sweeping":[9],"(ACFS),":[10],"is":[11,29,143],"presented":[12,171],"for":[13,147],"the":[14,37,47,53,61,64,81,90,95,116,119,129,148,152,174],"stability":[15,96,112,153],"analysis":[16,54],"of":[17,46,60,83,94,118,140,155],"fractional-order":[18,157],"systems":[19,38,62],"multiple":[21,160],"time":[22,150,161],"delays":[23,48,162],"against":[24],"delay":[25,101],"uncertainties.":[26],"The":[27,137],"problem":[28,65],"known":[30],"to":[31,43,70,134,172],"be":[32,135,164],"notoriously":[33],"complex,":[34],"primarily":[35],"because":[36],"are":[39,170],"infinite":[40],"dimensional":[41],"due":[42],"delays.":[44,120],"Multiplicity":[45],"in":[49,80,98,115],"this":[50,106,141],"study":[51],"complicates":[52],"even":[55],"further.":[56],"And":[57],"\u201cfractional-order\u201d":[58],"feature":[59],"makes":[63],"much":[66],"more":[67],"challenging":[68],"compared":[69],"integer":[71],"order":[72],"systems.":[73],"ACFS":[74],"does":[75,126],"not":[76,127],"impose":[77],"any":[78,99],"restrictions":[79],"number":[82],"delays,":[84],"and":[85],"it":[86,125],"can":[87,163],"directly":[88],"extract":[89],"2-D":[91],"cross":[92],"sections":[93],"views":[97],"two":[100],"domain.":[102],"We":[103],"show":[104],"that":[105,144,151],"procedure":[107],"analytically":[108],"reveals":[109],"all":[110],"possible":[111],"regions":[113],"exclusively":[114],"space":[117],"As":[121],"an":[122],"added":[123],"strength,":[124],"require":[128],"delay-free":[130],"system":[131,158],"under":[132],"consideration":[133],"stable.":[136],"main":[138],"contribution":[139],"document":[142],"we":[145],"demonstrate":[146],"first":[149],"maps":[154],"a":[156],"obtained":[165],"efficiently.":[166],"Two":[167],"illustrative":[168],"examples":[169],"confirm":[173],"proposed":[175],"method":[176],"results.":[177]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
