Memoryless robust control of a class of nonlinear uncertain time-delay system in large-domain

The problem of memoryless robust stabilization is discussed for a class of nonlinear uncertain systems with time-varying delay. The time-varying delay is assumed to unknown but known bound. The uncertainties are dependent on the delay states and have known bounds. No matching and Lipschitz´s boundedness conditions are required. The continuous state feedback controller is proposed based on the Lyapunov direct methods such that the trajectories of the closed-loop nonlinear uncertain time-delay systems are uniformly and ultimately bounded on a compact set of which the diameter can be made arbitrarily large by choosing design parameters. The authors show that several previous results can be considered as a special cases. The effectiveness of the proposed approaches are demonstrated by the simulation results