{"id":"https://openalex.org/W2030122838","doi":"https://doi.org/10.1109/tac.2014.2299012","title":"Delay-Independent Stability Conditions for Some Classes of Nonlinear Systems","display_name":"Delay-Independent Stability Conditions for Some Classes of Nonlinear Systems","publication_year":2014,"publication_date":"2014-01-31","ids":{"openalex":"https://openalex.org/W2030122838","doi":"https://doi.org/10.1109/tac.2014.2299012","mag":"2030122838"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2299012","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2299012","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/A5016425865","display_name":"A. Yu. Aleksandrov","orcid":"https://orcid.org/0000-0001-7186-7996"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexander Yu. Aleksandrov","raw_affiliation_strings":["Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, St. Petersburg, Russia","Faculty of Applied Mathematics and Control Processes, St Petersburg State University, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]},{"raw_affiliation_string":"Faculty of Applied Mathematics and Control Processes, St Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021489495","display_name":"Guang\u2010Da Hu","orcid":"https://orcid.org/0000-0002-9590-201X"},"institutions":[{"id":"https://openalex.org/I92403157","display_name":"University of Science and Technology Beijing","ror":"https://ror.org/02egmk993","country_code":"CN","type":"education","lineage":["https://openalex.org/I92403157"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guang-Da Hu","raw_affiliation_strings":["University of Science and Technology Beijing, School of Automation and Electrical Engineering, Beijing, China","Key Laboratory for Advanced Control of Iron and Steel Process, School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China"],"affiliations":[{"raw_affiliation_string":"University of Science and Technology Beijing, School of Automation and Electrical Engineering, Beijing, China","institution_ids":["https://openalex.org/I92403157"]},{"raw_affiliation_string":"Key Laboratory for Advanced Control of Iron and Steel Process, School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China","institution_ids":["https://openalex.org/I92403157"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031864902","display_name":"Alexey P. Zhabko","orcid":"https://orcid.org/0000-0002-6379-0682"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexey P. Zhabko","raw_affiliation_strings":["Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, St. Petersburg, Russia","Faculty of Applied Mathematics and Control Processes, St Petersburg State University, St. Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Faculty of Applied Mathematics and Control Processes, St. Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]},{"raw_affiliation_string":"Faculty of Applied Mathematics and Control Processes, St Petersburg State University, St. Petersburg, Russia","institution_ids":["https://openalex.org/I172901346"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5016425865"],"corresponding_institution_ids":["https://openalex.org/I172901346"],"apc_list":null,"apc_paid":null,"fwci":6.1547,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.96255581,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"59","issue":"8","first_page":"2209","last_page":"2214"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9983000159263611,"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/mathematics","display_name":"Mathematics","score":0.7810026407241821},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.751218855381012},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7165272831916809},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6244771480560303},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6113094687461853},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.5626724362373352},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5523020029067993},{"id":"https://openalex.org/keywords/circle-criterion","display_name":"Circle criterion","score":0.4937630593776703},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4687877893447876},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4496123492717743},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.43384093046188354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3194798231124878},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16746756434440613},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1333363652229309},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.054453253746032715}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7810026407241821},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.751218855381012},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7165272831916809},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6244771480560303},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6113094687461853},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.5626724362373352},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5523020029067993},{"id":"https://openalex.org/C65521940","wikidata":"https://www.wikidata.org/wiki/Q5121443","display_name":"Circle criterion","level":4,"score":0.4937630593776703},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4687877893447876},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4496123492717743},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.43384093046188354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3194798231124878},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16746756434440613},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1333363652229309},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.054453253746032715},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2014.2299012","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2299012","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/G6209043616","display_name":null,"funder_award_id":"13-01-00376-a","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"},{"id":"https://openalex.org/F4320322515","display_name":"Saint Petersburg State University","ror":"https://ror.org/023znxa73"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W374079423","https://openalex.org/W783234814","https://openalex.org/W1506119886","https://openalex.org/W1533970237","https://openalex.org/W1871467992","https://openalex.org/W1963629795","https://openalex.org/W1969526176","https://openalex.org/W1973598961","https://openalex.org/W1980120884","https://openalex.org/W1982267787","https://openalex.org/W1983774289","https://openalex.org/W1990938973","https://openalex.org/W2010340595","https://openalex.org/W2027526023","https://openalex.org/W2040939175","https://openalex.org/W2049867758","https://openalex.org/W2051294036","https://openalex.org/W2070032842","https://openalex.org/W2080688746","https://openalex.org/W2086268041","https://openalex.org/W2113935828","https://openalex.org/W2141694008","https://openalex.org/W2143294995","https://openalex.org/W2154608673","https://openalex.org/W2159456770","https://openalex.org/W2161450707","https://openalex.org/W2165716201","https://openalex.org/W2290598342","https://openalex.org/W2618603727","https://openalex.org/W2618904884","https://openalex.org/W3005966069","https://openalex.org/W4207092385","https://openalex.org/W4211202937","https://openalex.org/W4300833285","https://openalex.org/W6643482385","https://openalex.org/W6696868639","https://openalex.org/W6738221310","https://openalex.org/W6738998044"],"related_works":["https://openalex.org/W3134030163","https://openalex.org/W2073906553","https://openalex.org/W2962472260","https://openalex.org/W3198848997","https://openalex.org/W2049124160","https://openalex.org/W2734649795","https://openalex.org/W1963827486","https://openalex.org/W4200136797","https://openalex.org/W2378841998","https://openalex.org/W2884265924"],"abstract_inverted_index":{"Some":[0],"classes":[1],"of":[2,15,53,64,75,82,118],"nonlinear":[3,96],"time-delay":[4,84],"systems":[5,94],"are":[6,89,109,113],"studied.":[7],"It":[8],"is":[9,18,23,37,46,68],"assumed":[10],"that":[11,39],"the":[12,28,33,41,44,50,54,61,65,76,106,119],"zero":[13],"solution":[14,67],"a":[16,83],"system":[17,45,55,85],"asymptotically":[19],"stable":[20],"when":[21,43],"delay":[22],"equal":[24],"to":[25,115],"zero.":[26],"By":[27],"Lyapunov":[29,107],"direct":[30],"method,":[31],"and":[32],"Razumikhin":[34],"approach,":[35],"it":[36],"shown":[38],"in":[40,101,105],"case":[42],"essentially":[47],"nonlinear,":[48],"i.e.,":[49],"right-hand":[51],"side":[52],"does":[56],"not":[57],"contain":[58],"linear":[59],"terms,":[60],"asymptotic":[62],"stability":[63,87,99],"trivial":[66],"preserved":[69],"for":[70],"an":[71],"arbitrary":[72],"positive":[73],"value":[74],"delay.":[77],"Based":[78],"on":[79],"homogeneous":[80],"approximation":[81],"some":[86],"conditions":[88,100],"found.":[90],"We":[91],"treat":[92],"large-scale":[93],"with":[95],"subsystems.":[97],"New":[98],"certain":[102],"cases,":[103],"critical":[104],"sense,":[108],"obtained.":[110],"Three":[111],"examples":[112],"given":[114],"demonstrate":[116],"effectiveness":[117],"presented":[120],"results.":[121]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6}],"updated_date":"2026-03-29T08:15:47.926485","created_date":"2025-10-10T00:00:00"}