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.
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收藏
页数：10
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