{"id":"https://openalex.org/W3122326011","doi":"https://doi.org/10.1080/00207179.2021.1949045","title":"Estimates for solutions of homogeneous time-delay systems: comparison of Lyapunov\u2013Krasovskii and Lyapunov\u2013Razumikhin techniques","display_name":"Estimates for solutions of homogeneous time-delay systems: comparison of Lyapunov\u2013Krasovskii and Lyapunov\u2013Razumikhin techniques","publication_year":2021,"publication_date":"2021-07-06","ids":{"openalex":"https://openalex.org/W3122326011","doi":"https://doi.org/10.1080/00207179.2021.1949045","mag":"3122326011"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2021.1949045","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2021.1949045","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2101.10139","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051947611","display_name":"Gerson Portilla","orcid":"https://orcid.org/0000-0002-9030-6200"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Gerson Portilla","raw_affiliation_strings":["Department of Automatic Control, CINVESTAV-IPN, Mexico D.F., Mexico","Department of Automatic Control, CINVESTAV-IPN Mexico, D.F., Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, CINVESTAV-IPN, Mexico D.F., Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"Department of Automatic Control, CINVESTAV-IPN Mexico, D.F., Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111604907","display_name":"Irina V. \u0410lexandrova","orcid":null},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Irina V. Alexandrova","raw_affiliation_strings":["Department of Control Theory, St. Petersburg State University, St. Petersburg, Russia","Saint Petersburg state University"],"affiliations":[{"raw_affiliation_string":"Department of Control Theory, St. Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]},{"raw_affiliation_string":"Saint Petersburg state University","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043301628","display_name":"Sabine Mondi\u00e9","orcid":"https://orcid.org/0000-0002-0968-1899"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Center for Research and Advanced Studies of the National Polytechnic Institute","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Sabine Mondi\u00e9","raw_affiliation_strings":["Department of Automatic Control, CINVESTAV-IPN, Mexico D.F., Mexico","Department of Automatic Control, CINVESTAV-IPN Mexico, D.F., Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control, CINVESTAV-IPN, Mexico D.F., Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"Department of Automatic Control, CINVESTAV-IPN Mexico, D.F., Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031864902","display_name":"Alexey P. Zhabko","orcid":"https://orcid.org/0000-0002-6379-0682"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexey P. Zhabko","raw_affiliation_strings":["Department of Control Theory, St. Petersburg State University, St. Petersburg, Russia","Department of Control Theory, St. Petersburg State University , St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Department of Control Theory, St. Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]},{"raw_affiliation_string":"Department of Control Theory, St. Petersburg State University , St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5051947611"],"corresponding_institution_ids":["https://openalex.org/I68368234"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01146346,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"95","issue":"11","first_page":"3002","last_page":"3011"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13181","display_name":"Economic and Technological Systems Analysis","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1405","display_name":"Management of Technology and Innovation"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13181","display_name":"Economic and Technological Systems Analysis","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1405","display_name":"Management of Technology and Innovation"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13785","display_name":"Aquatic and Environmental Studies","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9830999970436096,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/homogeneous","display_name":"Homogeneous","score":0.7738171815872192},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7006164193153381},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6440536975860596},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6123504042625427},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5789234042167664},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5612211227416992},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.486186683177948},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4601050615310669},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29326295852661133},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2640228271484375},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1382206678390503},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07742476463317871},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0724828839302063}],"concepts":[{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.7738171815872192},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7006164193153381},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6440536975860596},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6123504042625427},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5789234042167664},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5612211227416992},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.486186683177948},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4601050615310669},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29326295852661133},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2640228271484375},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1382206678390503},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07742476463317871},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0724828839302063},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/00207179.2021.1949045","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2021.1949045","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2101.10139","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.10139","pdf_url":"https://arxiv.org/pdf/2101.10139","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3122326011","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2101.10139.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2101.10139","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2101.10139","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2101.10139","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2101.10139","pdf_url":"https://arxiv.org/pdf/2101.10139","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"},{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"},{"id":"https://openalex.org/F4320335331","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3122326011.pdf","grobid_xml":"https://content.openalex.org/works/W3122326011.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W609884359","https://openalex.org/W1506119886","https://openalex.org/W1966600609","https://openalex.org/W2030122838","https://openalex.org/W2038682065","https://openalex.org/W2060795898","https://openalex.org/W2063818274","https://openalex.org/W2080688746","https://openalex.org/W2199705537","https://openalex.org/W2306034208","https://openalex.org/W2476873013","https://openalex.org/W3118605997"],"related_works":["https://openalex.org/W3180188844","https://openalex.org/W3185223771","https://openalex.org/W3160712870","https://openalex.org/W3150213419","https://openalex.org/W2914047797","https://openalex.org/W2486631192","https://openalex.org/W2091828252","https://openalex.org/W2149298961","https://openalex.org/W3013844858","https://openalex.org/W2000616838","https://openalex.org/W3029310840","https://openalex.org/W2025733943","https://openalex.org/W2791420330","https://openalex.org/W1991276509","https://openalex.org/W2581677842","https://openalex.org/W2901495824","https://openalex.org/W2884139932","https://openalex.org/W2114251300","https://openalex.org/W2516419844","https://openalex.org/W2513084944"],"abstract_inverted_index":{"In":[0],"this":[1],"contribution,":[2],"the":[3,6,30,39,46,60,69,78],"estimates":[4,58,67],"for":[5],"response":[7],"of":[8,17,45,59,62,68],"time":[9],"delay":[10],"systems":[11],"with":[12],"nonlinear":[13],"homogeneous":[14],"right-hand":[15],"side":[16],"degree":[18],"strictly":[19],"greater":[20],"than":[21],"one":[22],"are":[23,33],"constructed.":[24],"The":[25],"existing":[26],"results":[27],"obtained":[28],"via":[29],"Lyapunov--Razumikhin":[31],"approach":[32],"reminded.":[34],"Their":[35],"proofs,":[36],"revisited":[37],"in":[38],"appendix,":[40],"lead":[41],"to":[42],"explicit":[43],"expressions":[44],"involved":[47],"constants.":[48],"Based":[49],"on":[50],"a":[51],"recently":[52],"introduced":[53],"Lyapunov--Krasovskii":[54],"functional":[55],"and":[56,76],"known":[57],"domain":[61],"attraction,":[63],"we":[64],"present":[65],"new":[66],"system":[70],"response.":[71],"We":[72],"compare":[73],"both":[74],"approaches":[75],"discuss":[77],"illustrative":[79],"examples.":[80]},"counts_by_year":[],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2025-10-10T00:00:00"}