Mean-Square Exponential Stability and Stabilisation of Stochastic Singular Systems with Multiple Time-Varying Delays

被引：0
作者：
Jian-Ning Li
Yibo Zhang
Ya-Jun Pan
机构：
[1] Hangzhou Dianzi University,Institute of System Science and Control Engineering, School of Automation
[2] Zhejiang Sci-Tech University,Institute of Automation
[3] Dalhousie University,Department of Mechanical Engineering
来源：
Circuits, Systems, and Signal Processing | 2015年 / 34卷
关键词：
Singular system; Mean-square exponential stability ; Linear matrix inequality; -Stability; Robust control;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The stability and stabilisation problems for a series of continuous stochastic singular systems with multiple time-varying delays are studied in this paper. First, a useful lemma is proposed and a delay-distribution-dependent Lyapunov functional is constructed. Then, a novel delay-distribution-dependent condition is given to ensure the unforced stochastic singular systems to be regular and impulse-free. The mean-square exponential stability of the whole system is guaranteed under the proposed lemma. As a result, a suitable feedback controller is designed via strict linear matrix inequality such that the system’s stabilisation problem is guaranteed. Finally, numerical examples are illustrated to show the proposed result are less conservative than the existing ones and the potential of such technology.
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页码：1187 / 1210
页数：23
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