{"id":"https://openalex.org/W4413925174","doi":"https://doi.org/10.1109/tac.2025.3605099","title":"Algebraic Control: Complete Stable Inversion With Necessary and Sufficient Conditions","display_name":"Algebraic Control: Complete Stable Inversion With Necessary and Sufficient Conditions","publication_year":2025,"publication_date":"2025-09-02","ids":{"openalex":"https://openalex.org/W4413925174","doi":"https://doi.org/10.1109/tac.2025.3605099"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2025.3605099","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3605099","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5082928789","display_name":"Burak K\u00fcrk\u00e7\u00fc","orcid":"https://orcid.org/0000-0002-0828-4234"},"institutions":[{"id":"https://openalex.org/I16269868","display_name":"Santa Clara University","ror":"https://ror.org/03ypqe447","country_code":"US","type":"education","lineage":["https://openalex.org/I16269868"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Burak K\u00fcrk\u00e7\u00fc","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Santa Clara University, Santa Clara, CA, USA"],"raw_orcid":"https://orcid.org/0000-0002-0828-4234","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Santa Clara University, Santa Clara, CA, USA","institution_ids":["https://openalex.org/I16269868"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064077634","display_name":"Masayoshi Tomizuka","orcid":"https://orcid.org/0000-0003-0206-6639"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Masayoshi Tomizuka","raw_affiliation_strings":["Department of Mechanical Engineering, University of California, Berkeley, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-0206-6639","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5007,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6368277,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"71","issue":"2","first_page":"1239","last_page":"1246"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.957099974155426,"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"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.957099974155426,"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/inversion","display_name":"Inversion (geology)","score":0.6785239577293396},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6306362748146057},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.47104835510253906},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4339229166507721},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4284064471721649},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.425807386636734},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.39673012495040894},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3216886818408966},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27144819498062134},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12845802307128906},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12725478410720825}],"concepts":[{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6785239577293396},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6306362748146057},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.47104835510253906},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4339229166507721},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4284064471721649},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.425807386636734},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39673012495040894},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3216886818408966},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27144819498062134},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12845802307128906},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12725478410720825},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2025.3605099","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3605099","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1509586029","https://openalex.org/W1964956827","https://openalex.org/W1967948009","https://openalex.org/W1996860845","https://openalex.org/W2009072010","https://openalex.org/W2009213332","https://openalex.org/W2031243355","https://openalex.org/W2055308830","https://openalex.org/W2061894444","https://openalex.org/W2086742230","https://openalex.org/W2094429957","https://openalex.org/W2101610346","https://openalex.org/W2135195563","https://openalex.org/W2143533694","https://openalex.org/W2144007922","https://openalex.org/W2763456105","https://openalex.org/W2905936618","https://openalex.org/W2935277128","https://openalex.org/W2963642215","https://openalex.org/W2980222584","https://openalex.org/W3011115649","https://openalex.org/W3126812892","https://openalex.org/W3159294241","https://openalex.org/W4213231302","https://openalex.org/W4225613551","https://openalex.org/W4286377468","https://openalex.org/W4315646051","https://openalex.org/W4322727878","https://openalex.org/W4386418029","https://openalex.org/W4393241150"],"related_works":["https://openalex.org/W1980470275","https://openalex.org/W2086322839","https://openalex.org/W2344971351","https://openalex.org/W2363509351","https://openalex.org/W2377084220","https://openalex.org/W1990581988","https://openalex.org/W2384206310","https://openalex.org/W2354391290","https://openalex.org/W2112313195","https://openalex.org/W2378498423"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,33],"establish":[4],"necessary":[5],"and":[6,18],"sufficient":[7],"conditions":[8],"for":[9,27],"stable":[10],"inversion,":[11],"addressing":[12],"challenges":[13],"in":[14],"non-minimum":[15],"phase,":[16],"non-square,":[17],"singular":[19],"systems.":[20],"An$\\mathcal":[21],"{H}_\\infty$-based":[22],"algebraic":[23],"approximation":[24],"is":[25],"introduced":[26],"near-perfect":[28],"tracking":[29],"without":[30],"preview.":[31],"Additionally,":[32],"propose":[34],"a":[35,50],"novel":[36],"robust":[37],"control":[38,47],"strategy":[39],"combining":[40],"the":[41,56],"nominal":[42],"model":[43],"with":[44],"dual":[45],"feedforward":[46],"to":[48],"form":[49],"feedback":[51],"structure.":[52],"Numerical":[53],"comparison":[54],"demonstrates":[55],"approach's":[57],"effectiveness.":[58]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
