Stabilization for the Stochastic Heat Equation with Boundary Control

被引：0

作者：

Ma, Baolin ^{[1
]}

Sun, Yiyue ^{[2
]}

Zheng, Guojie ^{[2
,3
]}

机构：

[1] Henan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Peoples R China

[2] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

[3] Ningbo Univ Finance & Econ, Coll Digital Technol & Engn, Ningbo 315175, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2022年 / 2022卷

关键词：

OUTPUT-FEEDBACK STABILIZATION; WAVE-EQUATION; DISTURBANCE;

D O I：

10.1155/2022/5623756

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：10

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