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

Fangzheng Gao, Zheng Yuan and Fushun Yuan

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:673869

DOI: 10.1155/2014/673869

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