{"id":"https://openalex.org/W2345130507","doi":"https://doi.org/10.1080/00207721.2016.1177132","title":"Stability analysis of time-delay systems via free-matrix-based double integral inequality","display_name":"Stability analysis of time-delay systems via free-matrix-based double integral inequality","publication_year":2016,"publication_date":"2016-04-29","ids":{"openalex":"https://openalex.org/W2345130507","doi":"https://doi.org/10.1080/00207721.2016.1177132","mag":"2345130507"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2016.1177132","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2016.1177132","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/A5100380201","display_name":"Changchun Hua","orcid":"https://orcid.org/0000-0001-6311-2112"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]},{"id":"https://openalex.org/I4210128819","display_name":"Institute of Electrical Engineering","ror":"https://ror.org/033js6g46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128819"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Changchun Hua","raw_affiliation_strings":["Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China","institution_ids":["https://openalex.org/I39333907","https://openalex.org/I4210128819"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018302353","display_name":"Shuangshuang Wu","orcid":"https://orcid.org/0000-0002-4226-2039"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]},{"id":"https://openalex.org/I4210128819","display_name":"Institute of Electrical Engineering","ror":"https://ror.org/033js6g46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128819"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuangshuang Wu","raw_affiliation_strings":["Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China","institution_ids":["https://openalex.org/I39333907","https://openalex.org/I4210128819"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107482685","display_name":"Xian Yang","orcid":"https://orcid.org/0000-0002-9595-7280"},"institutions":[{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]},{"id":"https://openalex.org/I4210128819","display_name":"Institute of Electrical Engineering","ror":"https://ror.org/033js6g46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128819"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xian Yang","raw_affiliation_strings":["Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China","institution_ids":["https://openalex.org/I39333907","https://openalex.org/I4210128819"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100690710","display_name":"Xinping Guan","orcid":"https://orcid.org/0000-0003-1858-8538"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I39333907","display_name":"Yanshan University","ror":"https://ror.org/02txfnf15","country_code":"CN","type":"education","lineage":["https://openalex.org/I39333907"]},{"id":"https://openalex.org/I4210128819","display_name":"Institute of Electrical Engineering","ror":"https://ror.org/033js6g46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128819"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinping Guan","raw_affiliation_strings":["Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China; Department of Automation, Shanghai Jiao Tong University, Shanghai, China","Department of Automation, Shanghai Jiao Tong University, Shanghai, China","Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China; Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930","https://openalex.org/I39333907"]},{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China","institution_ids":["https://openalex.org/I39333907","https://openalex.org/I4210128819"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100380201"],"corresponding_institution_ids":["https://openalex.org/I39333907","https://openalex.org/I4210128819"],"apc_list":null,"apc_paid":null,"fwci":8.8076,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.97853854,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"48","issue":"2","first_page":"257","last_page":"263"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9984999895095825,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9983999729156494,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9825000166893005,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7930791974067688},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.6672275066375732},{"id":"https://openalex.org/keywords/multiple-integral","display_name":"Multiple integral","score":0.570794939994812},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.5661975145339966},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5207238793373108},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4254574477672577},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3361210227012634},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12246710062026978}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7930791974067688},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.6672275066375732},{"id":"https://openalex.org/C54865166","wikidata":"https://www.wikidata.org/wiki/Q844937","display_name":"Multiple integral","level":2,"score":0.570794939994812},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.5661975145339966},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5207238793373108},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4254574477672577},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3361210227012634},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12246710062026978},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2016.1177132","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2016.1177132","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:2:p:257-263","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2016.1177132","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5600000023841858}],"awards":[{"id":"https://openalex.org/G2892473968","display_name":null,"funder_award_id":"61290322, 61273222, 61322303, 61473248","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1195653569","https://openalex.org/W1506119886","https://openalex.org/W1927395284","https://openalex.org/W1965587013","https://openalex.org/W1981673401","https://openalex.org/W1985396299","https://openalex.org/W1986582332","https://openalex.org/W2005029259","https://openalex.org/W2008421196","https://openalex.org/W2016562720","https://openalex.org/W2016565902","https://openalex.org/W2031673504","https://openalex.org/W2037686415","https://openalex.org/W2040313521","https://openalex.org/W2040854238","https://openalex.org/W2055782680","https://openalex.org/W2059279280","https://openalex.org/W2062979564","https://openalex.org/W2071370074","https://openalex.org/W2084066012","https://openalex.org/W2095401836","https://openalex.org/W2097114089","https://openalex.org/W2108729010","https://openalex.org/W2108774236","https://openalex.org/W2113515346","https://openalex.org/W2136567646","https://openalex.org/W2480970951","https://openalex.org/W3105589176"],"related_works":["https://openalex.org/W2353153612","https://openalex.org/W2964073581","https://openalex.org/W2340243119","https://openalex.org/W2940853081","https://openalex.org/W3100605431","https://openalex.org/W3137172314","https://openalex.org/W4322580825","https://openalex.org/W2910133962","https://openalex.org/W2105570215","https://openalex.org/W2016121278"],"abstract_inverted_index":{"Based":[0],"on":[1],"the":[2,20,35,44,51,68,71,81,84,106,109],"free-weighting":[3],"matrix":[4,98],"and":[5,55],"integral-inequality":[6],"methods,":[7],"a":[8,26,64,87],"free-matrix-based":[9],"double":[10,22,46,57],"integral":[11,23,53],"inequality":[12,24,54,73],"is":[13,59,92],"proposed":[14,85,110],"in":[15,42,94],"this":[16],"paper,":[17],"which":[18,62],"includes":[19],"Wirtinger-based":[21,56],"as":[25],"special":[27],"case.":[28],"By":[29],"introducing":[30],"some":[31],"free":[32],"matrices":[33],"into":[34],"inequality,":[36,86],"more":[37],"freedom":[38],"can":[39],"be":[40,75],"provided":[41],"bounding":[43],"quadratic":[45],"integral.":[47],"The":[48],"connection":[49],"of":[50,70,83,96,108],"new":[52,72,88],"one":[58],"well":[60],"described,":[61],"gives":[63],"sufficient":[65],"condition":[66],"for":[67],"application":[69],"to":[74,79,104],"less":[76],"conservative.":[77],"Furthermore,":[78],"investigate":[80],"effectiveness":[82],"delay-dependent":[89],"stability":[90],"criterion":[91],"derived":[93],"terms":[95],"linear":[97],"inequalities.":[99],"Numerical":[100],"examples":[101],"are":[102],"given":[103],"demonstrate":[105],"advantages":[107],"method.":[111]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":8}],"updated_date":"2026-07-27T08:26:11.824852","created_date":"2025-10-10T00:00:00"}
