Fuzzy Lyapunov stability analysis of discrete type II TSK systems

We propose a new approach for the stability analysis of discrete Sugeno type II fuzzy systems. The new approach uses arguments similar to those of traditional Lyapunov stability theory with positive and negative definite functions replaced by fuzzy positive definite and fuzzy negative definite functions, respectively. We derive new conditions for stability, asymptotic stability, and exponential stability for this class of fuzzy systems. To demonstrate the new approach, we apply it to a numerical example.