{"id":"https://openalex.org/W2095930090","doi":"https://doi.org/10.1109/iscas.2002.1009924","title":"Tolerance analysis of nonlinear circuits using set-valued functions","display_name":"Tolerance analysis of nonlinear circuits using set-valued functions","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2095930090","doi":"https://doi.org/10.1109/iscas.2002.1009924","mag":"2095930090"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2002.1009924","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2002.1009924","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353)","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/A5091531903","display_name":"Kenichiro Yamamura","orcid":"https://orcid.org/0000-0002-5684-1330"},"institutions":[{"id":"https://openalex.org/I96679780","display_name":"Chuo University","ror":"https://ror.org/03qvqb743","country_code":"JP","type":"education","lineage":["https://openalex.org/I96679780"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"K. Yamamura","raw_affiliation_strings":["Chuo Lniversity, Tokyo, Japan","Chuo University, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Chuo Lniversity, Tokyo, Japan","institution_ids":["https://openalex.org/I96679780"]},{"raw_affiliation_string":"Chuo University, Tokyo, Japan","institution_ids":["https://openalex.org/I96679780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045832144","display_name":"H. Hyodo","orcid":null},"institutions":[{"id":"https://openalex.org/I96679780","display_name":"Chuo University","ror":"https://ror.org/03qvqb743","country_code":"JP","type":"education","lineage":["https://openalex.org/I96679780"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"H. Hyodo","raw_affiliation_strings":["Chuo University, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Chuo University, Tokyo, Japan","institution_ids":["https://openalex.org/I96679780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091531903"],"corresponding_institution_ids":["https://openalex.org/I96679780"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.17589686,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"I","last_page":"649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9990000128746033,"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":0.9990000128746033,"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/T11236","display_name":"Control Systems and Identification","score":0.9922999739646912,"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/T10320","display_name":"Neural Networks and Applications","score":0.987500011920929,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/piecewise","display_name":"Piecewise","score":0.7844778895378113},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7142610549926758},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.6451183557510376},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6316215991973877},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6194721460342407},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5072076320648193},{"id":"https://openalex.org/keywords/resistive-touchscreen","display_name":"Resistive touchscreen","score":0.5069663524627686},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.486054927110672},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4747075140476227},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4297831952571869},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.410861074924469},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34688714146614075},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15125098824501038},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10052630305290222}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.7844778895378113},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7142610549926758},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.6451183557510376},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6316215991973877},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6194721460342407},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5072076320648193},{"id":"https://openalex.org/C6899612","wikidata":"https://www.wikidata.org/wiki/Q852911","display_name":"Resistive touchscreen","level":2,"score":0.5069663524627686},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.486054927110672},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4747075140476227},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4297831952571869},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.410861074924469},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34688714146614075},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15125098824501038},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10052630305290222},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2002.1009924","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2002.1009924","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2002 IEEE International Symposium on Circuits and Systems. Proceedings (Cat. No.02CH37353)","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":10,"referenced_works":["https://openalex.org/W1564248788","https://openalex.org/W1979415108","https://openalex.org/W2056745569","https://openalex.org/W2119130091","https://openalex.org/W2151922011","https://openalex.org/W2164121953","https://openalex.org/W2171868195","https://openalex.org/W2257024846","https://openalex.org/W6633856815","https://openalex.org/W6691895145"],"related_works":["https://openalex.org/W3097847178","https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2128242959","https://openalex.org/W2083709218"],"abstract_inverted_index":{"In":[0,15],"the":[1,7,51],"tolerance":[2],"analysis":[3],"of":[4,9,28,35,62],"electronic":[5],"circuits,":[6],"concept":[8],"set-valued":[10,39],"function":[11],"is":[12,21,48],"often":[13],"useful.":[14],"this":[16],"paper,":[17],"an":[18],"efficient":[19],"algorithm":[20,53],"proposed":[22,52],"for":[23],"finding":[24],"all":[25,56],"solution":[26,57],"sets":[27],"nonlinear":[29,36],"resistive":[30],"circuits":[31],"described":[32],"by":[33],"systems":[34],"equations":[37,65],"containing":[38],"functions":[40],"termed":[41],"piecewise-trapezoidal":[42,64],"functions.":[43],"By":[44],"numerical":[45],"examples,":[46],"it":[47],"shown":[49],"that":[50],"could":[54],"find":[55],"regions":[58],"to":[59],"a":[60],"system":[61],"300":[63],"in":[66],"practical":[67],"computation":[68],"time.":[69]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}