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Abstract and Applied Analysis
Volume 2014, Article ID 791409, 9 pages
http://dx.doi.org/10.1155/2014/791409
Research Article

Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems

School of Electrical Engineering and Automation and Key Laboratory of Pulp and Paper Science and Technology of Ministry of Education of China , Jinan 250353, China

Received 29 January 2014; Accepted 24 March 2014; Published 11 June 2014

Academic Editor: Hui Zhang

Copyright © 2014 Zhiguo Yan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper deals with the problem of resilient finite-time control for a class of stochastic nonlinear systems. The notion of finite-time annular domain stability of stochastic nonlinear systems is first introduced. Then, some sufficient conditions are given for the existence of resilient state feedback finite-time annular domain stabilizing controller, which are expressed in terms of matrix inequalities. A double-parameter searching algorithm is proposed to solve these obtained matrix inequalities. Finally, an example is given to illustrate the effectiveness of the developed method.