Robust stability of uncertain stochastic fuzzy systems with time-varying delays

Based on Takagi-Sugeno (T-S) fuzzy models, the problem of robust stability for a class of uncertain stochastic fuzzy systems with time-varying delays is studied. First, a class of uncertainty T-S dynamical fuzzy systems is given. By constructing Lyapunov-Krasovskii functional, novel delay-dependent stability sufficient conditions are derived based on linear matrix inequality(LMI). The results are less conservative than existing ones. Numerical examples are presented to show that the advantage and validity of the proposed approach.