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Xiaopei Liu
Genqi Xu

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Xiaopei Liu
Genqi Xu

WSEAS Transactions on Mathematics

Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 17, 2018

Integral-Type Feedback Controller and Application to the Stabilization of Heat Equation with Boundary Input Delay

AUTHORS: Xiaopei Liu, Genqi Xu

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In this paper, we consider the stabilization of Heat-equation with boundary delayed control by a new kind of feedback controller. The new feedback controller is of the integral form in spatial variable, which is called the integral-type feedback controller. Our goal of the present paper is to select appropriate kernel functions such that the closed-loop system is exponentially stable. Here we mainly give a method of selecting kernel functions. To prove the stability of the closed-loop system, we design a target system which is exponentially stable, and then construct a revertible and bounded linear transformation that establishes the equivalence between the target system and the closed-loop system

KEYWORDS: Integral-type feedback controller, heat equation, exponential stabilization, delayed control


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WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #39, pp. 311-318

Copyright Β© 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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