{"id":"https://openalex.org/W4200041347","doi":"https://doi.org/10.1109/cce53527.2021.9633078","title":"A Systematic Method for Backstepping via Linear Matrix Inequalities","display_name":"A Systematic Method for Backstepping via Linear Matrix Inequalities","publication_year":2021,"publication_date":"2021-11-10","ids":{"openalex":"https://openalex.org/W4200041347","doi":"https://doi.org/10.1109/cce53527.2021.9633078"},"language":"en","primary_location":{"id":"doi:10.1109/cce53527.2021.9633078","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cce53527.2021.9633078","pdf_url":null,"source":{"id":"https://openalex.org/S4363608599","display_name":"2021 18th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 18th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","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/A5089882771","display_name":"Jorge Ibarra","orcid":"https://orcid.org/0000-0003-3862-9616"},"institutions":[{"id":"https://openalex.org/I36020712","display_name":"Sonora Institute of Technology","ror":"https://ror.org/01v10fv91","country_code":"MX","type":"education","lineage":["https://openalex.org/I36020712"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Jorge Ibarra","raw_affiliation_strings":["Dept. of Electrical and Electronics Engineering, Sonora Institute of Technology, Cd.Obreg\u00f3n, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Electronics Engineering, Sonora Institute of Technology, Cd.Obreg\u00f3n, M\u00e9xico","institution_ids":["https://openalex.org/I36020712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010824625","display_name":"Jesus Alonso Diaz","orcid":null},"institutions":[{"id":"https://openalex.org/I36020712","display_name":"Sonora Institute of Technology","ror":"https://ror.org/01v10fv91","country_code":"MX","type":"education","lineage":["https://openalex.org/I36020712"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jesus Alonso Diaz","raw_affiliation_strings":["Dept. of Electrical and Electronics Engineering, Sonora Institute of Technology, Cd.Obreg\u00f3n, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Electronics Engineering, Sonora Institute of Technology, Cd.Obreg\u00f3n, M\u00e9xico","institution_ids":["https://openalex.org/I36020712"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007981700","display_name":"Raymundo M\u00e1rquez","orcid":"https://orcid.org/0000-0002-9595-8072"},"institutions":[{"id":"https://openalex.org/I36020712","display_name":"Sonora Institute of Technology","ror":"https://ror.org/01v10fv91","country_code":"MX","type":"education","lineage":["https://openalex.org/I36020712"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Raymundo Marquez","raw_affiliation_strings":["Dept. of Electrical and Electronics Engineering, Sonora Institute of Technology, Cd.Obreg\u00f3n, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Electronics Engineering, Sonora Institute of Technology, Cd.Obreg\u00f3n, M\u00e9xico","institution_ids":["https://openalex.org/I36020712"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025845803","display_name":"Miguel Bernal","orcid":"https://orcid.org/0000-0003-3488-6180"},"institutions":[{"id":"https://openalex.org/I36020712","display_name":"Sonora Institute of Technology","ror":"https://ror.org/01v10fv91","country_code":"MX","type":"education","lineage":["https://openalex.org/I36020712"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Miguel Bernal","raw_affiliation_strings":["Dept. of Electrical and Electronics Engineering, Sonora Institute of Technology, Cd.Obreg\u00f3n, M\u00e9xico"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Electronics Engineering, Sonora Institute of Technology, Cd.Obreg\u00f3n, M\u00e9xico","institution_ids":["https://openalex.org/I36020712"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5089882771"],"corresponding_institution_ids":["https://openalex.org/I36020712"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16371544,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9997000098228455,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9997000098228455,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9994999766349792,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994000196456909,"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/backstepping","display_name":"Backstepping","score":0.8889527320861816},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5585546493530273},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5559016466140747},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5471913814544678},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4956468343734741},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.4731636643409729},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.44969069957733154},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4318104386329651},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4293508529663086},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.423037588596344},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33084332942962646},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.18464413285255432},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.12366440892219543},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06016010046005249}],"concepts":[{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.8889527320861816},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5585546493530273},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5559016466140747},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5471913814544678},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4956468343734741},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.4731636643409729},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.44969069957733154},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4318104386329651},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4293508529663086},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.423037588596344},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33084332942962646},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.18464413285255432},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.12366440892219543},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06016010046005249},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cce53527.2021.9633078","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cce53527.2021.9633078","pdf_url":null,"source":{"id":"https://openalex.org/S4363608599","display_name":"2021 18th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 18th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.41999998688697815}],"awards":[{"id":"https://openalex.org/G2135773571","display_name":null,"funder_award_id":"2021-0027","funder_id":"https://openalex.org/F4320330837","funder_display_name":"Instituto Tecnol\u00f3gico de Sonora"},{"id":"https://openalex.org/G690058269","display_name":null,"funder_award_id":"768782,756168","funder_id":"https://openalex.org/F4320321739","funder_display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda"}],"funders":[{"id":"https://openalex.org/F4320321739","display_name":"Consejo Nacional de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/059ex5q34"},{"id":"https://openalex.org/F4320330837","display_name":"Instituto Tecnol\u00f3gico de Sonora","ror":"https://ror.org/01v10fv91"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W194456869","https://openalex.org/W1548148540","https://openalex.org/W1967073510","https://openalex.org/W2068052921","https://openalex.org/W2099579168","https://openalex.org/W2105103816","https://openalex.org/W2166025411","https://openalex.org/W2338205006","https://openalex.org/W2343743814","https://openalex.org/W2610926802","https://openalex.org/W2748466577","https://openalex.org/W2834348123","https://openalex.org/W2964822258","https://openalex.org/W3117840035","https://openalex.org/W3210839039","https://openalex.org/W4241796298","https://openalex.org/W6788332481"],"related_works":["https://openalex.org/W2771027241","https://openalex.org/W1765905465","https://openalex.org/W2793080664","https://openalex.org/W2186140227","https://openalex.org/W2534185822","https://openalex.org/W2367651125","https://openalex.org/W2387936656","https://openalex.org/W2063297487","https://openalex.org/W2567073787","https://openalex.org/W2132535444"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,35,39],"systematic":[4],"method":[5,23],"for":[6,53],"implementing":[7],"backstepping":[8,29],"via":[9,49],"linear":[10,55],"matrix":[11,56],"inequalities":[12],"is":[13,16],"developed.":[14],"It":[15],"based":[17],"on":[18],"using":[19],"the":[20,28,63,86,89],"direct":[21],"Lyapunov":[22],"at":[24,70],"each":[25,71],"step":[26,72],"of":[27,43,62,80,88],"procedure":[30],"in":[31],"order":[32],"to":[33],"find":[34],"control":[36],"law":[37],"as":[38],"nonlinear":[40],"convex":[41],"sum":[42],"gains.":[44],"These":[45],"gains":[46],"are":[47],"obtained":[48],"commercially":[50],"available":[51],"software":[52],"solving":[54],"inequalities,":[57],"which":[58],"guarantees":[59],"numerical":[60],"readiness":[61],"proposal.":[64],"Moreover,":[65],"dealing":[66],"with":[67],"MIMO":[68],"subsystems":[69],"can":[73],"be":[74],"done":[75],"without":[76],"further":[77],"adjustments.":[78],"Examples":[79],"academic":[81],"and":[82],"practical":[83],"interest":[84],"illustrate":[85],"advantages":[87],"novel":[90],"methodology":[91],"over":[92],"former":[93],"approaches.":[94]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}