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, issue 1

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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https://doi.org/10.1155/2014/673869

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:673869

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