On Liapunov-Krasovskii functionals under Carathéodory conditions


In this paper, a basic property that a Liapunov-Krasovskii functional must have when used for studying the stability of time delay systems under Carath¶eodory conditions is studied. This property concerns the equality, almost everywhere, of the upper right-hand Dini derivative of the Liapunov-Krasovskii functional evaluated at the solution, and of the… (More)
DOI: 10.1016/j.automatica.2006.10.024



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