{"id":"https://openalex.org/W2062271252","doi":"https://doi.org/10.1093/imamci/dnm007","title":"Estimates of the attraction region for a class of nonlinear time-delay systems","display_name":"Estimates of the attraction region for a class of nonlinear time-delay systems","publication_year":2006,"publication_date":"2006-12-27","ids":{"openalex":"https://openalex.org/W2062271252","doi":"https://doi.org/10.1093/imamci/dnm007","mag":"2062271252"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnm007","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnm007","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-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/A5042467968","display_name":"Daniel Melchor\u2010Aguilar","orcid":"https://orcid.org/0000-0002-4751-9147"},"institutions":[{"id":"https://openalex.org/I147482076","display_name":"Institute for Scientific and Technological Research","ror":"https://ror.org/03sbzv212","country_code":"MX","type":"funder","lineage":["https://openalex.org/I147482076"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"D. Melchor-Aguilar","raw_affiliation_strings":["Divisi\u00f3n of Mat\u00e9matics Aplicadas y Sistemas Computacionales, Instituto Potosino de Investigaci\u00f3n Cient\u00edfica y Technol\u00f3gica, A.P.3-74, 78216 San Luis Potos\u00ed, SLP, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Divisi\u00f3n of Mat\u00e9matics Aplicadas y Sistemas Computacionales, Instituto Potosino de Investigaci\u00f3n Cient\u00edfica y Technol\u00f3gica, A.P.3-74, 78216 San Luis Potos\u00ed, SLP, M\u00e9xico","institution_ids":["https://openalex.org/I147482076"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058754609","display_name":"Silviu\u2010Iulian Niculescu","orcid":"https://orcid.org/0000-0002-3444-2566"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"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"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"S.-I. Niculescu","raw_affiliation_strings":["Laboratoire des Signaux et Syst\u00e8mes (L2S, UMR CNRS 8506), Centre National de la Recherche Scientifique-Sup\u00e9lec, 3 rue Joliot Curie, 91190 Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e8mes (L2S, UMR CNRS 8506), Centre National de la Recherche Scientifique-Sup\u00e9lec, 3 rue Joliot Curie, 91190 Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":2.8037,"has_fulltext":false,"cited_by_count":57,"citation_normalized_percentile":{"value":0.91225218,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"24","issue":"4","first_page":"523","last_page":"550"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9966999888420105,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/constructive","display_name":"Constructive","score":0.7996420860290527},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7782981395721436},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6779255867004395},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6419464349746704},{"id":"https://openalex.org/keywords/attraction","display_name":"Attraction","score":0.6356735229492188},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4627971649169922},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4602877199649811},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4359402060508728},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2790609896183014},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15110409259796143},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12094229459762573}],"concepts":[{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.7996420860290527},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7782981395721436},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6779255867004395},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6419464349746704},{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.6356735229492188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4627971649169922},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4602877199649811},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4359402060508728},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2790609896183014},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15110409259796143},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12094229459762573},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/imamci/dnm007","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnm007","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02271888v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02271888","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":"IMA Journal of Mathematical Control and Information, 2007, 24 (4), pp.523-550. ⟨10.1093/imamci/dnm007⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W580376454","https://openalex.org/W1484681331","https://openalex.org/W1487844866","https://openalex.org/W1607633954","https://openalex.org/W1933136131","https://openalex.org/W1986615027","https://openalex.org/W2023234737","https://openalex.org/W2047017331","https://openalex.org/W2063818274","https://openalex.org/W2074823107","https://openalex.org/W2079668284","https://openalex.org/W2080954565","https://openalex.org/W2081827062","https://openalex.org/W2118620232","https://openalex.org/W2118687002","https://openalex.org/W2130105600","https://openalex.org/W2143236448","https://openalex.org/W2150715742","https://openalex.org/W2613177098","https://openalex.org/W2616281733","https://openalex.org/W2618904884","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4386786398","https://openalex.org/W2138293586","https://openalex.org/W2080052720","https://openalex.org/W4319783074","https://openalex.org/W1503179180","https://openalex.org/W4319778501","https://openalex.org/W4255464147","https://openalex.org/W2021797003","https://openalex.org/W4313411469","https://openalex.org/W2151212570"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"various":[5],"estimates":[6],"of":[7,14,18,28],"the":[8,19,34,61],"attraction":[9],"region":[10],"for":[11],"a":[12,29],"class":[13],"nonlinear":[15,44],"time-delay":[16],"systems":[17],"form":[20],"The":[21],"approach":[22],"is":[23],"constructive":[24],"and":[25,55],"makes":[26],"use":[27],"Lyapunov\u2013Krasovskii":[30],"functional":[31],"associated":[32],"to":[33],"linear":[35],"part.":[36],"Several":[37],"illustrative":[38],"examples":[39],"(delayed":[40],"logistic":[41],"equation,":[42],"stabilizing":[43],"oscillations":[45],"by":[46],"delayed":[47],"output":[48],"feedback,":[49],"congestion":[50],"control":[51],"in":[52,58],"high-performance":[53],"networks":[54],"hereditary":[56],"phenomena":[57],"physics)":[59],"complete":[60],"presentation.":[62]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":7}],"updated_date":"2026-06-23T06:36:01.041984","created_date":"2025-10-10T00:00:00"}