Global Stabilization for a Class of Nonlinear Time-Varying Delays Systems with Unknown Output Function

In this paper, we focus on the problem of global stabilization via output feedback for a class of time-delay nonlinear systems subject to unknown output function. The uncertain nonlinearities are assumed to be satisfied with homogeneous growth conditions. By choosing appropriate Lyapunov-Krasovskii functional, a proper gain is picked for the controller and observer to render the considered nonlinear time-delay systems globally asymptotically stable based on the homogenous domination approach. A numerical example further verifies the feasibility of the output feedback controller.