Stochastic stability for positive T-S fuzzy Markovian jump systems with time delays

This paper treats the issue of stochastic stability for continuous-time positive fuzzy Markovian jump systems (PFMJSs) with time delays. A sufficient condition for stochastic stability of PFMJSs is firstly established by implying the multiple linear Lyapunov function depending on the bound of time-varying delays in standard linear programming (LP). The Lotka-Volterra population model shows the validity of the conclusions.