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Controllability to rest of the Gurtin-Pipkin model
  • Xiuxiang Zhou,
  • Shu Luan
Xiuxiang Zhou
Lingnan Normal University
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Shu Luan
Lingnan Normal University
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Abstract

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.

Peer review status:UNDER REVIEW

01 Jun 2020Submitted to Mathematical Methods in the Applied Sciences
05 Jun 2020Assigned to Editor
05 Jun 2020Submission Checks Completed
08 Jun 2020Reviewer(s) Assigned