{"id":"https://openalex.org/W3129716624","doi":"https://doi.org/10.1109/tcsi.2021.3059090","title":"Lattice Trajectory Piecewise Linear Method for the Simulation of Diode Circuits","display_name":"Lattice Trajectory Piecewise Linear Method for the Simulation of Diode Circuits","publication_year":2021,"publication_date":"2021-02-22","ids":{"openalex":"https://openalex.org/W3129716624","doi":"https://doi.org/10.1109/tcsi.2021.3059090","mag":"3129716624"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2021.3059090","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2021.3059090","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 I: Regular Papers","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/A5021585989","display_name":"Jiade Wang","orcid":"https://orcid.org/0000-0002-8989-9168"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiade Wang","raw_affiliation_strings":["School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-8989-9168","affiliations":[{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040253195","display_name":"Jun Xu","orcid":"https://orcid.org/0000-0002-2934-4814"},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Xu","raw_affiliation_strings":["Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai, China","School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-2934-4814","affiliations":[{"raw_affiliation_string":"Key Laboratory of System Control and Information Processing, Ministry of Education, Shanghai, China","institution_ids":["https://openalex.org/I1327237609"]},{"raw_affiliation_string":"School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101765621","display_name":"Shuning Wang","orcid":"https://orcid.org/0000-0002-9727-1434"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuning Wang","raw_affiliation_strings":["Department of Automation, BNRist, Tsinghua University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, BNRist, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5021585989"],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":0.6563,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.66987917,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"68","issue":"5","first_page":"2069","last_page":"2081"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9993000030517578,"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/T10558","display_name":"Advancements in Semiconductor Devices and Circuit Design","score":0.9915000200271606,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11416","display_name":"Numerical methods for differential equations","score":0.9896000027656555,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.6864609718322754},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6762709021568298},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5798897743225098},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.5588365793228149},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5371649265289307},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.5234131813049316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5125107765197754},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4623137414455414},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.4300646185874939},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2981056869029999},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2144692838191986},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11304685473442078}],"concepts":[{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.6864609718322754},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6762709021568298},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5798897743225098},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.5588365793228149},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5371649265289307},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5234131813049316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5125107765197754},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4623137414455414},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.4300646185874939},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2981056869029999},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2144692838191986},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11304685473442078},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsi.2021.3059090","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2021.3059090","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 I: Regular Papers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G915480523","display_name":null,"funder_award_id":"U1813224","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W110690611","https://openalex.org/W1510917194","https://openalex.org/W1529004572","https://openalex.org/W1553463540","https://openalex.org/W1556851660","https://openalex.org/W1570007728","https://openalex.org/W1855336155","https://openalex.org/W1910208132","https://openalex.org/W1972707897","https://openalex.org/W2023599497","https://openalex.org/W2045929849","https://openalex.org/W2059821792","https://openalex.org/W2065787176","https://openalex.org/W2068820478","https://openalex.org/W2074768646","https://openalex.org/W2097958668","https://openalex.org/W2105708535","https://openalex.org/W2133642820","https://openalex.org/W2147602666","https://openalex.org/W2168117897","https://openalex.org/W2340736219","https://openalex.org/W2763550765","https://openalex.org/W2799635761","https://openalex.org/W2808277812","https://openalex.org/W2809626186","https://openalex.org/W2948051984","https://openalex.org/W2978762879","https://openalex.org/W2982317300","https://openalex.org/W3105158911","https://openalex.org/W6604438445","https://openalex.org/W6631566148"],"related_works":["https://openalex.org/W3182827720","https://openalex.org/W1596838019","https://openalex.org/W2133947431","https://openalex.org/W2490196280","https://openalex.org/W3208509670","https://openalex.org/W2100864966","https://openalex.org/W2109304297","https://openalex.org/W2083709218","https://openalex.org/W2131136359","https://openalex.org/W1968186255"],"abstract_inverted_index":{"In":[0,129],"this":[1],"paper,":[2],"we":[3],"present":[4],"an":[5],"approach":[6,20],"to":[7,29,78,139,164],"nonlinear":[8,35,157],"system":[9],"approximation,":[10],"called":[11],"the":[12,30,42,45,58,64,89,101,124,136,149,169,174,177,185],"lattice":[13,24,46],"trajectory":[14,32,80],"piecewise":[15,25,81],"linear":[16,26,82,96],"(LTPWL)":[17],"model.":[18],"The":[19,159],"involves":[21],"determining":[22],"a":[23,34,73,110],"(PWL)":[27],"approximation":[28,60,155,192],"state":[31],"of":[33,66,113,156,176,184,191],"system.":[36],"It":[37],"has":[38,61],"been":[39,62],"shown":[40],"in":[41,54,88,97,116,154,189],"literature":[43],"that":[44,173,183],"PWL":[47,52],"expression":[48],"can":[49,106],"represent":[50],"any":[51,55],"function":[53],"dimension.":[56],"After":[57],"LTPWL":[59,92,104,134,150,178],"obtained,":[63],"order":[65],"each":[67,98,143],"model":[68,105,151,179,188],"piece":[69],"is":[70,121,162,180],"reduced":[71],"using":[72],"Krylov":[74],"projection":[75],"technique.":[76],"Compared":[77],"existing":[79],"(TPWL)":[83],"models,":[84],"which":[85,117,147],"are":[86,94,127,145],"quasi-PWL":[87],"whole":[90],"region,":[91],"models":[93],"virtually":[95],"subregion.":[99],"Besides,":[100],"single":[102],"output":[103,133],"be":[107,140],"seen":[108],"as":[109],"special":[111],"kind":[112],"TPWL":[114,187],"model,":[115,135],"only":[118],"one":[119],"weight":[120],"1,":[122],"and":[123,168,194],"other":[125],"weights":[126,137],"0.":[128],"general,":[130],"for":[131,142],"multiple":[132],"set":[138],"1":[141],"component":[144],"different,":[146],"makes":[148],"more":[152],"flexible":[153],"function.":[158],"proposed":[160],"strategy":[161],"applied":[163],"simulate":[165],"diode":[166],"circuits,":[167],"experimental":[170],"results":[171],"show":[172],"performance":[175],"better":[181],"than":[182],"traditional":[186],"terms":[190],"accuracy":[193],"generalization":[195],"ability.":[196]},"counts_by_year":[{"year":2023,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
