Stabilization for the Stochastic Heat Equation with Boundary Control

Baolin Ma, Yiyue Sun, Guojie Zheng and Kenan Yildirim

Journal of Mathematics, 2022, vol. 2022, 1-10

Abstract: This paper investigates the stabilization of an unstable stochastic heat equation. By the backstepping technique, a boundary feedback control is designed to stabilize the unstable stochastic system, including the 2nd-moment and almost-sure exponential stabilization. We also prove that the system with a disturbance in the control channel possesses good robust stability under our control strategy and suitable conditions. Finally, we also provide numerical simulations which illustrate the effectiveness of the theoretical results.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5623756

DOI: 10.1155/2022/5623756

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