{"id":"https://openalex.org/W4313490531","doi":"https://doi.org/10.1109/icsc57768.2022.9993954","title":"Modelling and initialization of fractional order nonlinear systems: the infinite state approach","display_name":"Modelling and initialization of fractional order nonlinear systems: the infinite state approach","publication_year":2022,"publication_date":"2022-11-23","ids":{"openalex":"https://openalex.org/W4313490531","doi":"https://doi.org/10.1109/icsc57768.2022.9993954"},"language":"en","primary_location":{"id":"doi:10.1109/icsc57768.2022.9993954","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsc57768.2022.9993954","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 10th International Conference on Systems and Control (ICSC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5058341948","display_name":"Nezha Maamri","orcid":"https://orcid.org/0000-0002-6362-9768"},"institutions":[{"id":"https://openalex.org/I32881790","display_name":"Universit\u00e9 de Poitiers","ror":"https://ror.org/04xhy8q59","country_code":"FR","type":"education","lineage":["https://openalex.org/I32881790"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"N. Maamri","raw_affiliation_strings":["Poitiers University,LIAS Laboratory,France","LIAS Laboratory, Poitiers University, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Poitiers University,LIAS Laboratory,France","institution_ids":["https://openalex.org/I32881790"]},{"raw_affiliation_string":"LIAS Laboratory, Poitiers University, France","institution_ids":["https://openalex.org/I32881790"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068952677","display_name":"Jean\u2010Claude Trigeassou","orcid":"https://orcid.org/0000-0003-2587-9958"},"institutions":[{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210157089","display_name":"Laboratoire de l'Int\u00e9gration du Mat\u00e9riau au Syst\u00e8me","ror":"https://ror.org/04nabhy78","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210091158","https://openalex.org/I4210095849","https://openalex.org/I4210157089","https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J.C. Trigeassou","raw_affiliation_strings":["Bordeaux University,IMS Laboratory,France","IMS Laboratory, Bordeaux University, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bordeaux University,IMS Laboratory,France","institution_ids":["https://openalex.org/I4210157089","https://openalex.org/I4210160189","https://openalex.org/I15057530"]},{"raw_affiliation_string":"IMS Laboratory, Bordeaux University, France","institution_ids":["https://openalex.org/I4210157089","https://openalex.org/I4210160189","https://openalex.org/I15057530"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"42","last_page":"47"},"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9987000226974487,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7514989376068115},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.7252641320228577},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.6487089395523071},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5477215647697449},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5324465036392212},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4947304427623749},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.49167925119400024},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4912344813346863},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47660893201828003},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4754055440425873},{"id":"https://openalex.org/keywords/fractional-calculus","display_name":"Fractional calculus","score":0.47217053174972534},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.460233211517334},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.43085697293281555},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.40777942538261414},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38706275820732117},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27398908138275146},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13157564401626587},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11661496758460999},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08026006817817688}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7514989376068115},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.7252641320228577},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.6487089395523071},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5477215647697449},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5324465036392212},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4947304427623749},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.49167925119400024},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4912344813346863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47660893201828003},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4754055440425873},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.47217053174972534},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.460233211517334},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.43085697293281555},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.40777942538261414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38706275820732117},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27398908138275146},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13157564401626587},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11661496758460999},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08026006817817688},{"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/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icsc57768.2022.9993954","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icsc57768.2022.9993954","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 10th 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":26,"referenced_works":["https://openalex.org/W1463793435","https://openalex.org/W1487127700","https://openalex.org/W1538686203","https://openalex.org/W1982333762","https://openalex.org/W2001020627","https://openalex.org/W2004202105","https://openalex.org/W2011055306","https://openalex.org/W2019424969","https://openalex.org/W2023076762","https://openalex.org/W2041046963","https://openalex.org/W2054351650","https://openalex.org/W2075110582","https://openalex.org/W2311618027","https://openalex.org/W2384274089","https://openalex.org/W2507919637","https://openalex.org/W2614526623","https://openalex.org/W2770899939","https://openalex.org/W2787959293","https://openalex.org/W2792080443","https://openalex.org/W2895638477","https://openalex.org/W2971379244","https://openalex.org/W3100474008","https://openalex.org/W4205213355","https://openalex.org/W4239351642","https://openalex.org/W4247953052","https://openalex.org/W6722858508"],"related_works":["https://openalex.org/W3204184292","https://openalex.org/W3176564347","https://openalex.org/W1985458517","https://openalex.org/W2355833770","https://openalex.org/W2366352762","https://openalex.org/W2613964090","https://openalex.org/W3031039437","https://openalex.org/W14317389","https://openalex.org/W2026150734","https://openalex.org/W2060885260"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,49,64],"generalize":[4],"the":[5,10,23,29,38],"infinite":[6,24,58],"state":[7,36],"representation":[8],"to":[9,46],"modeling":[11],"of":[12,28],"fractional":[13,30,40],"order":[14],"nonlinear":[15,39],"differential":[16,41],"systems.":[17],"This":[18],"technique":[19],"is":[20],"based":[21],"on":[22,57,74],"dimension":[25,59],"modal":[26],"model":[27],"integrator":[31],"whose":[32],"internal":[33],"frequency":[34],"distributed":[35,60],"defines":[37],"systems":[42],"(FDS)":[43],"state.":[44],"Thanks":[45],"numerical":[47],"simulations,":[48],"demonstrate":[50],"that":[51,66],"system":[52,75],"dynamical":[53],"behaviors":[54],"are":[55],"dependant":[56],"initial":[61,68],"conditions.":[62],"Moreover,":[63],"show":[65],"these":[67],"conditions":[69],"have":[70],"a":[71],"direct":[72],"consequence":[73],"stability.":[76]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
