Stabilization for Stochastic Nonlinear Differential Inclusion Systems with Time Delay

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• 作者：Zongcai Jiang ; Jinjin Liu ; Lili Zhang
• 关键词：Stochastic nonlinear differential inclusion ; Time delay ; Convex hull Lyapunov function ; Stabilization
• 刊名：Circuits, Systems, and Signal Processing
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：35
• 期：12
• 页码：4567-4583
• 全文大小：724 KB
• 刊物类别：Engineering
• 刊物主题：Electronic and Computer Engineering
  
• 出版者：Birkh盲user Boston
• ISSN：1531-5878
• 卷排序：35

文摘

In this paper, the stabilization problem for stochastic non-linear differential inclusion systems with time delay is discussed. First, the definition of the exponential stability in mean square for stochastic differential inclusion is presented. Second, under the framework of the convex hull Lyapunov function, a continuous feedback law is designed to make the closed-loop system exponentially stable in mean square. Finally, two numerical examples are presented to demonstrate the effectiveness of the proposed controller for the stabilization problem discussed in this paper.