{"id":"https://openalex.org/W2136060402","doi":"https://doi.org/10.1109/iscas.2008.4541478","title":"Stability analysis and control of bifurcations of parallel connected DC/DC converters using the monodromy matrix","display_name":"Stability analysis and control of bifurcations of parallel connected DC/DC converters using the monodromy matrix","publication_year":2008,"publication_date":"2008-05-01","ids":{"openalex":"https://openalex.org/W2136060402","doi":"https://doi.org/10.1109/iscas.2008.4541478","mag":"2136060402"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2008.4541478","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2008.4541478","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5113398028","display_name":"Abdulmajed Elbkosh","orcid":null},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Abdulmajed Elbkosh","raw_affiliation_strings":["School of Electrical, Electronic and Computer Engineering, Newcastle University, Newcastle upon Tyne, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical, Electronic and Computer Engineering, Newcastle University, Newcastle upon Tyne, UK","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111709938","display_name":"Damian Giaouris","orcid":null},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Damian Giaouris","raw_affiliation_strings":["School of Electrical, Electronic and Computer Engineering, Newcastle University, Newcastle upon Tyne, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical, Electronic and Computer Engineering, Newcastle University, Newcastle upon Tyne, UK","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030450797","display_name":"Volker Pickert","orcid":"https://orcid.org/0000-0002-4437-6769"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Volker Pickert","raw_affiliation_strings":["School of Electrical, Electronic and Computer Engineering, Newcastle University, Newcastle upon Tyne, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical, Electronic and Computer Engineering, Newcastle University, Newcastle upon Tyne, UK","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088801492","display_name":"Bashar Zahawi","orcid":"https://orcid.org/0000-0002-2854-5374"},"institutions":[{"id":"https://openalex.org/I84884186","display_name":"Newcastle University","ror":"https://ror.org/01kj2bm70","country_code":"GB","type":"education","lineage":["https://openalex.org/I84884186"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Bashar Zahawi","raw_affiliation_strings":["School of Electrical, Electronic and Computer Engineering, Newcastle University, Newcastle upon Tyne, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical, Electronic and Computer Engineering, Newcastle University, Newcastle upon Tyne, UK","institution_ids":["https://openalex.org/I84884186"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074868206","display_name":"Soumitro Banerjee","orcid":"https://orcid.org/0000-0003-3576-0846"},"institutions":[{"id":"https://openalex.org/I145894827","display_name":"Indian Institute of Technology Kharagpur","ror":"https://ror.org/03w5sq511","country_code":"IN","type":"education","lineage":["https://openalex.org/I145894827"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Soumitro Banerjee","raw_affiliation_strings":["Centre for Theoretical Studies and Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Theoretical Studies and Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, India","institution_ids":["https://openalex.org/I145894827"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.655,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.82666667,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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":0.9958999752998352,"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":0.9958999752998352,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9932000041007996,"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/monodromy-matrix","display_name":"Monodromy matrix","score":0.8715368509292603},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7005621790885925},{"id":"https://openalex.org/keywords/floquet-theory","display_name":"Floquet theory","score":0.7001050710678101},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5555595755577087},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.533647358417511},{"id":"https://openalex.org/keywords/unit-circle","display_name":"Unit circle","score":0.5317484140396118},{"id":"https://openalex.org/keywords/state-transition-matrix","display_name":"State-transition matrix","score":0.5276877880096436},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.47095781564712524},{"id":"https://openalex.org/keywords/discontinuity","display_name":"Discontinuity (linguistics)","score":0.4619610011577606},{"id":"https://openalex.org/keywords/monodromy","display_name":"Monodromy","score":0.4485258162021637},{"id":"https://openalex.org/keywords/converters","display_name":"Converters","score":0.43815943598747253},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4247969090938568},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.39911729097366333},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.3911438286304474},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2667878270149231},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2550681233406067},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21734532713890076},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.162811279296875},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12432873249053955},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10992425680160522},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0829947292804718}],"concepts":[{"id":"https://openalex.org/C2780311589","wikidata":"https://www.wikidata.org/wiki/Q6901559","display_name":"Monodromy matrix","level":3,"score":0.8715368509292603},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7005621790885925},{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.7001050710678101},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5555595755577087},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.533647358417511},{"id":"https://openalex.org/C126875415","wikidata":"https://www.wikidata.org/wiki/Q203425","display_name":"Unit circle","level":2,"score":0.5317484140396118},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.5276877880096436},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.47095781564712524},{"id":"https://openalex.org/C2777042112","wikidata":"https://www.wikidata.org/wiki/Q5281658","display_name":"Discontinuity (linguistics)","level":2,"score":0.4619610011577606},{"id":"https://openalex.org/C96403706","wikidata":"https://www.wikidata.org/wiki/Q543956","display_name":"Monodromy","level":2,"score":0.4485258162021637},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.43815943598747253},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4247969090938568},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39911729097366333},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.3911438286304474},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2667878270149231},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2550681233406067},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21734532713890076},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.162811279296875},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12432873249053955},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10992425680160522},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0829947292804718},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iscas.2008.4541478","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2008.4541478","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Symposium on Circuits and Systems (ISCAS)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.717.7304","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.717.7304","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.staff.ncl.ac.uk/damian.giaouris/pdf/Papers/ISCAS%2008.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W306845368","https://openalex.org/W629413978","https://openalex.org/W1558079603","https://openalex.org/W2097042603","https://openalex.org/W2137101191","https://openalex.org/W2139049565","https://openalex.org/W2167252974","https://openalex.org/W2484469314","https://openalex.org/W2943025823","https://openalex.org/W6762620115"],"related_works":["https://openalex.org/W2374262814","https://openalex.org/W2412051952","https://openalex.org/W1988319246","https://openalex.org/W1997766786","https://openalex.org/W2956219273","https://openalex.org/W4246033221","https://openalex.org/W3105214509","https://openalex.org/W1974901478","https://openalex.org/W3099920733","https://openalex.org/W4401340191"],"abstract_inverted_index":{"The":[0],"paper":[1],"studies":[2],"the":[3,10,26,34,39,45,70,74,94,97,114,119,122],"stability":[4],"of":[5,12,33,90],"parallel":[6],"DC/DC":[7],"converters":[8],"using":[9],"concept":[11],"monodromy":[13],"matrix":[14,18,30,77],"(the":[15,100],"state":[16,35,101],"transition":[17,36,102],"for":[19,38,96],"one":[20],"complete":[21],"cycle),":[22],"whose":[23],"eigenvalues":[24,120],"are":[25],"Floquet":[27],"multipliers.":[28],"This":[29],"is":[31],"composed":[32],"matrices":[37,99,103],"smooth":[40,62],"intervals":[41],"and":[42],"those":[43],"across":[44,104],"switching":[46,105],"events":[47],"(called":[48],"saltation":[49,98],"matrices).":[50],"We":[51],"show":[52],"that":[53,111],"instabilities":[54],"in":[55],"this":[56],"system":[57],"can":[58,112],"be":[59],"caused":[60],"by":[61,117],"as":[63,65,82],"well":[64],"nonsmooth":[66],"period":[67],"doubling":[68],"bifurcations,":[69],"latter":[71],"occurring":[72],"when":[73],"fundamental":[75],"solution":[76,85],"undergoes":[78],"a":[79,83,87],"discontinuous":[80],"jump":[81],"periodic":[84],"touches":[86],"non-smooth":[88],"hyper-surface":[89],"discontinuity.":[91],"Based":[92],"on":[93],"expression":[95],"events)":[106],"we":[107],"propose":[108],"new":[109],"controllers":[110],"stabilize":[113],"period-1":[115],"operation":[116],"keeping":[118],"inside":[121],"unit":[123],"circle.":[124]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
