Journal of South China University of Technology(Natural Science Edition) ›› 2004, Vol. 32 ›› Issue (12): 65-69.doi: 1000-565X(2004)12-0065-05

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Exponential Stability of Stochastic Differential Systems with Distributed Delays and Parameter Uncertainties

Bao Jun- dong  Deng Fei- qi  Luo Qi   

  1. College of Automation Science and Control Engineering, South China Univ.of Tech., Guangzhou 510640, Guangdong, China
  • Received:2003-06-05 Online:2004-12-20 Published:2015-09-08
  • Contact: 包俊东(1958-)‚男‚教授‚博士生‚现任职于内蒙古师范大学数学科学学院‚主要从事控制系统的鲁棒稳定性。 E-mail:baojd@imnu.edu.cn
  • About author:包俊东(1958-)‚男‚教授‚博士生‚现任职于内蒙古师范大学数学科学学院‚主要从事控制系统的鲁棒稳定性。
  • Supported by:
    Supported by the National Natural Science Foundation of China (69874015, 69334030) and Inner Mongolia Natural Science Foundation (200308020101) 

Abstract: In this paper, a class of linear stochastic differential systems with distributed delays and parameter uncertainties is considered, with the purpose of stating the sufficient conditions for the exponential stability in mean square for a class of more generalized linear stochastic systems with distributed delays.The delay-dependent criteria for the exponential stability of the systems are then given.An example is finally presented to illustrate the correctness and applicability of the proposed method. 

Key words: distributed delay, stochastic differential system, delay dependence, parameter uncertainty, exponential stability

CLC Number: