Stabilization of nonlinear time delay systems with delay-independent feedback

The concept of control Lyapunov functions and its extension to control Lyapunov-Razumikhin functions (CLRF) has proven a useful tool for designing robust control laws for nonlinear systems. In particular, CLRF based domination redesign can be used to robustly stabilize nonlinear time-delay systems. In this paper, we explore the possibility of using the domination redesign to obtain stabilizing control laws that do not depend on the past state values. The advantages are simpler implementation, robustness to uncertainty in the delay, and the possibility to "back-step" the stabilizing controller for a subsystem through an integrator or a chain of integrators.