Abstract
Novel sufficient conditions are given for input-to-state stability (ISS) to imply integral-ISS (iISS) of time-varying time-delay systems. These conditions are more general and less restrictive than existing ones. Outstanding points of generality are that neither continuity with respect to time nor Lipschitz continuity with respect to the input is required from the function defining the system dynamics. Increased generality is achieved via the analysis of properties of solutions, without requiring converse Lyapunov theorems.
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