New results on the fourth moment exponentially stable for a class of stochastic nonlinear systems and its application

Abstract

Under the relaxed triangular-type condition on the drift terms and diffusion terms, this paper investigates the problem of the fourth moment exponentially stable for a class of stochastic nonlinear systems by, respectively, adopting state feedback and output feedback. Based on the Lyapunov stability criterion, the parameter-dependent controller, which is used to compensate for the drift terms and diffusion terms, is constructed such that the closed-loop system is fourth moment exponentially stable. Furthermore, the fourth moment exponential stability of the system states and errors can be guaranteed. Two simulation examples are provided to demonstrate the effectiveness of the proposed design scheme.