{"id":"https://openalex.org/W1579393907","doi":"https://doi.org/10.1109/cdc.2002.1184250","title":"Exponential representations of Volterra-like expansions: an explicit computation of the exponent series","display_name":"Exponential representations of Volterra-like expansions: an explicit computation of the exponent series","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W1579393907","doi":"https://doi.org/10.1109/cdc.2002.1184250","mag":"1579393907"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184250","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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/A5077368544","display_name":"S. Monaco","orcid":"https://orcid.org/0000-0002-2723-5737"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. Monaco","raw_affiliation_strings":["Dipartimento di Informatica e Sistemistica Antonio Ruberti, Universita La Sapienza, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica e Sistemistica Antonio Ruberti, Universita La Sapienza, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005378133","display_name":"D. Normand\u2010Cyrot","orcid":"https://orcid.org/0000-0002-0642-1549"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Normand-Cyrot","raw_affiliation_strings":["Laboratoire des Signaux et Syst\u00e9rmes, Plateau de Moulon, CNRS-ESE, Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e9rmes, Plateau de Moulon, CNRS-ESE, Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I4210097418","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079337546","display_name":"Claudia Califano","orcid":"https://orcid.org/0000-0001-5377-1798"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"C. Califano","raw_affiliation_strings":["Dipartimento di Informatica e Sistemistica Antonio Ruberti, Universita La Sapienza, Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Informatica e Sistemistica Antonio Ruberti, Universita La Sapienza, Rome, Italy","institution_ids":["https://openalex.org/I861853513"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4528,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89431303,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"2708","last_page":"2713"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9900000095367432,"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":0.9900000095367432,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.9732999801635742,"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/exponent","display_name":"Exponent","score":0.795635461807251},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.7424373626708984},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6755236387252808},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6691046953201294},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6638894081115723},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5821305513381958},{"id":"https://openalex.org/keywords/volterra-series","display_name":"Volterra series","score":0.5135181546211243},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4889727830886841},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4750154912471771},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4515659809112549},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4441501200199127},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09132540225982666},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.06379026174545288}],"concepts":[{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.795635461807251},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.7424373626708984},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6755236387252808},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6691046953201294},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6638894081115723},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5821305513381958},{"id":"https://openalex.org/C2778532037","wikidata":"https://www.wikidata.org/wiki/Q3957891","display_name":"Volterra series","level":3,"score":0.5135181546211243},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4889727830886841},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4750154912471771},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4515659809112549},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4441501200199127},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09132540225982666},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.06379026174545288},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2002.1184250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184250","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/253404","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/253404","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4000000059604645,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W16248341","https://openalex.org/W169034099","https://openalex.org/W193052113","https://openalex.org/W437537225","https://openalex.org/W1026810820","https://openalex.org/W1508222939","https://openalex.org/W1597839575","https://openalex.org/W1985171139","https://openalex.org/W2015138523","https://openalex.org/W2039763880","https://openalex.org/W2066182219","https://openalex.org/W2132889481","https://openalex.org/W2152781181","https://openalex.org/W2321285931","https://openalex.org/W2335141413","https://openalex.org/W6635652056"],"related_works":["https://openalex.org/W2546454710","https://openalex.org/W2108050916","https://openalex.org/W2467119940","https://openalex.org/W2057635680","https://openalex.org/W3194077685","https://openalex.org/W2335353069","https://openalex.org/W2327230097","https://openalex.org/W2596950579","https://openalex.org/W2112248480","https://openalex.org/W4205839918"],"abstract_inverted_index":{"The":[0,46],"paper":[1],"concerns":[2],"the":[3,8,12,22,26,36,51],"exponential":[4],"form":[5],"representation":[6],"of":[7,14,35,53],"flow":[9],"associated":[10],"with":[11],"solution":[13],"time":[15],"varying":[16],"nonlinear":[17,54],"differential":[18],"equations.":[19,56],"Starting":[20],"from":[21],"known":[23],"fact":[24],"that":[25],"exponent":[27,43],"is":[28,44,48],"a":[29],"Lie":[30,38],"series,":[31],"an":[32],"iterative":[33],"computation":[34],"successive":[37],"polynomials":[39],"which":[40],"define":[41],"this":[42],"proposed.":[45],"result":[47],"specified":[49],"in":[50],"case":[52],"difference":[55]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
