{"id":"https://openalex.org/W7123338266","doi":"https://doi.org/10.1109/cdc57313.2025.11312512","title":"Lyapunov Redesign based SMC design for a class of perturbed periodic LTV systems","display_name":"Lyapunov Redesign based SMC design for a class of perturbed periodic LTV systems","publication_year":2025,"publication_date":"2025-12-09","ids":{"openalex":"https://openalex.org/W7123338266","doi":"https://doi.org/10.1109/cdc57313.2025.11312512"},"language":null,"primary_location":{"id":"doi:10.1109/cdc57313.2025.11312512","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312512","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5092378637","display_name":"Oleg Yu Sumenkov","orcid":null},"institutions":[{"id":"https://openalex.org/I4210093196","display_name":"Sirius University of Science and Technology","ror":"https://ror.org/00n51jg89","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210093196"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Oleg Sumenkov","raw_affiliation_strings":["Sirius University of Science and Technology,Mathematical Robotics Science Division,Sochi,Russia,354340"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sirius University of Science and Technology,Mathematical Robotics Science Division,Sochi,Russia,354340","institution_ids":["https://openalex.org/I4210093196"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114728598","display_name":"Ivan M. Tarabukin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210093196","display_name":"Sirius University of Science and Technology","ror":"https://ror.org/00n51jg89","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210093196"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Ivan M. Tarabukin","raw_affiliation_strings":["Sirius University of Science and Technology,Mathematical Robotics Science Division,Sochi,Russia,354340"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sirius University of Science and Technology,Mathematical Robotics Science Division,Sochi,Russia,354340","institution_ids":["https://openalex.org/I4210093196"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122861415","display_name":"Leonid Fridman","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Leonid Fridman","raw_affiliation_strings":["Universidad Nacional Aut&#x00F3;noma de M&#x00E9;xico (UNAM),Facultad de Ingenier&#x00ED;a,Mexico City,Mexico,04510"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidad Nacional Aut&#x00F3;noma de M&#x00E9;xico (UNAM),Facultad de Ingenier&#x00ED;a,Mexico City,Mexico,04510","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5122905457","display_name":"Sergei V. Gusev","orcid":null},"institutions":[{"id":"https://openalex.org/I4210093196","display_name":"Sirius University of Science and Technology","ror":"https://ror.org/00n51jg89","country_code":"RU","type":"education","lineage":["https://openalex.org/I4210093196"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Sergei V. Gusev","raw_affiliation_strings":["Sirius University of Science and Technology,Mathematical Robotics Science Division,Sochi,Russia,354340"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sirius University of Science and Technology,Mathematical Robotics Science Division,Sochi,Russia,354340","institution_ids":["https://openalex.org/I4210093196"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"7001","last_page":"7006"},"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":0.6080999970436096,"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":0.6080999970436096,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.14169999957084656,"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":0.11840000003576279,"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/control-theory","display_name":"Control theory (sociology)","score":0.7764000296592712},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.7631999850273132},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.557200014591217},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5299999713897705},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.503600001335144},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.4896000027656555},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.4357999861240387},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4350000023841858},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.3993000090122223},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.3743000030517578}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7764000296592712},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7631999850273132},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6565999984741211},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.557200014591217},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5299999713897705},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.503600001335144},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.4896000027656555},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.4357999861240387},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4350000023841858},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3993000090122223},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3743000030517578},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.34769999980926514},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.3449999988079071},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3359000086784363},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.32760000228881836},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.32690000534057617},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.326200008392334},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.32199999690055847},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.31299999356269836},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.31279999017715454},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3122999966144562},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.29339998960494995},{"id":"https://openalex.org/C201030206","wikidata":"https://www.wikidata.org/wiki/Q5165805","display_name":"Control-Lyapunov function","level":5,"score":0.28700000047683716},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2849000096321106},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.28290000557899475},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.2777999937534332},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.26910001039505005},{"id":"https://openalex.org/C2989467761","wikidata":"https://www.wikidata.org/wiki/Q10693","display_name":"Periodic system","level":2,"score":0.2648000121116638},{"id":"https://openalex.org/C2780427248","wikidata":"https://www.wikidata.org/wiki/Q17014996","display_name":"Fundamental matrix (linear differential equation)","level":2,"score":0.25839999318122864},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.25760000944137573}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc57313.2025.11312512","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc57313.2025.11312512","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 IEEE 64th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5477393865585327,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"The":[0,105],"paper":[1],"proposes":[2],"a":[3,15,37,118],"Sliding":[4],"Mode":[5],"controller":[6],"(SMC)":[7],"design":[8],"method":[9,110],"based":[10],"on":[11],"Lyapunov":[12,34,58],"Redesign":[13,59],"for":[14,36],"class":[16],"of":[17,33,50,67,89,107,117],"Periodic":[18],"Linear":[19],"Time-Varying":[20],"(PLTV)":[21],"systems":[22],"subject":[23],"to":[24,63,97],"matched":[25,98],"uncertainties":[26],"and":[27,93,101],"non-vanishing":[28,99],"disturbances.":[29],"First,":[30],"the":[31,51,65,74,81,86,90,108,114],"existence":[32],"function":[35],"PLTV":[38],"with":[39,95],"state":[40],"matrix":[41,103],"uncertainty":[42],"only":[43],"is":[44,61,111],"shown":[45],"using":[46],"positive":[47],"definite":[48],"solutions":[49],"periodic":[52,68],"Riccati":[53],"differential":[54],"equation":[55],"(PRDE).":[56],"Then,":[57],"methodology":[60],"used":[62],"generate":[64],"set":[66],"time-variant":[69],"subspaces":[70],"(sliding":[71],"surfaces),":[72],"where":[73],"closed-loop":[75],"system":[76,120],"exhibits":[77],"exponential":[78],"stability.":[79],"Finally,":[80],"resulting":[82],"SMC":[83],"law":[84],"guarantees":[85],"finite-time":[87],"stability":[88],"sliding":[91],"surface":[92],"robustness":[94],"respect":[96],"disturbances":[100],"input":[102],"uncertainty.":[104],"effectiveness":[106],"proposed":[109],"demonstrated":[112],"through":[113],"orbital":[115],"stabilization":[116],"cart-pendulum":[119],"oscillating":[121],"around":[122],"its":[123],"unstable":[124],"equilibrium.":[125]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2026-01-14T00:00:00"}
