{"id":"https://openalex.org/W2147582693","doi":"https://doi.org/10.1109/tcsii.2008.2010164","title":"Local Robustness of Hopf Bifurcation Stabilization","display_name":"Local Robustness of Hopf Bifurcation Stabilization","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2147582693","doi":"https://doi.org/10.1109/tcsii.2008.2010164","mag":"2147582693"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2008.2010164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2008.2010164","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5017829657","display_name":"Tiebao Yang","orcid":null},"institutions":[{"id":"https://openalex.org/I74413500","display_name":"University of Windsor","ror":"https://ror.org/01gw3d370","country_code":"CA","type":"education","lineage":["https://openalex.org/I74413500"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Tiebao Yang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Windsor, Winsor, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Windsor, Winsor, ONT, Canada","institution_ids":["https://openalex.org/I74413500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100441907","display_name":"Xiang Chen","orcid":"https://orcid.org/0000-0002-0557-0905"},"institutions":[{"id":"https://openalex.org/I74413500","display_name":"University of Windsor","ror":"https://ror.org/01gw3d370","country_code":"CA","type":"education","lineage":["https://openalex.org/I74413500"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Xiang Chen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Windsor, Winsor, ONT, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Windsor, Winsor, ONT, Canada","institution_ids":["https://openalex.org/I74413500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017829657"],"corresponding_institution_ids":["https://openalex.org/I74413500"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.12278523,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"56","issue":"1","first_page":"66","last_page":"70"},"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":0.9997000098228455,"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/T10046","display_name":"Stability and Control of Uncertain 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/T12772","display_name":"Control and Stability of Dynamical 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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9970999956130981,"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/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.5545222759246826},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.525448739528656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4374622702598572},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4334881901741028},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3939010500907898},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.33054250478744507},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3296462595462799},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23337942361831665},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0899071991443634}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.5545222759246826},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.525448739528656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4374622702598572},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4334881901741028},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3939010500907898},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.33054250478744507},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3296462595462799},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23337942361831665},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0899071991443634},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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},{"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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2008.2010164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2008.2010164","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W2015253109","https://openalex.org/W2018616026","https://openalex.org/W2022570650","https://openalex.org/W2026246097","https://openalex.org/W2038150727","https://openalex.org/W2049992072","https://openalex.org/W2065513785","https://openalex.org/W2077413072","https://openalex.org/W2134248274","https://openalex.org/W2134869135","https://openalex.org/W2148970056","https://openalex.org/W2171972486","https://openalex.org/W2483933855","https://openalex.org/W4205561218"],"related_works":["https://openalex.org/W2770593030","https://openalex.org/W4281727072","https://openalex.org/W4312219546","https://openalex.org/W3154990682","https://openalex.org/W2171975302","https://openalex.org/W1589637664","https://openalex.org/W2560201613","https://openalex.org/W2142809053","https://openalex.org/W1532073221","https://openalex.org/W2377538627"],"abstract_inverted_index":{"Local":[0,58],"robust":[1,59,97],"analysis":[2,60],"via":[3],"<i":[4,45,68],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[5,8,46,49,69,72],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">L</i>":[6,47,70],"<sub":[7,48,71],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[9,50,73],"gain":[10,51,74],"method":[11],"is":[12,120],"presented":[13],"for":[14,32,94],"a":[15,27,39,96,100,114],"class":[16,102],"of":[17,29,103],"Hopf":[18,107],"bifurcation":[19],"stabilizing":[20,78,104],"controllers.":[21],"In":[22],"particular,":[23],"we":[24],"first":[25],"construct":[26],"family":[28],"Lyapunov":[30],"functions":[31],"the":[33,44,54,66,77,81],"corresponding":[34],"critical":[35,82],"system,":[36],"then":[37],"derive":[38],"sufficient":[40],"condition":[41],"to":[42,113],"compute":[43],"by":[52,76],"solving":[53],"Hamilton-Jacobi-Bellman":[55],"(HJB)":[56],"inequalities.":[57],"can":[61],"be":[62],"conducted":[63],"through":[64],"computing":[65],"local":[67],"achieved":[75],"controllers":[79,105],"at":[80],"situation.":[83],"The":[84],"theoretical":[85],"results":[86],"obtained":[87],"in":[88,122],"this":[89],"brief":[90],"provide":[91],"useful":[92],"guidance":[93],"selecting":[95],"controller":[98],"from":[99],"given":[101],"under":[106],"bifurcation.":[108],"As":[109],"an":[110],"example,":[111],"application":[112],"modified":[115],"Van":[116],"der":[117],"Pol":[118],"oscillator":[119],"discussed":[121],"details.":[123]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
