{"id":"https://openalex.org/W1764856449","doi":"https://doi.org/10.1109/tac.2015.2482003","title":"Integrability for Nonlinear Time-Delay Systems","display_name":"Integrability for Nonlinear Time-Delay Systems","publication_year":2015,"publication_date":"2015-09-29","ids":{"openalex":"https://openalex.org/W1764856449","doi":"https://doi.org/10.1109/tac.2015.2482003","mag":"1764856449"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2015.2482003","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2482003","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11573/893946","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064396373","display_name":"Arvo Kaldm\u00e4e","orcid":"https://orcid.org/0000-0002-6228-0541"},"institutions":[{"id":"https://openalex.org/I100445878","display_name":"\u00c9cole Centrale de Nantes","ror":"https://ror.org/03nh7d505","country_code":"FR","type":"education","lineage":["https://openalex.org/I100445878","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I4210160054","display_name":"Cybernetica (Estonia)","ror":"https://ror.org/054gqc795","country_code":"EE","type":"company","lineage":["https://openalex.org/I4210160054"]}],"countries":["EE","FR"],"is_corresponding":true,"raw_author_name":"Arvo Kaldmae","raw_affiliation_strings":["Institute of Cybernetics at TUT, Ecole Centrale Nantes, Nantes Cedex 3, France","IRCCyN - Institut de Recherche en Communications et en Cybern\u00e9tique de Nantes (1, rue de la No\u00eb BP92101 44321 Nantes Cedex 03 - France)","Institute of Cybernetics [Tallinn] (Institute of Cybernetics at TUT, Akadeemia tee 21, 12618 Tallinn, Estonia - Estonia)"],"affiliations":[{"raw_affiliation_string":"Institute of Cybernetics at TUT, Ecole Centrale Nantes, Nantes Cedex 3, France","institution_ids":["https://openalex.org/I100445878"]},{"raw_affiliation_string":"IRCCyN - Institut de Recherche en Communications et en Cybern\u00e9tique de Nantes (1, rue de la No\u00eb BP92101 44321 Nantes Cedex 03 - France)","institution_ids":[]},{"raw_affiliation_string":"Institute of Cybernetics [Tallinn] (Institute of Cybernetics at TUT, Akadeemia tee 21, 12618 Tallinn, Estonia - Estonia)","institution_ids":["https://openalex.org/I4210160054"]}]},{"author_position":"middle","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":"Claudia Califano","raw_affiliation_strings":["Dipartimento di Ingegneria Informatica Automatica e Gestionale Antonio, Ruberti, Universit\u00e0 di Roma, La Sapienza, Italy","DIAG UNIROMA - Dipartimento di Ingegneria informatica automatica e gestionale [Roma] (Universit\u00e0 degli Studi di Roma 'La Sapienza' - Piazzale Aldo Moro 5, 00185 Roma / Department of Computer, Control, and Management Engineering Antonio Ruberti - Italy)"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Informatica Automatica e Gestionale Antonio, Ruberti, Universit\u00e0 di Roma, La Sapienza, Italy","institution_ids":["https://openalex.org/I861853513"]},{"raw_affiliation_string":"DIAG UNIROMA - Dipartimento di Ingegneria informatica automatica e gestionale [Roma] (Universit\u00e0 degli Studi di Roma 'La Sapienza' - Piazzale Aldo Moro 5, 00185 Roma / Department of Computer, Control, and Management Engineering Antonio Ruberti - Italy)","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030112128","display_name":"Claude H. Moog","orcid":"https://orcid.org/0000-0003-3803-8760"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Claude H. Moog","raw_affiliation_strings":["IRCCyN, UMR CNRS 6597, Nantes Cedex 3, France","IRCCyN - Institut de Recherche en Communications et en Cybern\u00e9tique de Nantes (1, rue de la No\u00eb BP92101 44321 Nantes Cedex 03 - France)"],"affiliations":[{"raw_affiliation_string":"IRCCyN, UMR CNRS 6597, Nantes Cedex 3, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IRCCyN - Institut de Recherche en Communications et en Cybern\u00e9tique de Nantes (1, rue de la No\u00eb BP92101 44321 Nantes Cedex 03 - France)","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5064396373"],"corresponding_institution_ids":["https://openalex.org/I100445878","https://openalex.org/I4210160054"],"apc_list":null,"apc_paid":null,"fwci":2.6717,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.88104407,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"61","issue":"7","first_page":"1912","last_page":"1917"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9987999796867371,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9983999729156494,"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/T11615","display_name":"Control and Dynamics of Mobile Robots","score":0.9768000245094299,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/integrable-system","display_name":"Integrable system","score":0.7227756977081299},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6160075068473816},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5910705924034119},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.584141194820404},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5695905685424805},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5624802112579346},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5204282402992249},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5053310990333557},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4137096107006073},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.271595299243927},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25124549865722656},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07337361574172974}],"concepts":[{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.7227756977081299},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6160075068473816},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5910705924034119},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.584141194820404},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5695905685424805},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5624802112579346},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5204282402992249},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5053310990333557},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4137096107006073},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.271595299243927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25124549865722656},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07337361574172974},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2015.2482003","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2015.2482003","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:iris.uniroma1.it:11573/893946","is_oa":true,"landing_page_url":"http://ieeexplore.ieee.org/document/7283565/","pdf_url":"http://hdl.handle.net/11573/893946","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-01194348v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01194348","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ieeexplore.ieee.org/document/7283565/?arnumber=7283565","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:iris.uniroma1.it:11573/893946","is_oa":true,"landing_page_url":"http://ieeexplore.ieee.org/document/7283565/","pdf_url":"http://hdl.handle.net/11573/893946","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4121897558","display_name":null,"funder_award_id":"PUT481","funder_id":"https://openalex.org/F4320321090","funder_display_name":"Eesti Teadusagentuur"}],"funders":[{"id":"https://openalex.org/F4320321090","display_name":"Eesti Teadusagentuur","ror":"https://ror.org/00jjeja18"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1764856449.pdf","grobid_xml":"https://content.openalex.org/works/W1764856449.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1964373008","https://openalex.org/W1988098342","https://openalex.org/W1990131059","https://openalex.org/W1995877162","https://openalex.org/W2016918495","https://openalex.org/W2027304881","https://openalex.org/W2032875789","https://openalex.org/W2073761272","https://openalex.org/W2078935747","https://openalex.org/W2081761481","https://openalex.org/W2085742889","https://openalex.org/W2088952494","https://openalex.org/W2094833671","https://openalex.org/W2099361755","https://openalex.org/W2109966077","https://openalex.org/W2111440442","https://openalex.org/W4292872153","https://openalex.org/W4294183731","https://openalex.org/W6670620210"],"related_works":["https://openalex.org/W2044787408","https://openalex.org/W4249228129","https://openalex.org/W2040820615","https://openalex.org/W2086585817","https://openalex.org/W155593081","https://openalex.org/W2738038633","https://openalex.org/W2378570201","https://openalex.org/W2009326938","https://openalex.org/W2998030147","https://openalex.org/W3091849091"],"abstract_inverted_index":{"In":[0],"this":[1],"note,":[2],"the":[3,13,18,66,89,92,101],"notion":[4],"of":[5,23,44,55,80,91,95,110],"integrability":[6,56,94],"is":[7,30,82,97,119],"defined":[8,11],"for":[9,35,104],"1-forms":[10,24,33,81,96],"in":[12,17,65],"time-delay":[14,36,106],"context.":[15],"While":[16],"delay-free":[19,67],"case,":[20],"a":[21,26,45,48,78,112,115],"set":[22,79],"defines":[25],"vector":[27],"space,":[28],"it":[29],"shown":[31],"that":[32],"computed":[34],"systems":[37],"have":[38],"to":[39,75,99],"be":[40],"viewed":[41],"as":[42],"elements":[43],"module":[46],"over":[47],"certain":[49,116],"non-commutative":[50],"polynomial":[51],"ring.":[52],"Two":[53],"notions":[54],"are":[57,73],"defined,":[58],"strong":[59],"and":[60,70],"weak":[61],"integrability,":[62],"which":[63],"coincide":[64],"case.":[68],"Necessary":[69],"sufficient":[71],"conditions":[72],"given":[74],"check":[76],"if":[77],"strongly":[83],"or":[84],"weakly":[85],"integrable.":[86],"To":[87],"show":[88],"importance":[90],"topic,":[93],"used":[98],"characterize":[100],"accessibility":[102],"property":[103],"nonlinear":[105],"systems.":[107],"The":[108],"possibility":[109],"transforming":[111],"system":[113],"into":[114],"normal":[117],"form":[118],"also":[120],"considered.":[121]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
