{"id":"https://openalex.org/W2027452484","doi":"https://doi.org/10.1080/01969720290040858","title":"SUFFICIENT CONDITIONS FOR \u03b1-STABILITY OF LINEAR TIME-DELAY SYSTEMS","display_name":"SUFFICIENT CONDITIONS FOR \u03b1-STABILITY OF LINEAR TIME-DELAY SYSTEMS","publication_year":2002,"publication_date":"2002-12-01","ids":{"openalex":"https://openalex.org/W2027452484","doi":"https://doi.org/10.1080/01969720290040858","mag":"2027452484"},"language":"en","primary_location":{"id":"doi:10.1080/01969720290040858","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01969720290040858","pdf_url":null,"source":{"id":"https://openalex.org/S117436046","display_name":"Cybernetics & Systems","issn_l":"0196-9722","issn":["0196-9722","1087-6553"],"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":"Cybernetics and Systems","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/A5042326806","display_name":"Manuel De la Sen","orcid":"https://orcid.org/0000-0001-9320-9433"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. De La Sen","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042326806"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11078196,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"8","first_page":"835","last_page":"840"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9987999796867371,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9987999796867371,"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":0.9879999756813049,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9829999804496765,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7560781836509705},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6792408227920532},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6095956563949585},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6063603162765503},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.559550940990448},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46621188521385193},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4552454352378845},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.423096239566803},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35759907960891724},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33174967765808105},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21941182017326355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19534391164779663},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.12296301126480103}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7560781836509705},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6792408227920532},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6095956563949585},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6063603162765503},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.559550940990448},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46621188521385193},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4552454352378845},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.423096239566803},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35759907960891724},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33174967765808105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21941182017326355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19534391164779663},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.12296301126480103},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/01969720290040858","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01969720290040858","pdf_url":null,"source":{"id":"https://openalex.org/S117436046","display_name":"Cybernetics & Systems","issn_l":"0196-9722","issn":["0196-9722","1087-6553"],"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":"Cybernetics and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W4386900933","https://openalex.org/W4385301946","https://openalex.org/W4297797135","https://openalex.org/W3125672081","https://openalex.org/W1673581201","https://openalex.org/W2991991550","https://openalex.org/W64182352","https://openalex.org/W4289799755"],"abstract_inverted_index":{"The":[0,125],"asymptotic":[1],"stability":[2,123],"of":[3,27,46,91,102,114,138,178,188,197],"time-delayed":[4],"systems":[5],"subject":[6],"to":[7,117,131],"multiple":[8],"bounded":[9],"point":[10,181],"delays":[11,65,93,97,146,182],"has":[12],"received":[13],"important":[14],"attention":[15],"in":[16,63,77,156],"past":[17],"years":[18],"(see,":[19],"for":[20,88,143,175,191,193],"instance,":[21],"Bourles,":[22],"H.":[23],"1994.":[24],"International":[25],"Journal":[26,45],"Control":[28],",":[29,39,51],"59(2):":[30],"529-541;":[31],"De":[32],"la":[33,165],"Sen,":[34,166],"M.":[35],"2000.":[36,44],"Electronics":[37],"Letters":[38],"36(4):":[40],"373-374;":[41],"Xu,":[42,168],"B.":[43],"Mathematical":[47],"Analysis":[48],"and":[49,154,183],"Applications":[50],"282:":[52],"484-494).":[53],"It":[54],"is":[55,172],"basically":[56],"proved":[57],"that":[58,110,141],"the":[59,64,68,118,133,139,145,150,195],"local":[60],"f":[61,82],"-stability":[62],"(i.e.,":[66],"all":[67,122,144,185,194],"eigenvalues":[69,151],"have":[70],"prefixed":[71],"strictly":[72],"negative":[73],"real":[74],"parts":[75],"located":[76,155],"Re":[78,157],"s":[79,158],"h":[80,159],"-":[81,163],"<":[83],"0)":[84],"may":[85,127],"be":[86,128],"tested":[87],"a":[89,100,176],"set":[90,101,177],"admissible":[92],"including":[94],"possible":[95,186],"zero":[96],"either":[98],"through":[99],"Lyapunov":[103],"matrix":[104],"inequalities":[105],"or,":[106],"equivalently,":[107],"by":[108],"checking":[109],"an":[111],"identical":[112],"number":[113,171],"matrices":[115,196],"related":[116],"delayed":[119,198],"dynamics":[120,199],"are":[121,152],"matrices.":[124],"result":[126],"easily":[129],"extended":[130],"check":[132],"k":[134,160],"-asymptotic":[135],"stability,":[136],"independent":[137],"delays;":[140],"is,":[142],"having":[147],"any":[148],"values,":[149],"stable":[153],"M":[161],"0":[162],"(De":[164],"2000;":[167],"2000).":[169,201],"This":[170],"2":[173],"r":[174,179],"distinct":[180],"includes":[184],"cases":[187],"alternate":[189],"signs":[190],"summations":[192],"(Xu,":[200]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}