Controllability to rest of the Gurtin-Pipkin model-Reference-Cited by-同舟云学术

Controllability to rest of the Gurtin-Pipkin model

Published:2021 Issue:0 Volume:0 Page:0
ISSN:2156-8472
Container-title:Mathematical Control & Related Fields
language:
Short-container-title:MCRF

Author:

Zhou Xiuxiang,Luan Shu

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>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Control and Optimization,General Medicine

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