Output feedback stabilization for stochastic high-order nonlinear time-delay systems

This paper investigates the output feedback stabilization problem for a class of stochastic high-order nonlinear systems with time-varying delay under weak conditions. The value range of homogeneous degree is firstly given to guarantee the existence and the uniqueness of the solution to the system. Then an output feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability, by combining homogeneous domination approach and Lyapunov-Krasovskii method. Finally, an example is given to illustrate the effectiveness of the proposed design procedure.