L2 disturbance attenuation for a class of neutral Hamiltonian systems with time-delay and uncertainties

This paper deals with the L2 disturbance attenuation problem for a class of neutral time-varying delay Hamiltonian control systems with parametric uncertainties and external disturbances. Firstly, a delay-dependent stability criterion is proposed based on Lyapunov-Krasovskii (L-K) functional approach for the neutral Hamiltonian systems without uncertainties and disturbances. Secondly, the problem of L2 disturbance attenuation is considered and an adaptive feedback control law, as well as a γ-dissipative inequality are constructed. With these, a sufficient condition of asymptotically stability for the resulted closed-loop systems is presented. Finally, two numerical examples are provided to illustrate the theoretical developments.