{"id":"https://openalex.org/W4389371336","doi":"https://doi.org/10.1109/tac.2023.3337691","title":"Generalized Dixon Resultant for Strong Delay-Independent Stability of Linear Systems With Multiple Delays","display_name":"Generalized Dixon Resultant for Strong Delay-Independent Stability of Linear Systems With Multiple Delays","publication_year":2023,"publication_date":"2023-12-06","ids":{"openalex":"https://openalex.org/W4389371336","doi":"https://doi.org/10.1109/tac.2023.3337691"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3337691","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3337691","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Automatic Control","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/A5088825373","display_name":"Jiazhi Cai","orcid":"https://orcid.org/0000-0001-9758-6279"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiazhi Cai","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-9758-6279","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056975635","display_name":"Qingbin Gao","orcid":"https://orcid.org/0000-0001-8032-5662"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingbin Gao","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-8032-5662","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100376155","display_name":"Yifan Liu","orcid":"https://orcid.org/0000-0002-7909-055X"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yifan Liu","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-7909-055X","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033967172","display_name":"Ai\u2010Guo Wu","orcid":"https://orcid.org/0000-0002-8264-0671"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Aiguo Wu","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-8264-0671","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5088825373"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":2.8694,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.91112868,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"69","issue":"4","first_page":"2697","last_page":"2704"},"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":0.9991999864578247,"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":0.9991999864578247,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/control-theory","display_name":"Control theory (sociology)","score":0.5878095626831055},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5481288433074951},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5411256551742554},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46187543869018555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4097924828529358},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37113887071609497},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2031610906124115},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16267427802085876}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5878095626831055},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5481288433074951},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5411256551742554},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46187543869018555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4097924828529358},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37113887071609497},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2031610906124115},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16267427802085876},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2023.3337691","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3337691","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5273150227","display_name":null,"funder_award_id":"62103119","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7973627099","display_name":null,"funder_award_id":"2022A1515011790","funder_id":"https://openalex.org/F4320337111","funder_display_name":"Basic and Applied Basic Research Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320337111","display_name":"Basic and Applied Basic Research Foundation of Guangdong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1977415556","https://openalex.org/W1979057868","https://openalex.org/W2029397348","https://openalex.org/W2035841808","https://openalex.org/W2099381337","https://openalex.org/W2136213876","https://openalex.org/W2169640173","https://openalex.org/W2348113605","https://openalex.org/W2467963231","https://openalex.org/W2500208023","https://openalex.org/W2566721025","https://openalex.org/W2810055417","https://openalex.org/W2945995295","https://openalex.org/W3008452081","https://openalex.org/W3090426526","https://openalex.org/W3111388643","https://openalex.org/W4210726114","https://openalex.org/W4211202937","https://openalex.org/W4250310797","https://openalex.org/W4301245546","https://openalex.org/W4306767810","https://openalex.org/W4309336594","https://openalex.org/W6625009813"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W1514662352"],"abstract_inverted_index":{"The":[0,44],"strong":[1,69],"delay-independent":[2],"stability":[3,65,78],"(DIS)":[4],"of":[5],"linear":[6],"time-invariant-retarded":[7],"multiple":[8],"time-delay":[9],"systems":[10],"(MTDSs)":[11],"is":[12,48,105],"studied":[13],"in":[14],"the":[15,27,33,40,54,63,68,83,94,113],"entire":[16],"delay":[17],"space.":[18],"We":[19],"develop":[20],"a":[21,125],"new":[22],"one-step":[23,103],"discriminant":[24,115],"approach":[25,104,116],"utilizing":[26],"generalized":[28],"Dixon":[29],"resultant,":[30],"which":[31,72],"unveils":[32],"necessary":[34],"and":[35,109],"sufficient":[36],"algebraic":[37],"condition":[38],"for":[39,67],"upper":[41],"frequency":[42,46],"bound.":[43],"lower":[45],"bound":[47],"rigorously":[49],"ascertained":[50],"by":[51,75],"further":[52],"inspecting":[53],"zero":[55],"spectrum.":[56],"Then,":[57],"we":[58,81,99],"raise":[59],"seven":[60],"postulates":[61],"concerning":[62],"system":[64],"state":[66],"DIS":[70],"analysis,":[71],"are":[73,136],"examined":[74],"four":[76],"independent":[77],"criteria.":[79],"Additionally,":[80],"integrate":[82],"Gaussian-elimination-based":[84],"rank":[85],"subdeterminant":[86],"calculation":[87],"into":[88],"our":[89,102],"algorithm":[90],"to":[91,112],"deal":[92],"with":[93,117,128],"degenerate":[95],"resultant":[96,120],"operator.":[97],"Finally,":[98],"prove":[100],"that":[101],"more":[106,129],"uniform,":[107],"automatic,":[108],"efficient":[110],"compared":[111],"iterated":[114],"successive":[118],"Sylvester":[119],"computations,":[121],"especially":[122],"when":[123],"tackling":[124],"complicated":[126],"MTDS":[127],"than":[130],"two":[131],"delays.":[132],"Several":[133],"example":[134],"cases":[135],"provided.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":9}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
