{"id":"https://openalex.org/W4385452033","doi":"https://doi.org/10.23919/ecc57647.2023.10178178","title":"Generalized Results for Stability Analysis of Time-Varying Delay Systems via Necessary and Sufficient Conditions on High-Order Polynomial Inequality","display_name":"Generalized Results for Stability Analysis of Time-Varying Delay Systems via Necessary and Sufficient Conditions on High-Order Polynomial Inequality","publication_year":2023,"publication_date":"2023-06-13","ids":{"openalex":"https://openalex.org/W4385452033","doi":"https://doi.org/10.23919/ecc57647.2023.10178178"},"language":"en","primary_location":{"id":"doi:10.23919/ecc57647.2023.10178178","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc57647.2023.10178178","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 European Control Conference (ECC)","raw_type":"proceedings-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/A5082812822","display_name":"Jun Hui Lee","orcid":"https://orcid.org/0000-0003-1155-8491"},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Jun Hui Lee","raw_affiliation_strings":["POSTECH,Department of Electrical Engineering,Pohang,South Korea","Department of Electrical Engineering, POSTECH, Pohang, South Korea"],"affiliations":[{"raw_affiliation_string":"POSTECH,Department of Electrical Engineering,Pohang,South Korea","institution_ids":["https://openalex.org/I123900574"]},{"raw_affiliation_string":"Department of Electrical Engineering, POSTECH, Pohang, South Korea","institution_ids":["https://openalex.org/I123900574"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088952968","display_name":"PooGyeon Park","orcid":"https://orcid.org/0000-0002-8249-5427"},"institutions":[{"id":"https://openalex.org/I123900574","display_name":"Pohang University of Science and Technology","ror":"https://ror.org/04xysgw12","country_code":"KR","type":"education","lineage":["https://openalex.org/I123900574"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"PooGyeon Park","raw_affiliation_strings":["POSTECH,Department of Electrical Engineering,Pohang,South Korea","Department of Electrical Engineering, POSTECH, Pohang, South Korea"],"affiliations":[{"raw_affiliation_string":"POSTECH,Department of Electrical Engineering,Pohang,South Korea","institution_ids":["https://openalex.org/I123900574"]},{"raw_affiliation_string":"Department of Electrical Engineering, POSTECH, Pohang, South Korea","institution_ids":["https://openalex.org/I123900574"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082812822"],"corresponding_institution_ids":["https://openalex.org/I123900574"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10047618,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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":0.9994999766349792,"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":0.9994999766349792,"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":0.9969000220298767,"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":0.9897000193595886,"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/mathematics","display_name":"Mathematics","score":0.7781385183334351},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.7490911483764648},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6493901610374451},{"id":"https://openalex.org/keywords/positive-definiteness","display_name":"Positive definiteness","score":0.6087964177131653},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5604206323623657},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.550327718257904},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5459467768669128},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5373422503471375},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.47275644540786743},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4565955102443695},{"id":"https://openalex.org/keywords/bernstein-polynomial","display_name":"Bernstein polynomial","score":0.4523818790912628},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41565749049186707},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.273274302482605},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26861923933029175},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1979566216468811},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11281886696815491},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.06777969002723694}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7781385183334351},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.7490911483764648},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6493901610374451},{"id":"https://openalex.org/C2778265155","wikidata":"https://www.wikidata.org/wiki/Q7233276","display_name":"Positive definiteness","level":4,"score":0.6087964177131653},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5604206323623657},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.550327718257904},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5459467768669128},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5373422503471375},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.47275644540786743},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4565955102443695},{"id":"https://openalex.org/C34179328","wikidata":"https://www.wikidata.org/wiki/Q826841","display_name":"Bernstein polynomial","level":2,"score":0.4523818790912628},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41565749049186707},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.273274302482605},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26861923933029175},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1979566216468811},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11281886696815491},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06777969002723694},{"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/ecc57647.2023.10178178","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc57647.2023.10178178","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5299999713897705}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W325253995","https://openalex.org/W1506119886","https://openalex.org/W1546613882","https://openalex.org/W1986582332","https://openalex.org/W2016562720","https://openalex.org/W2037686415","https://openalex.org/W2099443986","https://openalex.org/W2337719155","https://openalex.org/W2575158294","https://openalex.org/W2598206597","https://openalex.org/W2619229533","https://openalex.org/W2626984388","https://openalex.org/W2756877916","https://openalex.org/W2774771275","https://openalex.org/W2808048126","https://openalex.org/W2916021631","https://openalex.org/W2991312250","https://openalex.org/W3004783006","https://openalex.org/W3013649770","https://openalex.org/W3089439483","https://openalex.org/W3112492317","https://openalex.org/W3127080640","https://openalex.org/W3130447721","https://openalex.org/W3146879032","https://openalex.org/W3159736108","https://openalex.org/W3213484714","https://openalex.org/W4210602770","https://openalex.org/W4226069692","https://openalex.org/W4240729697","https://openalex.org/W4281759871"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1595588025","https://openalex.org/W1973940690","https://openalex.org/W1097487277","https://openalex.org/W2768610039","https://openalex.org/W4308265086","https://openalex.org/W2949964783","https://openalex.org/W2044959892","https://openalex.org/W2062963477","https://openalex.org/W2105228528"],"abstract_inverted_index":{"This":[0],"manuscript":[1],"suggests":[2],"generalized":[3,24,35,62,70,118],"stability":[4,87,119,123],"results":[5,120,124],"of":[6,45,102,125],"time-varying":[7],"delay":[8],"systems":[9],"by":[10,98],"utilizing":[11],"a":[12,23,34,46,80],"sufficient":[13,105],"and":[14,22,104],"necessary":[15,103],"condition":[16],"on":[17,79,107],"the":[18,28,38,42,61,72,76,86,93,100,117,122],"high-order":[19,81,108],"polynomial":[20,109],"inequality":[21,64,96],"integral":[25,48,63],"inequality.":[26,110],"Firstly,":[27],"Lyapunov-Krasovskii":[29],"functionals":[30],"are":[31,90],"established":[32],"in":[33,49,71],"form":[36,52],"to":[37,92],"bounding":[39,73],"order.":[40,74],"Secondly,":[41],"upper":[43],"bound":[44],"single":[47],"quadratic":[50],"matrix":[51,95],"stacked":[53],"with":[54],"two":[55],"state":[56],"information":[57],"is":[58],"estimated":[59],"through":[60],"which":[65],"can":[66],"provide":[67],"an":[68],"estimate":[69],"Finally,":[75],"negative-definiteness":[77],"conditions":[78,97,106],"matrix-valued":[82],"polynomial,":[83],"obtained":[84],"from":[85],"analysis":[88],"results,":[89],"converted":[91],"linear":[94],"applying":[99],"lemma":[101],"Two":[111],"numerical":[112],"examples":[113],"clearly":[114],"show":[115],"that":[116],"outperform":[121],"other":[126],"conventional":[127],"papers.":[128]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}