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

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  • 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.

Suggested Citation

  • Zhiguo Yan, 2014. "Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, June.
  • Handle: RePEc:hin:jnlaaa:791409
    DOI: 10.1155/2014/791409
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