Adaptive State-feedback Stabilization for More General High-order Stochastic Nonlinear Systems

An adaptive state-feedback stabilization is investigated for a class of high-order stochastic nonlinear systems in which the upper bound of the function fi(·) depends on the state xi+1 besides the states x1, …, xi and z. A smooth adaptive state-feedback controller is designed, which guarantees that the closed-loop system has an almost surely unique solution, and the equilibrium is globally stable in probability. A numerical simulation example is given to show the systematic design and the effectiveness of controller.