{"id":"https://openalex.org/W4387885807","doi":"https://doi.org/10.1109/access.2023.3327190","title":"Stability Analysis of Linear Systems With Interval Time-Varying Delay","display_name":"Stability Analysis of Linear Systems With Interval Time-Varying Delay","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4387885807","doi":"https://doi.org/10.1109/access.2023.3327190"},"language":"en","primary_location":{"id":"doi:10.1109/access.2023.3327190","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2023.3327190","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10292852.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10292852.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059672259","display_name":"Yu-Jie Chen","orcid":"https://orcid.org/0009-0005-9671-2831"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yu-Jie Chen","raw_affiliation_strings":["School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, China"],"raw_orcid":"https://orcid.org/0009-0005-9671-2831","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, China","institution_ids":["https://openalex.org/I49934816"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031597657","display_name":"Hong\u2010Bing Zeng","orcid":"https://orcid.org/0000-0002-0226-2405"},"institutions":[{"id":"https://openalex.org/I49934816","display_name":"Hunan University of Technology","ror":"https://ror.org/04j3vr751","country_code":"CN","type":"education","lineage":["https://openalex.org/I49934816"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hong-Bing Zeng","raw_affiliation_strings":["School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-0226-2405","affiliations":[{"raw_affiliation_string":"School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, China","institution_ids":["https://openalex.org/I49934816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5059672259"],"corresponding_institution_ids":["https://openalex.org/I49934816"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.124749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":null,"first_page":"120131","last_page":"120136"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12277","display_name":"Frequency Control in Power Systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12277","display_name":"Frequency Control in Power Systems","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9988999962806702,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/control-theory","display_name":"Control theory (sociology)","score":0.6831282377243042},{"id":"https://openalex.org/keywords/quadric","display_name":"Quadric","score":0.6670246124267578},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6493858098983765},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6008788347244263},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5870065689086914},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.5767666101455688},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5556749105453491},{"id":"https://openalex.org/keywords/derivative","display_name":"Derivative (finance)","score":0.4363930821418762},{"id":"https://openalex.org/keywords/time-derivative","display_name":"Time derivative","score":0.42495328187942505},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.41077911853790283},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36255234479904175},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3528546094894409},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.24544569849967957},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13725516200065613},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1049412190914154}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6831282377243042},{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.6670246124267578},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6493858098983765},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6008788347244263},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5870065689086914},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.5767666101455688},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5556749105453491},{"id":"https://openalex.org/C111771559","wikidata":"https://www.wikidata.org/wiki/Q66295","display_name":"Derivative (finance)","level":2,"score":0.4363930821418762},{"id":"https://openalex.org/C17685861","wikidata":"https://www.wikidata.org/wiki/Q6960532","display_name":"Time derivative","level":2,"score":0.42495328187942505},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.41077911853790283},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36255234479904175},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3528546094894409},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.24544569849967957},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13725516200065613},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1049412190914154},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2023.3327190","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2023.3327190","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10292852.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c6be1949b324431f9f26b25fc62f7f9b","is_oa":true,"landing_page_url":"https://doaj.org/article/c6be1949b324431f9f26b25fc62f7f9b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 11, Pp 120131-120136 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2023.3327190","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2023.3327190","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10292852.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2000214887","display_name":null,"funder_award_id":"62173136","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8953890331","display_name":null,"funder_award_id":"CX2308","funder_id":"https://openalex.org/F4320326692","funder_display_name":"Hunan University of Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322191","display_name":"Hunan University","ror":"https://ror.org/05htk5m33"},{"id":"https://openalex.org/F4320326692","display_name":"Hunan University of Science and Technology","ror":"https://ror.org/02m9vrb24"},{"id":"https://openalex.org/F4320330084","display_name":"Research and Innovation Foundation","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4387885807.pdf","grobid_xml":"https://content.openalex.org/works/W4387885807.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W325253995","https://openalex.org/W1506119886","https://openalex.org/W1963839355","https://openalex.org/W1986582332","https://openalex.org/W2016565902","https://openalex.org/W2037686415","https://openalex.org/W2123369396","https://openalex.org/W2165182598","https://openalex.org/W2358432708","https://openalex.org/W2560401208","https://openalex.org/W2786456277","https://openalex.org/W2806372745","https://openalex.org/W2916021631","https://openalex.org/W2922409343","https://openalex.org/W2991312250","https://openalex.org/W2995707071","https://openalex.org/W2997279909","https://openalex.org/W3006130150","https://openalex.org/W3016513568","https://openalex.org/W3046077266","https://openalex.org/W3104925872","https://openalex.org/W3115989238","https://openalex.org/W3143653154","https://openalex.org/W3159294241","https://openalex.org/W3178716799","https://openalex.org/W3209368111","https://openalex.org/W3215288747","https://openalex.org/W4200123795","https://openalex.org/W4210411078","https://openalex.org/W4210723311","https://openalex.org/W4225546897","https://openalex.org/W4225749424","https://openalex.org/W4240729697","https://openalex.org/W4281759871","https://openalex.org/W4294891610","https://openalex.org/W4295934563","https://openalex.org/W4308934138","https://openalex.org/W4309875282","https://openalex.org/W4311718418","https://openalex.org/W4312606238","https://openalex.org/W4361030042"],"related_works":["https://openalex.org/W2384882317","https://openalex.org/W2037264771","https://openalex.org/W2180954594","https://openalex.org/W2072899396","https://openalex.org/W2052835778","https://openalex.org/W1982642009","https://openalex.org/W2327777938","https://openalex.org/W1660957572","https://openalex.org/W4287812222","https://openalex.org/W3020605251"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,38,59,66,71,99,113,118],"problem":[4],"of":[5,7,58,101,117],"stability":[6,68,73,100],"systems":[8],"with":[9],"a":[10,93],"time":[11,16],"delay":[12,17,40,61],"is":[13,18,28,35,75],"investigated.":[14],"The":[15],"assumed":[19],"to":[20,111],"vary":[21],"in":[22,65,105],"an":[23],"interval,":[24],"and":[25,46,98,115],"its":[26],"derivative":[27],"unknown.":[29],"An":[30],"augmented":[31],"Lyapunov-Krasovskii":[32],"functional":[33],"(LKF)":[34],"constructed":[36],"considering":[37],"time-varying":[39,60],"fully.":[41],"By":[42],"augmenting":[43],"several":[44],"vectors":[45],"introducing":[47],"some":[48],"variable-augmented-based":[49],"free-weighting":[50],"matrices":[51],"(FWMs),":[52],"quadric":[53],"terms,":[54],"or":[55],"higher-order":[56],"terms":[57],"do":[62],"not":[63],"appear":[64],"derived":[67,72],"conditions.":[69],"Thus,":[70],"condition":[74],"presented":[76],"as":[77],"linear":[78],"matrix":[79],"inequalities":[80],"(LMIs),":[81],"which":[82],"existing":[83],"LMI":[84],"tools":[85],"can":[86],"readily":[87],"check.":[88],"Finally,":[89],"two":[90],"examples,":[91],"including":[92],"commonly":[94],"used":[95],"numerical":[96],"example":[97],"load-frequency":[102],"control":[103],"(LFC)":[104],"single-area":[106],"power":[107],"systems,":[108],"are":[109],"provided":[110],"demonstrate":[112],"validity":[114],"merits":[116],"proposed":[119],"method.":[120]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}