Exponential Stability of Infinite Dimensional Linear Stochastic Systems with Time Delay

被引：0
|
作者：
Dai Xisheng [1 ]
Deng Feiqi
Luo Wenguang [1 ]
机构：
[1] Guangxi Univ Technol, Dept Elect Informat & Control Engn, Liuzhou 545006, Peoples R China
来源：
2011 30TH CHINESE CONTROL CONFERENCE (CCC) | 2011年
关键词：
Infinite Dimensional Stochastic Systems; Stability; Ito Formula; Linear Operator Inequality(LOI); FUNCTIONAL-DIFFERENTIAL EQUATIONS; MILD SOLUTIONS; HILBERT-SPACES; WAVE-EQUATION; CONTROLLABILITY;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, exponential stability of infinite dimensional stochastic systems with delay is considered. Firstly, we construct the suitable Lyapunov functions. And then sufficient conditions for exponential stability of infinite dimensional linear stochastic systems with delay are derived by using Ito formula and Poincare inequality in partial differential equations. The conditions are formulated as linear operator inequality, where the decision variables are operators. Finally, being applied to a heat equations and to a wave equations, these conditions are reduced to standard Linear Matrix Inequalities.
引用
收藏
页码：1407 / 1412
页数：6
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