Stabilization analysis of time-delay Hamiltonian systems in the presence of saturation

The stabilization of a class of Hamiltonian systems with state time-delay and input saturation is addressed in this paper. Sufficient conditions are derived by using Lyapunov–Krasovskii functional theorem to guarantee the systems as well as the resulted closed-loop systems by output feedback to be asymptotically stable when input saturation effectively occurs. A numerical example is presented to illustrate the effectiveness of the obtained results in this paper.