Controllability to rest of the Gurtin-Pipkin model

IF 1 4区数学 Q1 MATHEMATICS

Mathematical Control and Related Fields Pub Date : 2021-10-11 DOI:10.3934/mcrf.2021051

Xiuxiang Zhou, Shu Luan

引用次数: 0

Abstract

<p style='text-indent:20px;'>This paper is devoted to analyzing the controllability to rest of the Gurtin-Pipkin model, which is a class of differential equations with memory terms. The goal is not only to derive the state to vanish at some time but also to require the memory term to vanish at the same time, ensuring that the controlled system is controllable to rest. In order to get rid of the influence of memory, the controllability result is obtained by means of the Fourier type approach and the moment theory.</p>

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Gurtin-Pipkin模型其余部分的可控性

<p style='text-indent:20px;'>本文致力于分析Gurtin-Pipkin模型的剩余可控性，该模型是一类具有记忆项的微分方程。目标不仅是推导出在某一时刻消失的状态，而且要求记忆项同时消失，以确保被控系统在静止状态下是可控的。为了消除记忆的影响，采用傅立叶型方法和矩量理论获得了可控性结果。

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

Mathematical Control and Related Fields MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

8.30%

发文量

期刊介绍： MCRF aims to publish original research as well as expository papers on mathematical control theory and related fields. The goal is to provide a complete and reliable source of mathematical methods and results in this field. The journal will also accept papers from some related fields such as differential equations, functional analysis, probability theory and stochastic analysis, inverse problems, optimization, numerical computation, mathematical finance, information theory, game theory, system theory, etc., provided that they have some intrinsic connections with control theory.