{"title":"On the Existence of Feedback Control for One Fractional Voigt Model","authors":"A. V. Zvyagin, E. I. Kostenko","doi":"10.1134/s0012266123120169","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> We study the feedback control problem for a mathematical model that describes the\nmotion of a viscoelastic fluid with memory along the trajectories of the velocity field. We prove\nthe existence of an optimal control that delivers a minimum to a given bounded and lower\nsemicontinuous cost functional.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0012266123120169","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We study the feedback control problem for a mathematical model that describes the
motion of a viscoelastic fluid with memory along the trajectories of the velocity field. We prove
the existence of an optimal control that delivers a minimum to a given bounded and lower
semicontinuous cost functional.