On Input-to-State Stabilization of Switching Retarded Control Systems

This letter addresses input-to-state stabilization results for nonlinear switching retarded control systems. A methodology based on Fréchet differentiable Lyapunov-Krasovskii functionals is developed in order to compute input-to-state stabilizing controllers, with respect to actuator errors, for globally asymptotically stabilizable systems. The problem of input-to-state practical stabilization is also investigated and an efficient method is proposed in this context. Two examples are reported in order to show the effectiveness of the proposed methodologies.