{"id":"https://openalex.org/W2030780917","doi":"https://doi.org/10.1109/icarcv.2014.7064466","title":"Contraposition Nyquist stability criteria for linear time-delayed systems of retarded type","display_name":"Contraposition Nyquist stability criteria for linear time-delayed systems of retarded type","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W2030780917","doi":"https://doi.org/10.1109/icarcv.2014.7064466","mag":"2030780917"},"language":"en","primary_location":{"id":"doi:10.1109/icarcv.2014.7064466","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2014.7064466","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 13th International Conference on Control Automation Robotics &amp; Vision (ICARCV)","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/A5101706576","display_name":"Jun Zhou","orcid":"https://orcid.org/0000-0002-2907-7269"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jun Zhou","raw_affiliation_strings":["Dept. of Automatic Control Engineering, Hohai Univ., Nanjing, China","Dept. of Automatic Control Engineering Hohai Univ., Nanjing 211100, China"],"affiliations":[{"raw_affiliation_string":"Dept. of Automatic Control Engineering, Hohai Univ., Nanjing, China","institution_ids":["https://openalex.org/I163340411"]},{"raw_affiliation_string":"Dept. of Automatic Control Engineering Hohai Univ., Nanjing 211100, China","institution_ids":["https://openalex.org/I163340411"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049310629","display_name":"Xinbiao Lu","orcid":"https://orcid.org/0000-0002-4392-1657"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinbiao Lu","raw_affiliation_strings":["Dept. of Automatic Control Engineering, Hohai Univ., Nanjing, China","Dept. of Automatic Control Engineering Hohai Univ., Nanjing 211100, China"],"affiliations":[{"raw_affiliation_string":"Dept. of Automatic Control Engineering, Hohai Univ., Nanjing, China","institution_ids":["https://openalex.org/I163340411"]},{"raw_affiliation_string":"Dept. of Automatic Control Engineering Hohai Univ., Nanjing 211100, China","institution_ids":["https://openalex.org/I163340411"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069767002","display_name":"Huimin Qian","orcid":"https://orcid.org/0000-0002-5976-1213"},"institutions":[{"id":"https://openalex.org/I163340411","display_name":"Hohai University","ror":"https://ror.org/01wd4xt90","country_code":"CN","type":"education","lineage":["https://openalex.org/I163340411"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huimin Qian","raw_affiliation_strings":["Dept. of Automatic Control Engineering, Hohai Univ., Nanjing, China","Dept. of Automatic Control Engineering Hohai Univ., Nanjing 211100, China"],"affiliations":[{"raw_affiliation_string":"Dept. of Automatic Control Engineering, Hohai Univ., Nanjing, China","institution_ids":["https://openalex.org/I163340411"]},{"raw_affiliation_string":"Dept. of Automatic Control Engineering Hohai Univ., Nanjing 211100, China","institution_ids":["https://openalex.org/I163340411"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101706576"],"corresponding_institution_ids":["https://openalex.org/I163340411"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11544858,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"46","issue":null,"first_page":"1142","last_page":"1146"},"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9952999949455261,"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":0.9950000047683716,"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/nyquist-stability-criterion","display_name":"Nyquist stability criterion","score":0.8665931224822998},{"id":"https://openalex.org/keywords/nyquist\u2013shannon-sampling-theorem","display_name":"Nyquist\u2013Shannon sampling theorem","score":0.7043863534927368},{"id":"https://openalex.org/keywords/nyquist-plot","display_name":"Nyquist plot","score":0.7024676203727722},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6305551528930664},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5698475241661072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5525062084197998},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.510941207408905},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.49247512221336365},{"id":"https://openalex.org/keywords/nyquist-rate","display_name":"Nyquist rate","score":0.45348212122917175},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3262813091278076},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1898171603679657},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11662188172340393},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1165352463722229},{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.10870158672332764},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09293580055236816},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.0739508867263794}],"concepts":[{"id":"https://openalex.org/C7630364","wikidata":"https://www.wikidata.org/wiki/Q1756793","display_name":"Nyquist stability criterion","level":3,"score":0.8665931224822998},{"id":"https://openalex.org/C288623","wikidata":"https://www.wikidata.org/wiki/Q679800","display_name":"Nyquist\u2013Shannon sampling theorem","level":2,"score":0.7043863534927368},{"id":"https://openalex.org/C195762429","wikidata":"https://www.wikidata.org/wiki/Q1756793","display_name":"Nyquist plot","level":5,"score":0.7024676203727722},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6305551528930664},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5698475241661072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5525062084197998},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.510941207408905},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.49247512221336365},{"id":"https://openalex.org/C65914096","wikidata":"https://www.wikidata.org/wiki/Q6273772","display_name":"Nyquist rate","level":4,"score":0.45348212122917175},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3262813091278076},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1898171603679657},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11662188172340393},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1165352463722229},{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.10870158672332764},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09293580055236816},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0739508867263794},{"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/C17525397","wikidata":"https://www.wikidata.org/wiki/Q176140","display_name":"Electrode","level":2,"score":0.0},{"id":"https://openalex.org/C52859227","wikidata":"https://www.wikidata.org/wiki/Q7877","display_name":"Electrochemistry","level":3,"score":0.0},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.0},{"id":"https://openalex.org/C7040849","wikidata":"https://www.wikidata.org/wiki/Q899580","display_name":"Dielectric spectroscopy","level":4,"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/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icarcv.2014.7064466","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2014.7064466","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 13th International Conference on Control Automation Robotics &amp; Vision (ICARCV)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W226262355","https://openalex.org/W639849754","https://openalex.org/W1607633954","https://openalex.org/W1979662243","https://openalex.org/W1988076923","https://openalex.org/W1988098342","https://openalex.org/W2014584331","https://openalex.org/W2027439801","https://openalex.org/W2035841808","https://openalex.org/W2069739074","https://openalex.org/W2072113078","https://openalex.org/W2072643351","https://openalex.org/W2079871064","https://openalex.org/W2084834371","https://openalex.org/W2100757047","https://openalex.org/W2112604844","https://openalex.org/W2118247702","https://openalex.org/W2134651339","https://openalex.org/W2137331053","https://openalex.org/W2144271726","https://openalex.org/W2166582611","https://openalex.org/W2170354024","https://openalex.org/W2467963231","https://openalex.org/W2525143841","https://openalex.org/W2798453318","https://openalex.org/W3110204697","https://openalex.org/W4211202937","https://openalex.org/W6608754640","https://openalex.org/W6677110542","https://openalex.org/W6685188645","https://openalex.org/W7034144185"],"related_works":["https://openalex.org/W2100446824","https://openalex.org/W2028352647","https://openalex.org/W1580703813","https://openalex.org/W2724644657","https://openalex.org/W2034217801","https://openalex.org/W2364721613","https://openalex.org/W1946827748","https://openalex.org/W2370888478","https://openalex.org/W3199656953","https://openalex.org/W2130723455"],"abstract_inverted_index":{"This":[0],"paper":[1],"reports":[2],"some":[3],"Nyquist-type":[4],"criteria":[5,30,56,82],"for":[6,49],"exponential/asymptotical":[7],"stability":[8,35],"in":[9,26,76],"linear":[10,50,77,89],"time-delayed":[11,78,90],"systems":[12],"of":[13,65],"retarded":[14],"type,":[15],"by":[16],"introducing":[17],"contraposition":[18],"separators":[19],"into":[20],"the":[21,97],"return":[22],"difference":[23],"ratio":[24],"relationships":[25],"feedbacks.":[27],"The":[28,53,80],"Nyquist":[29,55,66,81],"present":[31],"necessary":[32],"and":[33,43,74],"sufficient":[34],"conditions,":[36],"delays-dependent,":[37],"which":[38,68],"can":[39,83],"be":[40,84],"interpreted":[41],"similarly":[42],"examined":[44],"graphically":[45],"as":[46],"we":[47],"do":[48],"time-invariant":[51],"systems.":[52,79,91],"suggested":[54],"involve":[57],"neither":[58],"open-loop":[59,88],"characteristic":[60],"roots":[61],"distribution":[62],"nor":[63],"encirclement/orientation":[64],"loci,":[67],"are":[69,93],"not":[70],"available":[71],"even":[72],"approximately":[73],"finite-dimensionally":[75],"easily":[85],"applied":[86],"to":[87,95],"Examples":[92],"included":[94],"illustrate":[96],"results.":[98]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
