Robust Exponential Stabilization for Uncertain Stochastic Lurie Systems with Delays

被引：0

作者：

Chen, Yun ^{[1
]}

Xue, An-ke ^{[1
]}

Lu, Renquan ^{[1
]}

Zhao, Xiaodong ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Peoples R China

来源：

2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23 | 2008年

关键词：

Stochastic time-delay systems; Lurie systems; stochastic exponential stability in mean square; LMI;

D O I：

10.1109/WCICA.2008.4593835

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 robust stochastic exponential control for a class of uncertain Ito-type stochastic Lurie systems with time delays. Based on Lyapunov-Krasovskii approach, a sufficient condition for the existence of a linear memoryless state feedback controller is formulated in terms of a linear matrix inequality (LMI). For all admissible parametric uncertainties, the desired controller guarantees the resulting closed-loop system is robustly stochastically exponentially stable in mean square. A numerical example is provided to show the effectiveness of our method.

引用

页码：5559 / 5563

页数：5

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