Stability Analysis for Time-Delay Hamiltonian Systems

This paper investigates the asymptotically stability and robust stability for time-delay Hamiltonian systems. First, the asymptotical stability of two classes of time-delay Hamiltonian systems is studied and some sufficient conditions are derived based on the Lyapunov-Krasovskii (L-K) approach. Then, the robust stability is investigated for polytypic uncertain time-delay Hamiltonian systems, which possesses time-invariant uncertainties belonging to some convex bounded polytypic domain. Finally, several illustrative examples are studied to support the new results proposed in this paper

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