{"id":"https://openalex.org/W2170852067","doi":"https://doi.org/10.1109/icarcv.2004.1469302","title":"2D algebraic test for robust stability of interval time-delay systems","display_name":"2D algebraic test for robust stability of interval time-delay systems","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2170852067","doi":"https://doi.org/10.1109/icarcv.2004.1469302","mag":"2170852067"},"language":"en","primary_location":{"id":"doi:10.1109/icarcv.2004.1469302","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2004.1469302","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004.","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/A5100442770","display_name":"Xiao Yang","orcid":"https://orcid.org/0000-0003-1675-1995"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yang Xiao","raw_affiliation_strings":["Institute of Information Science, Beijing Jiaotong University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Institute of Information Science, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100442770"],"corresponding_institution_ids":["https://openalex.org/I21193070"],"apc_list":null,"apc_paid":null,"fwci":1.7385,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.8761938,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":null,"first_page":"1620","last_page":"1625 Vol. 3"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T11236","display_name":"Control Systems and Identification","score":0.9990000128746033,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9975000023841858,"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/kharitonovs-theorem","display_name":"Kharitonov's theorem","score":0.8443280458450317},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6805592179298401},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6101740002632141},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5984769463539124},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.566216230392456},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5609301328659058},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5346609354019165},{"id":"https://openalex.org/keywords/stable-polynomial","display_name":"Stable polynomial","score":0.4902082085609436},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.47102412581443787},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4681437611579895},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.4570271372795105},{"id":"https://openalex.org/keywords/characteristic-polynomial","display_name":"Characteristic polynomial","score":0.4106540381908417},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3670438528060913},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34856438636779785},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.3118710517883301},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2630799114704132},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2438342273235321},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14488470554351807},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.12028384208679199},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08762660622596741},{"id":"https://openalex.org/keywords/alternating-polynomial","display_name":"Alternating polynomial","score":0.07643377780914307},{"id":"https://openalex.org/keywords/square-free-polynomial","display_name":"Square-free polynomial","score":0.06620815396308899}],"concepts":[{"id":"https://openalex.org/C173047080","wikidata":"https://www.wikidata.org/wiki/Q6400676","display_name":"Kharitonov's theorem","level":5,"score":0.8443280458450317},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6805592179298401},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6101740002632141},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5984769463539124},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.566216230392456},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5609301328659058},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5346609354019165},{"id":"https://openalex.org/C45025165","wikidata":"https://www.wikidata.org/wiki/Q13424738","display_name":"Stable polynomial","level":5,"score":0.4902082085609436},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.47102412581443787},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4681437611579895},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.4570271372795105},{"id":"https://openalex.org/C42321380","wikidata":"https://www.wikidata.org/wiki/Q849705","display_name":"Characteristic polynomial","level":3,"score":0.4106540381908417},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3670438528060913},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34856438636779785},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.3118710517883301},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2630799114704132},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2438342273235321},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14488470554351807},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.12028384208679199},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08762660622596741},{"id":"https://openalex.org/C170412648","wikidata":"https://www.wikidata.org/wiki/Q4736415","display_name":"Alternating polynomial","level":4,"score":0.07643377780914307},{"id":"https://openalex.org/C101525915","wikidata":"https://www.wikidata.org/wiki/Q7581979","display_name":"Square-free polynomial","level":4,"score":0.06620815396308899},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icarcv.2004.1469302","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2004.1469302","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICARCV 2004 8th Control, Automation, Robotics and Vision Conference, 2004.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1625698799","https://openalex.org/W1748076968","https://openalex.org/W1783379214","https://openalex.org/W2002239956","https://openalex.org/W2031088774","https://openalex.org/W2095675436","https://openalex.org/W2134651339","https://openalex.org/W2135985842","https://openalex.org/W2144271726","https://openalex.org/W2154065547","https://openalex.org/W2159363174","https://openalex.org/W2171605537","https://openalex.org/W6636525483","https://openalex.org/W6637932672","https://openalex.org/W6638035278","https://openalex.org/W6680041905","https://openalex.org/W6685167520"],"related_works":["https://openalex.org/W2023818677","https://openalex.org/W2391577669","https://openalex.org/W2040308058","https://openalex.org/W1543706171","https://openalex.org/W2905919007","https://openalex.org/W2379712779","https://openalex.org/W1489986405","https://openalex.org/W2015410487","https://openalex.org/W2131967299","https://openalex.org/W2028541862"],"abstract_inverted_index":{"It":[0],"is":[1,22],"difficult":[2],"to":[3,92,122],"determine":[4],"the":[5,15,20,26,33,67,75,79,87,101,117,120],"robust":[6,29,76,102],"stability":[7,30,42,77,103],"of":[8,17,19,28,32,43,70,78,81,104,119],"time-delay":[9,44,73],"systems":[10,21,45],"with":[11,46,62],"interval":[12,63,72,82,89,108],"parameters":[13,64],"because":[14],"number":[16],"eigenvalues":[18],"infinite.":[23],"To":[24],"solve":[25],"problem":[27],"test":[31,40,49,98],"systems,":[34],"we":[35],"develop":[36],"a":[37,57],"2D":[38,58,83,105],"algebraic":[39],"for":[41,100,113],"an":[47,114],"edge":[48],"set":[50],"based":[51,65],"on":[52,66],"Kharitonov":[53],"vertex":[54],"polynomials.":[55],"Constructing":[56],"s-z":[59,106],"hybrid":[60,107],"polynomial":[61,69,84,109],"characteristic":[68],"given":[71,88],"system,":[74],"edges":[80],"can":[85],"ensure":[86],"delay":[90],"system":[91],"be":[93,123],"stable.":[94],"Some":[95],"complex":[96],"Hurwitz-Schur":[97],"algorithms":[99],"are":[110],"provided.":[111],"Simulation":[112],"example":[115],"verifies":[116],"results":[118],"paper":[121],"correct.":[124]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
