On the Existence of Feedback Control for One Fractional Voigt Model

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2024-02-26 DOI:10.1134/s0012266123120169

A. V. Zvyagin, E. I. Kostenko

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.

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论一个分数沃伊特模型反馈控制的存在性

摘要我们研究了一个描述粘弹性流体运动的数学模型的反馈控制问题，该模型具有沿速度场轨迹的记忆。我们证明了一种最优控制的存在，它能使给定的有界和低连续成本函数达到最小值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.