{"id":"https://openalex.org/W2090050009","doi":"https://doi.org/10.1016/s0005-1098(98)00227-1","title":"A Razumikhin-type lemma for functional differential equations with application to adaptive control","display_name":"A Razumikhin-type lemma for functional differential equations with application to adaptive control","publication_year":1999,"publication_date":"1999-05-01","ids":{"openalex":"https://openalex.org/W2090050009","doi":"https://doi.org/10.1016/s0005-1098(98)00227-1","mag":"2090050009"},"language":"en","primary_location":{"id":"doi:10.1016/s0005-1098(98)00227-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0005-1098(98)00227-1","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","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/A5054472321","display_name":"Franco Blanchini","orcid":"https://orcid.org/0000-0002-4109-5531"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"F. Blanchini","raw_affiliation_strings":["Dipartimento di Matematica ed Informatica, Universit\u00e0 degli Studi di Udine, via delle Scienze 208, 33100 Udine, Italy","Dipartimento di Matematica ed Informatica, Universit\u00e1 degli Studi di Udine, via delle Scienze 208, 33100 Udine, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica ed Informatica, Universit\u00e0 degli Studi di Udine, via delle Scienze 208, 33100 Udine, Italy","institution_ids":["https://openalex.org/I129043915"]},{"raw_affiliation_string":"Dipartimento di Matematica ed Informatica, Universit\u00e1 degli Studi di Udine, via delle Scienze 208, 33100 Udine, Italy","institution_ids":["https://openalex.org/I129043915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005751570","display_name":"E.P. Ryan","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"E.P. Ryan","raw_affiliation_strings":["Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK","Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Bath BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY, UK,","institution_ids":["https://openalex.org/I51601045"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054472321"],"corresponding_institution_ids":["https://openalex.org/I129043915"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":2.379,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.88152529,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"35","issue":"5","first_page":"809","last_page":"818"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9988999962806702,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9988999962806702,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9965000152587891,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9718000292778015,"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/lemma","display_name":"Lemma (botany)","score":0.8516886234283447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.746776282787323},{"id":"https://openalex.org/keywords/sobolev-space","display_name":"Sobolev space","score":0.6299484968185425},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5968584418296814},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5415312647819519},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.5199186205863953},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.483711302280426},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.47843649983406067},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45513641834259033},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.436230331659317},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4167989492416382},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3817126154899597},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.22252455353736877},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14209404587745667},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05148676037788391}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.8516886234283447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.746776282787323},{"id":"https://openalex.org/C99730327","wikidata":"https://www.wikidata.org/wiki/Q1501536","display_name":"Sobolev space","level":2,"score":0.6299484968185425},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5968584418296814},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5415312647819519},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.5199186205863953},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.483711302280426},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.47843649983406067},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45513641834259033},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.436230331659317},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4167989492416382},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3817126154899597},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.22252455353736877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14209404587745667},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05148676037788391},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0005-1098(98)00227-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0005-1098(98)00227-1","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.27.9255","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.9255","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.maths.bath.ac.uk/~epr/functional.ps.Z","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311521","display_name":"National University of Ireland","ror":"https://ror.org/00shsf120"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W43751815","https://openalex.org/W1587425810","https://openalex.org/W1607633954","https://openalex.org/W1963835453","https://openalex.org/W1995299431","https://openalex.org/W2038370511","https://openalex.org/W2047204019","https://openalex.org/W2072838077","https://openalex.org/W2103823343","https://openalex.org/W2126495118","https://openalex.org/W2146173882","https://openalex.org/W2172037983"],"related_works":["https://openalex.org/W2128067970","https://openalex.org/W1607633954","https://openalex.org/W2467963231","https://openalex.org/W1871467992","https://openalex.org/W2068450646","https://openalex.org/W2047204019","https://openalex.org/W1998922522","https://openalex.org/W2131864767","https://openalex.org/W2036169687","https://openalex.org/W3212975236","https://openalex.org/W2905940822","https://openalex.org/W646925703","https://openalex.org/W2950455896","https://openalex.org/W3195946802","https://openalex.org/W2510932435","https://openalex.org/W3043557595","https://openalex.org/W76499490","https://openalex.org/W3040272440","https://openalex.org/W3102385017","https://openalex.org/W2480031231"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
