{"id":"https://openalex.org/W1544717982","doi":"https://doi.org/10.1109/icosc.2015.7152761","title":"Control of a fractional jerk equation using the fractional Routh-Hurwitz criteria","display_name":"Control of a fractional jerk equation using the fractional Routh-Hurwitz criteria","publication_year":2015,"publication_date":"2015-04-01","ids":{"openalex":"https://openalex.org/W1544717982","doi":"https://doi.org/10.1109/icosc.2015.7152761","mag":"1544717982"},"language":"en","primary_location":{"id":"doi:10.1109/icosc.2015.7152761","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icosc.2015.7152761","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 4th International Conference on Systems and Control (ICSC)","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/A5070632249","display_name":"Tidjani Menacer","orcid":"https://orcid.org/0000-0001-5305-3235"},"institutions":[{"id":"https://openalex.org/I206961696","display_name":"University of Biskra","ror":"https://ror.org/05fr5y859","country_code":"DZ","type":"education","lineage":["https://openalex.org/I206961696"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Tidjani Menacer","raw_affiliation_strings":["Mathematics Department, University of Biskra, Algeria","Mathematics Department, Faculty of Exact Sciences, University of Biskra, Algeria"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, University of Biskra, Algeria","institution_ids":["https://openalex.org/I206961696"]},{"raw_affiliation_string":"Mathematics Department, Faculty of Exact Sciences, University of Biskra, Algeria","institution_ids":["https://openalex.org/I206961696"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5070632249"],"corresponding_institution_ids":["https://openalex.org/I206961696"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02424387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"21","issue":null,"first_page":"351","last_page":"359"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.994700014591217,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9898999929428101,"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/routh\u2013hurwitz-stability-criterion","display_name":"Routh\u2013Hurwitz stability criterion","score":0.861621618270874},{"id":"https://openalex.org/keywords/jerk","display_name":"Jerk","score":0.7644267082214355},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.633385419845581},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6238733530044556},{"id":"https://openalex.org/keywords/fractional-order-system","display_name":"Fractional-order system","score":0.619444727897644},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.60895836353302},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5633015036582947},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.5205210447311401},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46933332085609436},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4537229835987091},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4492453932762146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26903873682022095},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.23368996381759644},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21307286620140076},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09068751335144043},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06249034404754639}],"concepts":[{"id":"https://openalex.org/C1366977","wikidata":"https://www.wikidata.org/wiki/Q2621270","display_name":"Routh\u2013Hurwitz stability criterion","level":3,"score":0.861621618270874},{"id":"https://openalex.org/C181605269","wikidata":"https://www.wikidata.org/wiki/Q497332","display_name":"Jerk","level":3,"score":0.7644267082214355},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.633385419845581},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6238733530044556},{"id":"https://openalex.org/C2779728712","wikidata":"https://www.wikidata.org/wiki/Q17014617","display_name":"Fractional-order system","level":3,"score":0.619444727897644},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.60895836353302},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5633015036582947},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.5205210447311401},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46933332085609436},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4537229835987091},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4492453932762146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26903873682022095},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.23368996381759644},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21307286620140076},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09068751335144043},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06249034404754639},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icosc.2015.7152761","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icosc.2015.7152761","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 4th International Conference on Systems and Control (ICSC)","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":32,"referenced_works":["https://openalex.org/W181789623","https://openalex.org/W1505026374","https://openalex.org/W1967335045","https://openalex.org/W1969091689","https://openalex.org/W1969964811","https://openalex.org/W1970442252","https://openalex.org/W1974145940","https://openalex.org/W1979048724","https://openalex.org/W1985341573","https://openalex.org/W1991197612","https://openalex.org/W1992467077","https://openalex.org/W2001250157","https://openalex.org/W2036305084","https://openalex.org/W2036891784","https://openalex.org/W2048039028","https://openalex.org/W2052192147","https://openalex.org/W2074265523","https://openalex.org/W2074631887","https://openalex.org/W2076743612","https://openalex.org/W2078179960","https://openalex.org/W2082108503","https://openalex.org/W2082804909","https://openalex.org/W2117293664","https://openalex.org/W2119227499","https://openalex.org/W2120749007","https://openalex.org/W2134837756","https://openalex.org/W2137492046","https://openalex.org/W2186231233","https://openalex.org/W2188919636","https://openalex.org/W4285719527","https://openalex.org/W6607422658","https://openalex.org/W6687108473"],"related_works":["https://openalex.org/W2353393086","https://openalex.org/W2006798982","https://openalex.org/W4303644794","https://openalex.org/W4221161222","https://openalex.org/W52595378","https://openalex.org/W2941373298","https://openalex.org/W2157347895","https://openalex.org/W1544717982","https://openalex.org/W2156757264","https://openalex.org/W1780388054"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"stability":[3],"analysis":[4],"in":[5,40],"a":[6],"class":[7],"of":[8,50,78],"fractional-order":[9,58],"autonomous":[10],"chaotic":[11,28],"systems":[12,25,43,59],"is":[13,29,54,70],"studied,":[14],"using":[15,47],"the":[16,41,57,76,79],"fractional":[17,32],"Routh-Hurwitz":[18,33],"criteria.":[19],"A":[20],"necessary":[21],"condition":[22],"for":[23],"these":[24],"to":[26,37,44,62],"remain":[27],"obtained.":[30],"The":[31],"conditions":[34],"are":[35,60],"used":[36],"control":[38],"chaos":[39],"proposed":[42],"its":[45,63,67],"equilibriums,":[46],"specific":[48],"choice":[49],"linear":[51],"controllers,":[52],"it":[53],"shown":[55],"that":[56],"controlled":[61],"equilibrium":[64],"points;":[65],"however,":[66],"integerorder":[68],"counterpart":[69],"not":[71],"controlled.":[72],"Numerical":[73],"results":[74],"show":[75],"effectiveness":[77],"theoretical":[80],"analysis.":[81]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}