Stabilization of nonlinear delay Hamiltonian system with actuator saturation and input delay

This paper investigates the stabilization problem for a class of nonlinear time-delay Hamiltonian systems with actuator saturation and input delay, and proposes delay-independent and delay-dependent results on the systems by applying Lyapunov-Krasovskii (L-K) functional method. Different from existing methods, we construct a suitable L-K functional to overcome the input delay problems, obtain some less conservative results by introducing some free weighted matrices. The study of an illustrative example shows that the results obtained in this paper work very well in the stabilization analysis of some nonlinear time-delay Hamiltonian systems.