LAUSR

This paper investigates the adaptive finite-time robust control problem of a class of nonlinear time-delay Hamiltonian systems via the Lyapunov-Krasovskii (L-K) method, and proposes some delay-dependent results on the issue. Different from existing works, this paper first presents a time-varying finite-time stability (FTS) criterion via an L-K functional approach, and obtains two FTS conditions by constructing specific L-K functionals. Then, the adaptive finite-time robust control problem is investigated for nonlinear time-delay port-controlled Hamiltonian (PCH) systems, and a control design procedure is presented. Finally, the effectiveness of the results is demonstrated by an illustrative example.