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.
Zhiguo Yan. "Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems." Abstr. Appl. Anal. 2014 (SI23) 1 - 9, 2014. https://doi.org/10.1155/2014/791409