Finite-Time Stability and Stabilization of Linear Stochastic Parabolic Distributed Parameter Systems

被引：0
|
作者：
Zuo, Huang [1 ]
Dai, Xisheng [1 ]
Zhang, Jianxiang [1 ]
机构：
[1] Guangxi Univ Sci & Technol, Sch Elect & Informat Engn, Liuzhou 545000, Peoples R China
来源：
PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021) | 2021年
基金：
中国国家自然科学基金;
关键词：
Stochastic distributed parameter systems; Finite-time stability; Linear matrix inequality; State feedback; H-INFINITY CONTROL; FEEDBACK STABILIZATION;
D O I：
10.1109/CCDC52312.2021.9602198
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the problem of finite-time stability (FTS) and finite-time stabilization problem for a class of linear Ito-type stochastic parabolic distributed parameter systems. First, the concept of FTS and finite-time stabilization in mean square sense are proposed. Second, several sufficient conditions are given for the concerned systems to be finite-time stable by introducing a Lyapunov function and utilizing linear matrix inequalities (LMIs) technique. Moreover, the results of finite-time stabilization were also given. Finally, a numerical example is given to illustrate the effectiveness of our results.
引用
收藏
页码：5524 / 5529
页数：6
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