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State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays

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  • Fangzheng Gao
  • Zheng Yuan
  • Fushun Yuan

Abstract

This paper investigates the problem of state-feedback stabilization for a class of stochastic high-order nonlinear systems with time-varying delays. Under the weaker conditions on the power order and the nonlinear growth, by using the method of adding a power integrator, a state-feedback controller is successfully designed, and the global asymptotic stability in the probability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov-Krasovskii functional. A simulation example is given to demonstrate the effectiveness of the proposed design procedure.

Suggested Citation

  • Fangzheng Gao & Zheng Yuan & Fushun Yuan, 2014. "State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, January.
    • Handle: RePEc:hin:jnlaaa:673869
    DOI: 10.1155/2014/673869
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