Control of stochastic high-order nonlinear systems with time-varying delays

In this paper, a state-feedback based stabilization solution for stochastic high-order nonlinear systems with time-varying delays is presented. By adding one power integrator and increasing the system order by one, a state-feedback based control strategy is proposed for robust stabilization of a class of general uncertain nonlinear systems. Globally asymptotical stability is achieved in probability by choosing an appropriate Lyapunov Krasoviskii function. Rigid theoretical analysis is provided to support the result.