{"id":"https://openalex.org/W2550068177","doi":"https://doi.org/10.1080/00207721.2016.1258598","title":"New results on stability analysis of singular time-delay systems","display_name":"New results on stability analysis of singular time-delay systems","publication_year":2016,"publication_date":"2016-11-22","ids":{"openalex":"https://openalex.org/W2550068177","doi":"https://doi.org/10.1080/00207721.2016.1258598","mag":"2550068177"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2016.1258598","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2016.1258598","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"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 Systems Science","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/A5073397536","display_name":"Guobao Liu","orcid":"https://orcid.org/0000-0002-8553-6167"},"institutions":[{"id":"https://openalex.org/I36399199","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62","country_code":"CN","type":"education","lineage":["https://openalex.org/I36399199"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Guobao Liu","raw_affiliation_strings":["School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation, Nanjing University of Science and Technology, Nanjing, P.R. China","institution_ids":["https://openalex.org/I36399199"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5073397536"],"corresponding_institution_ids":["https://openalex.org/I36399199"],"apc_list":null,"apc_paid":null,"fwci":2.3682,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.89528055,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"48","issue":"7","first_page":"1395","last_page":"1403"},"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":0.9994000196456909,"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":0.9994000196456909,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9973000288009644,"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/mathematics","display_name":"Mathematics","score":0.7885036468505859},{"id":"https://openalex.org/keywords/positive-definiteness","display_name":"Positive definiteness","score":0.780584454536438},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6444478034973145},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5096769332885742},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47176316380500793},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.456369549036026},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.45431753993034363},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.43802326917648315},{"id":"https://openalex.org/keywords/conservatism","display_name":"Conservatism","score":0.43303364515304565},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41626033186912537},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.33262577652931213},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2398201823234558},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1888202726840973},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15996667742729187},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.101422518491745},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.0536094605922699}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7885036468505859},{"id":"https://openalex.org/C2778265155","wikidata":"https://www.wikidata.org/wiki/Q7233276","display_name":"Positive definiteness","level":4,"score":0.780584454536438},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6444478034973145},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5096769332885742},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47176316380500793},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.456369549036026},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.45431753993034363},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.43802326917648315},{"id":"https://openalex.org/C96640997","wikidata":"https://www.wikidata.org/wiki/Q5163004","display_name":"Conservatism","level":3,"score":0.43303364515304565},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41626033186912537},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.33262577652931213},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2398201823234558},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1888202726840973},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15996667742729187},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.101422518491745},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0536094605922699},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political 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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2016.1258598","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2016.1258598","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"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 Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1395-1403","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2016.1258598","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5400000214576721,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G266292189","display_name":null,"funder_award_id":"30916015105","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G3598253831","display_name":null,"funder_award_id":"61403199","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4356523310","display_name":null,"funder_award_id":"BK20140770","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323191","display_name":"Nanjing University of Science and Technology","ror":"https://ror.org/00xp9wg62"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W151868298","https://openalex.org/W1506119886","https://openalex.org/W1506739583","https://openalex.org/W1530842515","https://openalex.org/W1579124710","https://openalex.org/W1586706860","https://openalex.org/W1965587013","https://openalex.org/W1974982330","https://openalex.org/W1981737882","https://openalex.org/W1984285111","https://openalex.org/W1996775144","https://openalex.org/W2004031606","https://openalex.org/W2012295847","https://openalex.org/W2014679349","https://openalex.org/W2016031226","https://openalex.org/W2016562720","https://openalex.org/W2030407955","https://openalex.org/W2034707592","https://openalex.org/W2037686415","https://openalex.org/W2039137535","https://openalex.org/W2041317148","https://openalex.org/W2045974142","https://openalex.org/W2048808247","https://openalex.org/W2051299571","https://openalex.org/W2059279280","https://openalex.org/W2071181927","https://openalex.org/W2076636390","https://openalex.org/W2078167295","https://openalex.org/W2084066012","https://openalex.org/W2087188891","https://openalex.org/W2097114089","https://openalex.org/W2100649435","https://openalex.org/W2123369396","https://openalex.org/W2146491774","https://openalex.org/W2201789293","https://openalex.org/W2276071760","https://openalex.org/W2414555924","https://openalex.org/W2536620281","https://openalex.org/W4210661935"],"related_works":["https://openalex.org/W2369793817","https://openalex.org/W2364489971","https://openalex.org/W2361979571","https://openalex.org/W4205226845","https://openalex.org/W3208377712","https://openalex.org/W2043819621","https://openalex.org/W2373372131","https://openalex.org/W2147922812","https://openalex.org/W2063005030","https://openalex.org/W1982955687"],"abstract_inverted_index":{"This":[0],"paper":[1],"deals":[2],"with":[3,13],"the":[4,20,24,57,65,70,88,92],"problem":[5],"of":[6,44,64,76,91],"delay-dependent":[7,28],"stability":[8,29],"analysis":[9],"for":[10],"singular":[11],"systems":[12],"a":[14,41],"constant":[15],"time":[16],"delay.":[17],"By":[18],"employing":[19],"Jensen":[21],"inequality":[22],"and":[23],"Wirtinger-based":[25],"inequality,":[26],"new":[27,42],"criteria":[30,71],"are":[31,67,72,84],"developed.":[32],"Furthermore,":[33],"in":[34,74],"order":[35],"to":[36,86],"obtain":[37],"less":[38,89],"conservative":[39],"results,":[40],"method":[43],"constructing":[45],"Lyapunov--Krasovskii":[46],"functionals":[47],"(LKFs)":[48],"is":[49],"used.":[50],"It":[51],"should":[52],"be":[53],"pointed":[54],"out":[55],"that":[56],"positive-definiteness":[58],"restrictions":[59],"on":[60],"some":[61],"symmetric":[62],"matrices":[63],"LKFs":[66],"removed.":[68],"All":[69],"proposed":[73],"terms":[75],"strict":[77],"linear":[78],"matrix":[79],"inequalities.":[80],"Finally,":[81],"numerical":[82],"examples":[83],"given":[85],"demonstrate":[87],"conservatism":[90],"results.":[93]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}