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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