Stochastic finite-time stabilization of a class of stochastic T-S fuzzy system with the Ito´s-type

In this paper, the problem of stochastic finite-time stability and stabilization of a class of stochastic T-S fuzzy systems with Ito´s -type is studied. Firstly, a new finite-time stability concept for stochastic T-S fuzzy systems which is defined as finite-time stochastic stability is introduced. Secondly, a sufficient condition of stochastic finite-time stability is obtained for the family of stochastic T-S fuzzy systems. In the sequence, Designed state feedback controller is provided to guarantee that the underlying closed-loop system is stochastic finite-time stability in terms of strict linear matrix equalities with a fixed parameter. A sufficient condition of stochastic finite-time stabilization is given as well. Finally, two illustrative examples are presented to show the validity of the developed methodology.