{"id":"https://openalex.org/W2107930439","doi":"https://doi.org/10.1109/tcsii.2009.2032475","title":"Stability Analysis of Periodic Orbits of Nonautonomous Piecewise-Linear Systems by Mapping Approach","display_name":"Stability Analysis of Periodic Orbits of Nonautonomous Piecewise-Linear Systems by Mapping Approach","publication_year":2009,"publication_date":"2009-11-01","ids":{"openalex":"https://openalex.org/W2107930439","doi":"https://doi.org/10.1109/tcsii.2009.2032475","mag":"2107930439"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2009.2032475","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2009.2032475","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/A5113985571","display_name":"Yibo Zhao","orcid":"https://orcid.org/0009-0008-3584-4592"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yibo Zhao","raw_affiliation_strings":["School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China","Sch. of Electron. & Inf. Eng., South China Univ. of Tech, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"Sch. of Electron. & Inf. Eng., South China Univ. of Tech, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100934499","display_name":"Jiuchao Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiuchao Feng","raw_affiliation_strings":["School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China","Sch. of Electron. & Inf. Eng., South China Univ. of Tech, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"Sch. of Electron. & Inf. Eng., South China Univ. of Tech, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021923917","display_name":"Chi K. Tse","orcid":"https://orcid.org/0000-0002-0462-3999"},"institutions":[{"id":"https://openalex.org/I14243506","display_name":"Hong Kong Polytechnic University","ror":"https://ror.org/0030zas98","country_code":"HK","type":"education","lineage":["https://openalex.org/I14243506"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"C.K. Tse","raw_affiliation_strings":["Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, China","Dept. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., Kowloon, China"],"affiliations":[{"raw_affiliation_string":"Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, China","institution_ids":["https://openalex.org/I14243506"]},{"raw_affiliation_string":"Dept. of Electron. & Inf. Eng., Hong Kong Polytech. Univ., Kowloon, China","institution_ids":["https://openalex.org/I14243506"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113985571"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":0.775,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.70247317,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"56","issue":"11","first_page":"845","last_page":"849"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9948999881744385,"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/T10244","display_name":"Chaos control and synchronization","score":0.993399977684021,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/colpitts-oscillator","display_name":"Colpitts oscillator","score":0.831549882888794},{"id":"https://openalex.org/keywords/duffing-equation","display_name":"Duffing equation","score":0.8189769983291626},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.7278350591659546},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6904759407043457},{"id":"https://openalex.org/keywords/periodic-orbits","display_name":"Periodic orbits","score":0.5822755694389343},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.55743807554245},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5441592335700989},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5276234149932861},{"id":"https://openalex.org/keywords/orbit","display_name":"Orbit (dynamics)","score":0.4452100992202759},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4219725728034973},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.35915690660476685},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3459784984588623},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13082081079483032},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1156798005104065},{"id":"https://openalex.org/keywords/vack\u00e1\u0159-oscillator","display_name":"Vack\u00e1\u0159 oscillator","score":0.10128805041313171}],"concepts":[{"id":"https://openalex.org/C146847952","wikidata":"https://www.wikidata.org/wiki/Q933121","display_name":"Colpitts oscillator","level":5,"score":0.831549882888794},{"id":"https://openalex.org/C132323500","wikidata":"https://www.wikidata.org/wiki/Q675387","display_name":"Duffing equation","level":3,"score":0.8189769983291626},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.7278350591659546},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6904759407043457},{"id":"https://openalex.org/C2984157986","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Periodic orbits","level":2,"score":0.5822755694389343},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.55743807554245},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5441592335700989},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5276234149932861},{"id":"https://openalex.org/C196644772","wikidata":"https://www.wikidata.org/wiki/Q3884964","display_name":"Orbit (dynamics)","level":2,"score":0.4452100992202759},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4219725728034973},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.35915690660476685},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3459784984588623},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13082081079483032},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1156798005104065},{"id":"https://openalex.org/C111657199","wikidata":"https://www.wikidata.org/wiki/Q2300256","display_name":"Vack\u00e1\u0159 oscillator","level":4,"score":0.10128805041313171},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C74064498","wikidata":"https://www.wikidata.org/wiki/Q3396184","display_name":"Radio frequency","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C203597036","wikidata":"https://www.wikidata.org/wiki/Q1238887","display_name":"Local oscillator","level":3,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsii.2009.2032475","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2009.2032475","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"},{"id":"pmh:oai:ira.lib.polyu.edu.hk:10397/9937","is_oa":false,"landing_page_url":"http://hdl.handle.net/10397/9937","pdf_url":null,"source":{"id":"https://openalex.org/S4306400205","display_name":"PolyU Institutional Research Archive (Hong Kong Polytechnic University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I14243506","host_organization_name":"Hong Kong Polytechnic University","host_organization_lineage":["https://openalex.org/I14243506"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal/Magazine Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W617691326","https://openalex.org/W1504779342","https://openalex.org/W1964154886","https://openalex.org/W1970944689","https://openalex.org/W2007933747","https://openalex.org/W2027245964","https://openalex.org/W2034618044","https://openalex.org/W2046881397","https://openalex.org/W2080186929","https://openalex.org/W2081281512","https://openalex.org/W2089876099","https://openalex.org/W2091874827","https://openalex.org/W2096928296","https://openalex.org/W2104995835","https://openalex.org/W2113812754","https://openalex.org/W2114664913","https://openalex.org/W2135009159","https://openalex.org/W2135331016","https://openalex.org/W2146447376","https://openalex.org/W2159928388","https://openalex.org/W2171886546","https://openalex.org/W2383679069","https://openalex.org/W2533133627","https://openalex.org/W3147189009","https://openalex.org/W4235772869","https://openalex.org/W4388215348","https://openalex.org/W6983659130"],"related_works":["https://openalex.org/W2109304297","https://openalex.org/W44694169","https://openalex.org/W2754997651","https://openalex.org/W4292014234","https://openalex.org/W2316428971","https://openalex.org/W2247236733","https://openalex.org/W2163439281","https://openalex.org/W1983590777","https://openalex.org/W2168349195","https://openalex.org/W3103743555"],"abstract_inverted_index":{"In":[0],"this":[1],"brief,":[2],"we":[3],"present":[4],"an":[5],"exact":[6],"stability":[7],"analysis":[8,58],"for":[9,62],"periodic":[10,45],"orbits":[11],"of":[12,33,39,43],"nonautonomous":[13],"piecewise-linear":[14,64],"systems.":[15],"The":[16,37],"described":[17],"discrete-time":[18],"maps":[19],"are":[20,55,70],"derived":[21],"by":[22],"connecting":[23],"solutions":[24],"at":[25],"the":[26,40,44,52,63,74],"switched":[27,41],"points":[28,42],"and":[29,51,59,67],"solving":[30],"relevant":[31],"sets":[32],"linear":[34],"differential":[35],"equations.":[36],"coordinates":[38],"orbit":[46],"on":[47],"each":[48],"switching":[49],"surface":[50],"corresponding":[53],"Jacobians":[54],"obtained.":[56],"Theoretical":[57],"simulation":[60],"results":[61],"Duffing":[65],"oscillator":[66,69],"Colpitts":[68],"presented":[71],"to":[72],"illustrate":[73],"proposed":[75],"method.":[76]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
