Razumikhin Technique and BIBO Stability of Stochastic Delay Systems with Nonlinear Perturbations

Author:

Zhou Xia1,Zhong Shou Ming2,Yao Yun Fei1

Affiliation:

1. Fuyang Teachers College

2. University of Electronic Science and Technology of China

Abstract

The problem of mean square bounded-input-bounded-output (BIBO) stability for the stochastic delay systems with nonlinear perturbations is investigated in this paper. Using the Razumikhin technique combined with comparison principle, several novel BIBO mean square stability criteria are established. A numerical example is given to illustrate the effectiveness of our result.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference11 articles.

1. ZHOU Xia, YAO Yunfei, ZHONG Shouming, BIBO Stabilization for stochastic control systems with time delay [J]. Mathematica Applicata,2102, 25(3): 672—677. (In chinese).

2. XU Daoyi, ZHONG Shouming, The BIBO stabilization of multivariable feedback systems[J]. J. UEST China, 1995, 24(1): 90—96.

3. XU Daoyi, ZHONG Shouming, BIBO stabilization of large scale systems[J]. Cont. Theory Appl., 1995, 12(6): 758—763.

4. CAO Kecai, ZHONG Shouming, LIU Biseng, BIBO and robust stabilization for system with time-delay and nonlinear perturbations[J]. J. UEST China, 2003, 32(6): 787—789.

5. ZHONG Shouming, HUANG Yuanqing, BIBO stabilization of nonlinear system with time-delay[J]. J. UEST China, 2000, 32 (6) 655—657.

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