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We present a set of results concerning the existence of Lyapunov-Krasovskiifunctionals for classes of nonlinear switched systems with time-delay. Inparticular, we first present a result for positive systems that relaxesconditions recently described in \cite{SunWang} for the existence of L-Kfunctionals. We also provide related conditions for positive coupleddifferential-difference positive systems and for systems of neutral type thatare not necessarily positive. Finally, corresponding results for discrete-timesystems are described.

On Lyapunov-Krasovskii Functionals for Switched Nonlinear Systems with Delay