{"id":"https://openalex.org/W3200629401","doi":"https://doi.org/10.1109/mwscas47672.2021.9531749","title":"Finding DC Operating Points of Nonlinear Circuits Using Carleman Linearization","display_name":"Finding DC Operating Points of Nonlinear Circuits Using Carleman Linearization","publication_year":2021,"publication_date":"2021-08-09","ids":{"openalex":"https://openalex.org/W3200629401","doi":"https://doi.org/10.1109/mwscas47672.2021.9531749","mag":"3200629401"},"language":"en","primary_location":{"id":"doi:10.1109/mwscas47672.2021.9531749","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mwscas47672.2021.9531749","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Midwest Symposium on Circuits and Systems (MWSCAS)","raw_type":"proceedings-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/A5007568797","display_name":"Harry Weber","orcid":"https://orcid.org/0000-0002-3088-5757"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Harry Weber","raw_affiliation_strings":["Theoretische Elektrotechnik, Leibniz Universit\u00e4t Hannover, Hanover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretische Elektrotechnik, Leibniz Universit\u00e4t Hannover, Hanover, Germany","institution_ids":["https://openalex.org/I114112103"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063188862","display_name":"Ljiljana Trajkovi\u0107","orcid":"https://orcid.org/0000-0002-2560-5394"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Ljiljana Trajkovic","raw_affiliation_strings":["School of Engineering Science, Simon Fraser University, Vancouver, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering Science, Simon Fraser University, Vancouver, Canada","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058996739","display_name":"Wolfgang Mathis","orcid":"https://orcid.org/0000-0002-7386-2870"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wolfgang Mathis","raw_affiliation_strings":["Didaktik der Elektrotechnik und Informatik, Leibniz Universit\u00e4t Hannover, Hanover, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Didaktik der Elektrotechnik und Informatik, Leibniz Universit\u00e4t Hannover, Hanover, Germany","institution_ids":["https://openalex.org/I114112103"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4567,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68810739,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"68","issue":null,"first_page":"1078","last_page":"1081"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.995199978351593,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/linearization","display_name":"Linearization","score":0.8160560131072998},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7252120971679688},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.642746090888977},{"id":"https://openalex.org/keywords/algebraic-equation","display_name":"Algebraic equation","score":0.6349222660064697},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.618562638759613},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5717630982398987},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4583929777145386},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4529489576816559},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4445779621601105},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41995131969451904},{"id":"https://openalex.org/keywords/feedback-linearization","display_name":"Feedback linearization","score":0.41857481002807617},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39823752641677856},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22352814674377441},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06486868858337402}],"concepts":[{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.8160560131072998},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7252120971679688},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.642746090888977},{"id":"https://openalex.org/C23917780","wikidata":"https://www.wikidata.org/wiki/Q50698","display_name":"Algebraic equation","level":3,"score":0.6349222660064697},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.618562638759613},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5717630982398987},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4583929777145386},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4529489576816559},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4445779621601105},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41995131969451904},{"id":"https://openalex.org/C85736874","wikidata":"https://www.wikidata.org/wiki/Q672139","display_name":"Feedback linearization","level":3,"score":0.41857481002807617},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39823752641677856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22352814674377441},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06486868858337402},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mwscas47672.2021.9531749","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mwscas47672.2021.9531749","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Midwest Symposium on Circuits and Systems (MWSCAS)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W391475083","https://openalex.org/W1520892678","https://openalex.org/W1555737916","https://openalex.org/W1976872979","https://openalex.org/W1985960773","https://openalex.org/W2053617753","https://openalex.org/W2117951753","https://openalex.org/W2126008207","https://openalex.org/W2520630419","https://openalex.org/W2807104041","https://openalex.org/W4229885360","https://openalex.org/W4256071187","https://openalex.org/W4285719527","https://openalex.org/W6613526291","https://openalex.org/W6677445450"],"related_works":["https://openalex.org/W2349527210","https://openalex.org/W1998462347","https://openalex.org/W1836713364","https://openalex.org/W2141603307","https://openalex.org/W2899783744","https://openalex.org/W2964841342","https://openalex.org/W2131265573","https://openalex.org/W4300511988","https://openalex.org/W130230158","https://openalex.org/W2317650444"],"abstract_inverted_index":{"In":[0],"this":[1,98],"paper,":[2],"we":[3,36],"present":[4],"a":[5,39,58,62,77,109],"procedure":[6,16,67],"for":[7,73],"approximating":[8],"DC":[9],"operating":[10],"points":[11],"of":[12,42,51,70,106,108,118],"nonlinear":[13,44],"circuits.":[14,47],"The":[15,48,65,80],"is":[17,54,83],"based":[18],"on":[19,103],"the":[20,43,104],"Carleman":[21],"linearization":[22],"that":[23],"transforms":[24],"polynomial":[25,40],"algebraic":[26],"equations":[27,45,53],"into":[28,57,86],"an":[29,71],"equivalent":[30],"infinite":[31,49],"dimensional":[32],"linear":[33,52],"system.":[34],"Hence,":[35],"first":[37],"perform":[38],"approximation":[41,72],"describing":[46],"system":[50,60],"then":[55],"transformed":[56],"finite":[59],"using":[61],"self-consistent":[63],"technique.":[64],"presented":[66],"enables":[68],"derivation":[69],"all":[74,89],"roots":[75,90],"within":[76],"predefined":[78],"interval.":[79],"initial":[81],"interval":[82],"gradually":[84],"divided":[85],"sub-intervals":[87],"until":[88],"are":[91],"identified.":[92],"Contrary":[93],"to":[94],"usually":[95],"applied":[96,115],"methods,":[97],"approach":[99],"does":[100],"not":[101],"depend":[102],"domain":[105],"attraction":[107],"root":[110],"and":[111],"may":[112],"be":[113],"also":[114],"in":[116],"cases":[117],"multiple":[119],"solutions.":[120]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}