Robustly Stochastic Stability Criteria for Takagi-Sugeno Fuzzy Markov Jump System

The problem of robustly stochastic stability criterion for Takagi-Sugeno (T-S) uncertain fuzzy Markov jump system is investigated in this paper. First, we define a type of T-S fuzzy Markov jump system, whose membership function depends on the system mode. In order to get less conservative robustly stochastic stability criterions, we introduce a fuzzy Lyapunov functional and its weak infinitesimal operator for fuzzy Markov jump system. The robustly stochastic stability for the T-S fuzzy Markov jump system with time-varying structured uncertainties are presented in the form of strict linear matrix inequalities (LMIs).