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2014 State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays
Fangzheng Gao, Zheng Yuan, Fushun Yuan
Abstr. Appl. Anal. 2014: 1-11 (2014). DOI: 10.1155/2014/673869

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.

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Fangzheng Gao. Zheng Yuan. Fushun Yuan. "State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays." Abstr. Appl. Anal. 2014 1 - 11, 2014. https://doi.org/10.1155/2014/673869

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07022854
MathSciNet: MR3166643
Digital Object Identifier: 10.1155/2014/673869

Rights: Copyright © 2014 Hindawi

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