{"id":"https://openalex.org/W2088283735","doi":"https://doi.org/10.1137/070706963","title":"Oscillatority of Nonlinear Systems with Static Feedback","display_name":"Oscillatority of Nonlinear Systems with Static Feedback","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2088283735","doi":"https://doi.org/10.1137/070706963","mag":"2088283735"},"language":"en","primary_location":{"id":"doi:10.1137/070706963","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070706963","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://orbi.uliege.be/handle/2268/14360","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039416214","display_name":"Denis Efimov","orcid":"https://orcid.org/0000-0001-8847-5235"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Denis V. Efimov","raw_affiliation_strings":["efimov@montefiore.ulg.ac.be#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"efimov@montefiore.ulg.ac.be#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047874759","display_name":"\u0410lexander L. Fradkov","orcid":"https://orcid.org/0000-0002-5633-0944"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alexander L. Fradkov","raw_affiliation_strings":["alf@control.ipme.ru#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"alf@control.ipme.ru#TAB#","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.0612,"has_fulltext":false,"cited_by_count":46,"citation_normalized_percentile":{"value":0.97108903,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"48","issue":"2","first_page":"618","last_page":"640"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9997000098228455,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9997000098228455,"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/T10244","display_name":"Chaos control and synchronization","score":0.9994000196456909,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9945999979972839,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.785510778427124},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7469226717948914},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6904805898666382},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5689138174057007},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.556294322013855},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.5561224818229675},{"id":"https://openalex.org/keywords/van-der-pol-oscillator","display_name":"Van der Pol oscillator","score":0.5173755884170532},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4909222722053528},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.4898912310600281},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.48847687244415283},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.29720473289489746},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24293509125709534},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15591642260551453},{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.1211555004119873}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.785510778427124},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7469226717948914},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6904805898666382},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5689138174057007},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.556294322013855},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.5561224818229675},{"id":"https://openalex.org/C98010927","wikidata":"https://www.wikidata.org/wiki/Q2081515","display_name":"Van der Pol oscillator","level":3,"score":0.5173755884170532},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4909222722053528},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.4898912310600281},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.48847687244415283},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.29720473289489746},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24293509125709534},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15591642260551453},{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.1211555004119873},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/070706963","is_oa":false,"landing_page_url":"https://doi.org/10.1137/070706963","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.155.4220","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.155.4220","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.montefiore.ulg.ac.be/services/stochastic/pubs/2009/EF09a/Efimov_Fradkov_SIAM_JCO_2009.pdf","raw_type":"text"},{"id":"pmh:oai:orbi.ulg.ac.be:2268/14360","is_oa":true,"landing_page_url":"https://orbi.uliege.be/handle/2268/14360","pdf_url":null,"source":{"id":"https://openalex.org/S4306400651","display_name":"Open Repository and Bibliography (University of Li\u00e8ge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157674565","host_organization_name":"University of Li\u00e8ge","host_organization_lineage":["https://openalex.org/I157674565"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 48 (2), 618-640 (2009-02)","raw_type":"http://purl.org/coar/resource_type/c_6501"}],"best_oa_location":{"id":"pmh:oai:orbi.ulg.ac.be:2268/14360","is_oa":true,"landing_page_url":"https://orbi.uliege.be/handle/2268/14360","pdf_url":null,"source":{"id":"https://openalex.org/S4306400651","display_name":"Open Repository and Bibliography (University of Li\u00e8ge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I157674565","host_organization_name":"University of Li\u00e8ge","host_organization_lineage":["https://openalex.org/I157674565"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Control and Optimization, 48 (2), 618-640 (2009-02)","raw_type":"http://purl.org/coar/resource_type/c_6501"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1964053068","https://openalex.org/W1972945640","https://openalex.org/W2017493230","https://openalex.org/W2028022198","https://openalex.org/W2031785952","https://openalex.org/W2036826525","https://openalex.org/W2040939175","https://openalex.org/W2071367014","https://openalex.org/W2081837399","https://openalex.org/W2095477585","https://openalex.org/W2104146694","https://openalex.org/W2134078068","https://openalex.org/W2151136609","https://openalex.org/W2151527189","https://openalex.org/W2571200063"],"related_works":["https://openalex.org/W2372129196","https://openalex.org/W2376048186","https://openalex.org/W1890102852","https://openalex.org/W4383955238","https://openalex.org/W4386858665","https://openalex.org/W2149205801","https://openalex.org/W2573730770","https://openalex.org/W2371307312","https://openalex.org/W2390700585","https://openalex.org/W3014044074"],"abstract_inverted_index":{"New":[0],"Lyapunov-like":[1],"conditions":[2,19],"for":[3,27,38,52,75],"oscillatority":[4,47,67],"of":[5,11,29],"dynamical":[6],"systems":[7,24,54,65],"in":[8],"the":[9,46,53,56],"sense":[10],"Yakubovich":[12],"are":[13,20,41,58,92],"proposed.":[14,70],"Unlike":[15],"previous":[16],"results":[17,74,91],"these":[18],"applicable":[21],"to":[22],"nonlinear":[23,64],"and":[25,35,49,82],"allow":[26],"consideration":[28],"nonperiodic,":[30],"e.g.,":[31],"chaotic":[32],"modes.":[33],"Upper":[34],"lower":[36],"bounds":[37,48],"oscillations":[39],"amplitude":[40],"obtained.":[42],"The":[43],"relation":[44],"between":[45],"excitability":[50],"indices":[51],"with":[55,66],"input":[57],"established.":[59],"Control":[60],"design":[61],"procedure":[62],"providing":[63],"property":[68],"is":[69],"Examples":[71],"illustrating":[72],"proposed":[73],"Van":[76],"der":[77],"Pol":[78],"system,":[79,81],"Lorenz":[80],"Hindmarsh\u2013Rose":[83],"neuron":[84],"model":[85],"as":[86,88],"well":[87],"computer":[89],"simulation":[90],"given.":[93]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}