{"id":"https://openalex.org/W3200878871","doi":"https://doi.org/10.1109/access.2021.3114001","title":"A New Relaxed Lyapunov-Krasovskii Functional for Stability Analysis of Time-Varying Delay Systems","display_name":"A New Relaxed Lyapunov-Krasovskii Functional for Stability Analysis of Time-Varying Delay Systems","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3200878871","doi":"https://doi.org/10.1109/access.2021.3114001","mag":"3200878871"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3114001","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3114001","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09541158.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/ielx7/6287639/6514899/09541158.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018271778","display_name":"Liming Ding","orcid":"https://orcid.org/0000-0002-0928-6848"},"institutions":[{"id":"https://openalex.org/I12393601","display_name":"Huaihua University","ror":"https://ror.org/04zn6xq74","country_code":"CN","type":"education","lineage":["https://openalex.org/I12393601"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liming Ding","raw_affiliation_strings":["College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China and Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, Huaihua 418000, China. (e-mail: dlm19830112@163.com)","[College of Electrical and Information Engineering, Huaihua University, Huaihua, China]"],"raw_orcid":"https://orcid.org/0000-0002-0928-6848","affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China and Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, Huaihua 418000, China. (e-mail: dlm19830112@163.com)","institution_ids":["https://openalex.org/I12393601"]},{"raw_affiliation_string":"[College of Electrical and Information Engineering, Huaihua University, Huaihua, China]","institution_ids":["https://openalex.org/I12393601"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061697282","display_name":"Dajiang He","orcid":"https://orcid.org/0000-0003-2429-152X"},"institutions":[{"id":"https://openalex.org/I12393601","display_name":"Huaihua University","ror":"https://ror.org/04zn6xq74","country_code":"CN","type":"education","lineage":["https://openalex.org/I12393601"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dajiang He","raw_affiliation_strings":["College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China and Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, Huaihua 418000, China","[College of Electrical and Information Engineering, Huaihua University, Huaihua, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China and Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, Huaihua 418000, China","institution_ids":["https://openalex.org/I12393601"]},{"raw_affiliation_string":"[College of Electrical and Information Engineering, Huaihua University, Huaihua, China]","institution_ids":["https://openalex.org/I12393601"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101042987","display_name":"Xianwu Mi","orcid":"https://orcid.org/0000-0002-6829-2578"},"institutions":[{"id":"https://openalex.org/I12393601","display_name":"Huaihua University","ror":"https://ror.org/04zn6xq74","country_code":"CN","type":"education","lineage":["https://openalex.org/I12393601"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianwu Mi","raw_affiliation_strings":["College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China and Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, Huaihua 418000, China","[College of Electrical and Information Engineering, Huaihua University, Huaihua, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China and Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, Huaihua 418000, China","institution_ids":["https://openalex.org/I12393601"]},{"raw_affiliation_string":"[College of Electrical and Information Engineering, Huaihua University, Huaihua, China]","institution_ids":["https://openalex.org/I12393601"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101786512","display_name":"Wei Shu","orcid":"https://orcid.org/0009-0008-7619-4610"},"institutions":[{"id":"https://openalex.org/I12393601","display_name":"Huaihua University","ror":"https://ror.org/04zn6xq74","country_code":"CN","type":"education","lineage":["https://openalex.org/I12393601"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Shu","raw_affiliation_strings":["College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China and Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, Huaihua 418000, China","[College of Electrical and Information Engineering, Huaihua University, Huaihua, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China and Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, Huaihua 418000, China","institution_ids":["https://openalex.org/I12393601"]},{"raw_affiliation_string":"[College of Electrical and Information Engineering, Huaihua University, Huaihua, China]","institution_ids":["https://openalex.org/I12393601"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100655724","display_name":"Fang Liao","orcid":null},"institutions":[{"id":"https://openalex.org/I12393601","display_name":"Huaihua University","ror":"https://ror.org/04zn6xq74","country_code":"CN","type":"education","lineage":["https://openalex.org/I12393601"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang Liao","raw_affiliation_strings":["College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China","[College of Electrical and Information Engineering, Huaihua University, Huaihua, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China","institution_ids":["https://openalex.org/I12393601"]},{"raw_affiliation_string":"[College of Electrical and Information Engineering, Huaihua University, Huaihua, China]","institution_ids":["https://openalex.org/I12393601"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066500157","display_name":"Linwen Shao","orcid":null},"institutions":[{"id":"https://openalex.org/I12393601","display_name":"Huaihua University","ror":"https://ror.org/04zn6xq74","country_code":"CN","type":"education","lineage":["https://openalex.org/I12393601"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Linwen Shao","raw_affiliation_strings":["College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China","[College of Electrical and Information Engineering, Huaihua University, Huaihua, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical and Information Engineering, Huaihua University, Huaihua 418000, China","institution_ids":["https://openalex.org/I12393601"]},{"raw_affiliation_string":"[College of Electrical and Information Engineering, Huaihua University, Huaihua, China]","institution_ids":["https://openalex.org/I12393601"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I12393601"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.1389,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.45701882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"9","issue":null,"first_page":"130562","last_page":"130569"},"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":0.9995999932289124,"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":0.9995999932289124,"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":0.9988999962806702,"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"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.986299991607666,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6978409886360168},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.650249719619751},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5289364457130432},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.5223937034606934},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.48908764123916626},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.47310757637023926},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4723946750164032},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45394283533096313},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38908740878105164},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1030188500881195},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05613091588020325}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6978409886360168},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.650249719619751},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5289364457130432},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5223937034606934},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.48908764123916626},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.47310757637023926},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4723946750164032},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45394283533096313},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38908740878105164},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1030188500881195},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05613091588020325},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3114001","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3114001","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09541158.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c509112014a04292b784c4e0c5c9b1e2","is_oa":true,"landing_page_url":"https://doaj.org/article/c509112014a04292b784c4e0c5c9b1e2","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 9, Pp 130562-130569 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3114001","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3114001","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09541158.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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/G1986529311","display_name":null,"funder_award_id":"HHUY 201911","funder_id":"https://openalex.org/F4320329924","funder_display_name":"Huaihua University"},{"id":"https://openalex.org/G2635719652","display_name":null,"funder_award_id":"18A446","funder_id":"https://openalex.org/F4320311213","funder_display_name":"Education Department of Hunan Province"},{"id":"https://openalex.org/G7786625160","display_name":null,"funder_award_id":"2021JJ30544","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"}],"funders":[{"id":"https://openalex.org/F4320311213","display_name":"Education Department of Hunan Province","ror":"https://ror.org/05ckg3w11"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null},{"id":"https://openalex.org/F4320329924","display_name":"Huaihua University","ror":"https://ror.org/04zn6xq74"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3200878871.pdf","grobid_xml":"https://content.openalex.org/works/W3200878871.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W1189215103","https://openalex.org/W1530842515","https://openalex.org/W1586658033","https://openalex.org/W1586706860","https://openalex.org/W1963839355","https://openalex.org/W1979408645","https://openalex.org/W1985584401","https://openalex.org/W1986582332","https://openalex.org/W1988098342","https://openalex.org/W1993757229","https://openalex.org/W1998462963","https://openalex.org/W2016562720","https://openalex.org/W2034707592","https://openalex.org/W2035376284","https://openalex.org/W2037378252","https://openalex.org/W2037686415","https://openalex.org/W2079871064","https://openalex.org/W2082256594","https://openalex.org/W2109687780","https://openalex.org/W2116763514","https://openalex.org/W2150715742","https://openalex.org/W2194523473","https://openalex.org/W2344190494","https://openalex.org/W2358432708","https://openalex.org/W2370443609","https://openalex.org/W2467963231","https://openalex.org/W2526326594","https://openalex.org/W2530369881","https://openalex.org/W2546546403","https://openalex.org/W2559619233","https://openalex.org/W2745726220","https://openalex.org/W2753188986","https://openalex.org/W2756877916","https://openalex.org/W2757866090","https://openalex.org/W2876155548","https://openalex.org/W2913211836","https://openalex.org/W2916021631","https://openalex.org/W2966550257","https://openalex.org/W2995707071","https://openalex.org/W3003305961","https://openalex.org/W3035637409","https://openalex.org/W3039095191","https://openalex.org/W3046077266","https://openalex.org/W3090833144","https://openalex.org/W3094832876","https://openalex.org/W3104925872","https://openalex.org/W3108728922","https://openalex.org/W3143653154","https://openalex.org/W3151915213","https://openalex.org/W3158611763","https://openalex.org/W6646507457","https://openalex.org/W6766540947","https://openalex.org/W6792891770","https://openalex.org/W6794240034"],"related_works":["https://openalex.org/W1502458949","https://openalex.org/W2323830966","https://openalex.org/W188032563","https://openalex.org/W2362838148","https://openalex.org/W2359279826","https://openalex.org/W2085581092","https://openalex.org/W2361901126","https://openalex.org/W2387523877","https://openalex.org/W3210250802","https://openalex.org/W2360232153"],"abstract_inverted_index":{"In":[0],"this":[1,48],"paper,":[2],"the":[3,65,83,120],"stability":[4],"analysis":[5],"problem":[6],"of":[7,32,67,71,99,122],"time-varying":[8,88],"delay":[9,75],"systems":[10],"was":[11,54,79,108],"studied.":[12],"Based":[13],"on":[14,17],"recent":[15,92],"research":[16],"Lyapunov-Krasovskii":[18],"functionals":[19],"(LKFs),":[20],"relaxed":[21,52],"conditions":[22],"have":[23],"been":[24],"found":[25],"to":[26,56,81,96,118],"weaken":[27,57],"some":[28,37,58,91],"matrices":[29,59],"in":[30,60],"terms":[31,39,86],"LKFs,":[33],"which":[34],"means":[35],"that":[36],"integral":[38,85],"cannot":[40],"be":[41],"strictly":[42],"positive":[43],"definite.":[44],"Therefore,":[45],"motivate":[46],"by":[47,113],"consideration,":[49],"a":[50,102,104],"new":[51],"condition":[53],"constructed":[55,61],"LKF.":[62,100],"Then,":[63],"for":[64],"sake":[66],"obtaining":[68],"more":[69],"information":[70],"time":[72],"delays,":[73],"dynamic":[74],"interval":[76],"(DDI)":[77],"method":[78],"introduced":[80],"address":[82],"double":[84],"with":[87],"delay.":[89],"Furthermore,":[90],"technologies":[93],"were":[94,116],"employed":[95],"process":[97],"derivatives":[98],"As":[101],"consequence,":[103],"less":[105],"conservative":[106],"result":[107],"obtained.":[109],"The":[110],"examples":[111],"given":[112],"previous":[114],"papers":[115],"used":[117],"demonstrate":[119],"superiority":[121],"our":[123],"work.":[124]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
