{"id":"https://openalex.org/W2539661779","doi":"https://doi.org/10.1109/isic.2003.1254694","title":"Popov condition revisited for other nonlinear systems","display_name":"Popov condition revisited for other nonlinear systems","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2539661779","doi":"https://doi.org/10.1109/isic.2003.1254694","mag":"2539661779"},"language":"en","primary_location":{"id":"doi:10.1109/isic.2003.1254694","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2003.1254694","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 IEEE International Symposium on Intelligent Control ISIC-03","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/A5042421405","display_name":"Michel Cotsaftis","orcid":null},"institutions":[{"id":"https://openalex.org/I4210116658","display_name":"\u00c9cole Centrale d'\u00c9lectronique","ror":"https://ror.org/02k6n4s14","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210116658"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"M. Cotsaftis","raw_affiliation_strings":["LTME/ECE, Paris, France"],"affiliations":[{"raw_affiliation_string":"LTME/ECE, Paris, France","institution_ids":["https://openalex.org/I4210116658"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5042421405"],"corresponding_institution_ids":["https://openalex.org/I4210116658"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.63164692,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"4","issue":null,"first_page":"542","last_page":"547"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9955000281333923,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9955000281333923,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9944999814033508,"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/T12158","display_name":"Guidance and Control Systems","score":0.9851999878883362,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/nonlinear-system","display_name":"Nonlinear system","score":0.7737926244735718},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6963238716125488},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6806180477142334},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6778069138526917},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5737537145614624},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5499382615089417},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5225043892860413},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5076509714126587},{"id":"https://openalex.org/keywords/circle-criterion","display_name":"Circle criterion","score":0.4506129324436188},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.442328542470932},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.42415645718574524},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.26905035972595215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1387108862400055},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.13479959964752197},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08183962106704712},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06556728482246399}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7737926244735718},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6963238716125488},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6806180477142334},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6778069138526917},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5737537145614624},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5499382615089417},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5225043892860413},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5076509714126587},{"id":"https://openalex.org/C65521940","wikidata":"https://www.wikidata.org/wiki/Q5121443","display_name":"Circle criterion","level":4,"score":0.4506129324436188},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.442328542470932},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.42415645718574524},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26905035972595215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1387108862400055},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.13479959964752197},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08183962106704712},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06556728482246399},{"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/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/isic.2003.1254694","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isic.2003.1254694","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 IEEE International Symposium on Intelligent Control ISIC-03","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W132264163","https://openalex.org/W569093612","https://openalex.org/W603643841","https://openalex.org/W1590460147","https://openalex.org/W2026769037","https://openalex.org/W2039294728","https://openalex.org/W2064486942","https://openalex.org/W2137002893","https://openalex.org/W2149059981","https://openalex.org/W2169477456","https://openalex.org/W2492791808","https://openalex.org/W2567137345","https://openalex.org/W4235485079","https://openalex.org/W4300694852"],"related_works":["https://openalex.org/W2093530324","https://openalex.org/W2130216035","https://openalex.org/W2043892938","https://openalex.org/W1593898832","https://openalex.org/W1878770309","https://openalex.org/W166939899","https://openalex.org/W2142048021","https://openalex.org/W2756324413","https://openalex.org/W2387434961","https://openalex.org/W4362708037"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,77,84,114],"finding":[3],"an":[4],"explicit":[5],"stabilizing":[6],"control":[7,50,96],"for":[8,136,144],"dynamical":[9],"systems":[10,30,85],"with":[11,56],"sup":[12],"bounded":[13,18],"disturbance":[14,44,61],"and":[15,62,80,126,129],"nonlinear":[16,69,93,127,155],"terms":[17,128],"in":[19],"norm":[20],"by":[21,148],"a":[22,36,92,118,122],"non":[23,87,151],"decreasing":[24,88,152],"function":[25,153],"has":[26],"been":[27],"addressed.":[28],"These":[29],"often":[31],"exhibit":[32],"from":[33,108],"natural":[34],"bounds":[35],"(strong)":[37],"finite":[38],"time":[39],"Lagrange":[40],"instability":[41],"due":[42],"to":[43,60,66,73,99,112,121,131],"adverse":[45],"effect.":[46],"Linear":[47],"PD":[48,101],"type":[49,95],"law":[51,89],"produces":[52],"conditional":[53,103],"simple":[54],"stability":[55,105,134],"weak":[57],"system":[58,70,156],"robustness":[59,141],"shows":[63],"restricted":[64],"action":[65],"modify":[67],"complete":[68],"dynamics,":[71],"owing":[72],"the":[74,81,149],"limited":[75],"number":[76],"gain":[78],"parameters":[79],"large":[82],"class":[83,146],"satisfying":[86],"bound.":[90,139],"With":[91],"Lur'ie":[94],"part":[97],"added":[98],"linear":[100,125,138],"part,":[102],"asymptotic":[104],"is":[106,142],"obtained":[107,143],"Popov":[109],"condition,":[110],"equivalent":[111],"application":[113],"circle":[115],"criterium,":[116],"inside":[117],"ball":[119],"corresponding":[120],"balance":[123],"between":[124],"reducing":[130],"absolute":[132],"exponential":[133],"result":[135],"usual":[137],"Functional":[140],"equivalence":[145],"characterized":[147],"same":[150],"upperbounding":[154],"part.":[157]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
