State feedback stabilization of stochastic high-order nonlinear systems with multiple high-order coupling terms

In this paper, the global stability of state feedback is studied for a class of stochastic high-order nonlinear systems with time-varying parameters and multiple high-order terms. By adding power integral method and selecting appropriate Lyapunov function, the design method of state feedback controller is given. Based on the stability theory of stochastic nonlinear systems, it is proved that the designed controller can ensure that the equilibrium point of the closed-loop system is globally asymptotically stable in probability. The simulation results of numerical examples verify the effectiveness of the method.