{"id":"https://openalex.org/W2053372562","doi":"https://doi.org/10.1109/cdc.2010.5717135","title":"A novel finite-sum inequality for stability of discrete-time linear systems with interval-like time-varying delays","display_name":"A novel finite-sum inequality for stability of discrete-time linear systems with interval-like time-varying delays","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2053372562","doi":"https://doi.org/10.1109/cdc.2010.5717135","mag":"2053372562"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5717135","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717135","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/conference_contribution/A_novel_finite-sum_inequality_for_stability_of_discrete-time_linear_systems_with_interval-like_time-varying_delays/13449389","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002870404","display_name":"Xian\u2010Ming Zhang","orcid":"https://orcid.org/0000-0003-0691-5386"},"institutions":[{"id":"https://openalex.org/I74899385","display_name":"Central Queensland University","ror":"https://ror.org/023q4bk22","country_code":"AU","type":"education","lineage":["https://openalex.org/I74899385"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Xian-Ming Zhang","raw_affiliation_strings":["Centre of Intelligent and Networked Systems and the School of Information and Communication Technology, Central Queensland University, Rockhampton, QLD, Australia","Centre for Intelligent and Networked Systems, and the School of Information and Communication Technology, Central Queensland University, Rockhampton, 4702, Australia"],"affiliations":[{"raw_affiliation_string":"Centre of Intelligent and Networked Systems and the School of Information and Communication Technology, Central Queensland University, Rockhampton, QLD, Australia","institution_ids":["https://openalex.org/I74899385"]},{"raw_affiliation_string":"Centre for Intelligent and Networked Systems, and the School of Information and Communication Technology, Central Queensland University, Rockhampton, 4702, Australia","institution_ids":["https://openalex.org/I74899385"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083874423","display_name":"Qing\u2010Long Han","orcid":"https://orcid.org/0000-0002-7207-0716"},"institutions":[{"id":"https://openalex.org/I74899385","display_name":"Central Queensland University","ror":"https://ror.org/023q4bk22","country_code":"AU","type":"education","lineage":["https://openalex.org/I74899385"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Qing-Long Han","raw_affiliation_strings":["Centre of Intelligent and Networked Systems and the School of Information and Communication Technology, Central Queensland University, Rockhampton, QLD, Australia","Centre for Intelligent and Networked Systems, and the School of Information and Communication Technology, Central Queensland University, Rockhampton, 4702, Australia"],"affiliations":[{"raw_affiliation_string":"Centre of Intelligent and Networked Systems and the School of Information and Communication Technology, Central Queensland University, Rockhampton, QLD, Australia","institution_ids":["https://openalex.org/I74899385"]},{"raw_affiliation_string":"Centre for Intelligent and Networked Systems, and the School of Information and Communication Technology, Central Queensland University, Rockhampton, 4702, Australia","institution_ids":["https://openalex.org/I74899385"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002870404"],"corresponding_institution_ids":["https://openalex.org/I74899385"],"apc_list":null,"apc_paid":null,"fwci":2.1842,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89187473,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"708","last_page":"713"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9829000234603882,"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":0.9819999933242798,"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/interval","display_name":"Interval (graph theory)","score":0.5363873839378357},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5169072151184082},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46341508626937866},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4557669758796692},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4157922863960266},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39410507678985596},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3837892711162567},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33600032329559326},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.1565624475479126},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06312364339828491}],"concepts":[{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5363873839378357},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5169072151184082},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46341508626937866},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4557669758796692},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4157922863960266},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39410507678985596},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3837892711162567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33600032329559326},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.1565624475479126},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06312364339828491}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2010.5717135","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5717135","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:figshare.com:article/13449389","is_oa":true,"landing_page_url":"https://figshare.com/articles/conference_contribution/A_novel_finite-sum_inequality_for_stability_of_discrete-time_linear_systems_with_interval-like_time-varying_delays/13449389","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:researchbank.swinburne.edu.au:1e3daaa4-20e6-411e-8092-a418990ee2fc/1","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.3/452843","pdf_url":null,"source":{"id":"https://openalex.org/S4306401157","display_name":"Swinburne Research Bank (Swinburne University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I57093077","host_organization_name":"Swinburne University of Technology","host_organization_lineage":["https://openalex.org/I57093077"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC 2010), Atlanta, Georgia, United States, 15-17 December 2010, pp. 708-713","raw_type":""}],"best_oa_location":{"id":"pmh:oai:figshare.com:article/13449389","is_oa":true,"landing_page_url":"https://figshare.com/articles/conference_contribution/A_novel_finite-sum_inequality_for_stability_of_discrete-time_linear_systems_with_interval-like_time-varying_delays/13449389","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1968452087","https://openalex.org/W1989212203","https://openalex.org/W2025733943","https://openalex.org/W2045463406","https://openalex.org/W2100134099","https://openalex.org/W2115139092","https://openalex.org/W2119099520","https://openalex.org/W2121017175","https://openalex.org/W6677250464","https://openalex.org/W6677954945"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W2090715877","https://openalex.org/W3151067166"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3],"the":[4,18,71,83,86,119,128,131],"stability":[5,102],"analysis":[6],"of":[7,64,66,85,130],"a":[8,58,99],"discrete-time":[9],"linear":[10],"system":[11],"with":[12,93],"an":[13],"interval-like":[14],"time-varying":[15],"delay":[16],"in":[17,82,98,118],"state.":[19],"A":[20],"novel":[21,100],"inequality":[22,68,91],"for":[23],"finite-sum":[24,87],"\u03a3":[25],"<sub":[26,42,47,74,78],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[27,30,34,43,48,75,79],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">j=(r1)</sub>":[28],"<sup":[29,33],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">(r2)-1</sup>":[31],"\u03c9":[32],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">T</sup>":[35],"(j)R\u03c9(j)":[36],"is":[37,57,69],"first":[38],"established,":[39],"where":[40],"r":[41,46,73],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[44,80],"and":[45,55],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[49,76],"are":[50,124],"integers":[51],"or":[52],"integer-valued":[53],"functions":[54],"R":[56],"symmetric":[59],"definite":[60],"positive":[61],"matrix.":[62],"One":[63],"advantages":[65],"this":[67],"that":[70],"factor":[72],"-r":[77],"appears":[81],"estimation":[84],"linearly.":[88],"The":[89],"new":[90],"together":[92],"convex":[94],"combination":[95],"technique":[96],"results":[97],"delay-dependent":[101],"criterion,":[103],"which":[104],"has":[105],"been":[106],"proven":[107],"theoretically":[108],"to":[109,126],"be":[110],"less":[111],"conservative":[112],"than":[113],"some":[114],"existing":[115],"ones":[116],"reported":[117],"literature.":[120],"Two":[121],"numerical":[122],"examples":[123],"given":[125],"show":[127],"validity":[129],"proposed":[132],"method.":[133]},"counts_by_year":[{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
