## Abstract and Applied Analysis

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

Zhiguo Yan

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 791409, 9 pages.

Dates
First available in Project Euclid: 2 October 2014

https://projecteuclid.org/euclid.aaa/1412278126

Digital Object Identifier
doi:10.1155/2014/791409

Mathematical Reviews number (MathSciNet)
MR3224321

Zentralblatt MATH identifier
07023075

#### Citation

Yan, Zhiguo. Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 791409, 9 pages. doi:10.1155/2014/791409. https://projecteuclid.org/euclid.aaa/1412278126

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