{"id":"https://openalex.org/W2338435712","doi":"https://doi.org/10.1080/00207721.2016.1169333","title":"A delay-range-partition approach to analyse stability of linear systems with time-varying delays","display_name":"A delay-range-partition approach to analyse stability of linear systems with time-varying delays","publication_year":2016,"publication_date":"2016-04-15","ids":{"openalex":"https://openalex.org/W2338435712","doi":"https://doi.org/10.1080/00207721.2016.1169333","mag":"2338435712"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2016.1169333","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2016.1169333","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":true,"oa_status":"green","oa_url":null,"any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033339297","display_name":"Yu Xue","orcid":"https://orcid.org/0000-0002-8412-0565"},"institutions":[{"id":"https://openalex.org/I55022517","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975","country_code":"CN","type":"education","lineage":["https://openalex.org/I55022517"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Y. Xue","raw_affiliation_strings":["School of Mathematical Science, Heilongjiang University, Harbin, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Heilongjiang University, Harbin, China","institution_ids":["https://openalex.org/I55022517"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100356752","display_name":"Xiaodan Zhang","orcid":"https://orcid.org/0000-0002-2874-1519"},"institutions":[{"id":"https://openalex.org/I55022517","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975","country_code":"CN","type":"education","lineage":["https://openalex.org/I55022517"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"X. Zhang","raw_affiliation_strings":["School of Mathematical Science, Heilongjiang University, Harbin, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Heilongjiang University, Harbin, China","institution_ids":["https://openalex.org/I55022517"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101564908","display_name":"Yuanyuan Han","orcid":"https://orcid.org/0000-0002-3440-0999"},"institutions":[{"id":"https://openalex.org/I55022517","display_name":"Heilongjiang University","ror":"https://ror.org/04zyhq975","country_code":"CN","type":"education","lineage":["https://openalex.org/I55022517"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Y. Y. Han","raw_affiliation_strings":["School of Mathematical Science, Heilongjiang University, Harbin, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Science, Heilongjiang University, Harbin, China","institution_ids":["https://openalex.org/I55022517"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112100110","display_name":"Michael Shi","orcid":null},"institutions":[{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"M. Shi","raw_affiliation_strings":["School of Health and Biomedical Sciences, RMIT University, Melbourne, Australia"],"affiliations":[{"raw_affiliation_string":"School of Health and Biomedical Sciences, RMIT University, Melbourne, Australia","institution_ids":["https://openalex.org/I82951845"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100356752"],"corresponding_institution_ids":["https://openalex.org/I55022517"],"apc_list":null,"apc_paid":null,"fwci":1.0832,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78609338,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"47","issue":"16","first_page":"3970","last_page":"3977"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9983000159263611,"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":0.995199978351593,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7526204586029053},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6787184476852417},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.6517534255981445},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6460542678833008},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5676522254943848},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5370951890945435},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5286655426025391},{"id":"https://openalex.org/keywords/multiple-integral","display_name":"Multiple integral","score":0.5187804698944092},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.472512811422348},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46131062507629395},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19858485460281372},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18346673250198364},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15721622109413147}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7526204586029053},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6787184476852417},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.6517534255981445},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6460542678833008},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5676522254943848},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5370951890945435},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5286655426025391},{"id":"https://openalex.org/C54865166","wikidata":"https://www.wikidata.org/wiki/Q844937","display_name":"Multiple integral","level":2,"score":0.5187804698944092},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.472512811422348},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46131062507629395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19858485460281372},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18346673250198364},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15721622109413147},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1080/00207721.2016.1169333","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2016.1169333","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:47:y:2016:i:16:p:3970-3977","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2016.1169333","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"},{"id":"pmh:oai:figshare.com:article/27526074","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/27526074","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G265711357","display_name":null,"funder_award_id":"F201326","funder_id":"https://openalex.org/F4320323085","funder_display_name":"Natural Science Foundation of Heilongjiang Province"},{"id":"https://openalex.org/G3651125264","display_name":null,"funder_award_id":"A201416","funder_id":"https://openalex.org/F4320323085","funder_display_name":"Natural Science Foundation of Heilongjiang Province"},{"id":"https://openalex.org/G8305113123","display_name":null,"funder_award_id":"11371006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323085","display_name":"Natural Science Foundation of Heilongjiang Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1545352440","https://openalex.org/W1547514605","https://openalex.org/W1964154533","https://openalex.org/W1965587013","https://openalex.org/W1968660011","https://openalex.org/W1969471037","https://openalex.org/W1981238536","https://openalex.org/W1981673401","https://openalex.org/W1986582332","https://openalex.org/W1990433697","https://openalex.org/W1992039099","https://openalex.org/W1995007479","https://openalex.org/W1999479145","https://openalex.org/W2003128298","https://openalex.org/W2005933709","https://openalex.org/W2016565902","https://openalex.org/W2028861710","https://openalex.org/W2029399628","https://openalex.org/W2034876829","https://openalex.org/W2035098957","https://openalex.org/W2037686415","https://openalex.org/W2040313521","https://openalex.org/W2056987007","https://openalex.org/W2061996363","https://openalex.org/W2062503476","https://openalex.org/W2064264321","https://openalex.org/W2077320235","https://openalex.org/W2084066012","https://openalex.org/W2106924292","https://openalex.org/W2123369396","https://openalex.org/W2125000767","https://openalex.org/W2153764327","https://openalex.org/W2299724360","https://openalex.org/W4399339043"],"related_works":["https://openalex.org/W2267059662","https://openalex.org/W4388411807","https://openalex.org/W2364268683","https://openalex.org/W2478803962","https://openalex.org/W2144570076","https://openalex.org/W3169430512","https://openalex.org/W2384804534","https://openalex.org/W2154069781","https://openalex.org/W2304968498","https://openalex.org/W1519906715"],"abstract_inverted_index":{"In":[0],"this":[1,95],"paper,":[2,96],"the":[3,27,31,54,58,61,75,87,90,108],"stability":[4,68,91],"analysis":[5],"of":[6,26,57,60,78,89],"linear":[7],"systems":[8],"with":[9,107],"an":[10],"interval":[11],"time-varying":[12],"delay":[13,79],"is":[14,80],"investigated.":[15],"First,":[16],"augmented":[17,62],"Lyapunov\u2013Krasovskii":[18,63],"functionals":[19],"are":[20,40,50,70,100,105],"constructed,":[21],"which":[22,39],"include":[23],"more":[24],"information":[25],"delay's":[28,32],"range":[29],"and":[30,47,102],"derivative.":[33],"Second,":[34],"two":[35,97],"improved":[36],"integral":[37,45],"inequalities,":[38,46],"less":[41,66],"conservative":[42,67],"than":[43],"Jensen's":[44],"delay-range-partition":[48],"approach":[49],"utilised":[51],"to":[52,85],"estimate":[53],"upper":[55],"bounds":[56],"derivatives":[59],"functionals.":[64],"Then,":[65],"criteria":[69,92],"proposed":[71,93],"no":[72],"matter":[73],"whether":[74],"lower":[76],"bound":[77],"zero":[81],"or":[82],"not.":[83],"Finally,":[84],"illustrate":[86],"effectiveness":[88],"in":[94],"numerical":[98],"examples":[99],"given":[101],"their":[103],"results":[104],"compared":[106],"existing":[109],"results.":[110]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
