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Stability of Nonlinear Stochastic Discrete‐Time Systems

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  • Yan Li
  • Weihai Zhang
  • Xikui Liu

Abstract

This paper studies the stability for nonlinear stochastic discrete‐time systems. First of all, several definitions on stability are introduced, such as stability, asymptotical stability, and pth moment exponential stability. Moreover, using the method of the Lyapunov functionals, some efficient criteria for stochastic stability are obtained. Some examples are presented to illustrate the effectiveness of the proposed theoretical results.

Suggested Citation

  • Yan Li & Weihai Zhang & Xikui Liu, 2013. "Stability of Nonlinear Stochastic Discrete‐Time Systems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:356746
    DOI: 10.1155/2013/356746
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    References listed on IDEAS

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    1. Vasile Dragan & Toader Morozan & Adrian-Mihail Stoica, 2010. "Mathematical Methods in Robust Control of Discrete-Time Linear Stochastic Systems," Springer Books, Springer, edition 0, number 978-1-4419-0630-4, March.
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