Input-output finite-time stability and stabilization of stochastic fuzzy systems with randomly occurring uncertainties and gain fluctuations

This paper studies the input-output finite-time stabilization problem of a class of fuzzy stochastic systems with randomly occurring uncertainties and (x, u)-dependent noises. By considering the randomly occurring gain fluctuations in controller gains, a fuzzy controller is designed to render the closed-loop system input-output finite-time stochastic stability with respect to some specified parameters. Through intensive stochastic analysis, a sufficient condition is established for the controller design via a convex optimization approach. A numerical example is exploited to demonstrate the effectiveness of the proposed design method.