ISS Lyapunov-Krasovskii theorem with point-wise dissipation : a V-stability approach

Titelangaben

Mironchenko, Andrii ; Wirth, Fabian ; Chaillet, Antoine ; Brivadis, Lucas:
ISS Lyapunov-Krasovskii theorem with point-wise dissipation : a V-stability approach.
In: 2024 IEEE 63rd Conference on Decision and Control (CDC) : Proceedings. - Piscataway, NJ, USA : IEEE , 2024 . - S. 7896-7901
ISBN 979-8-3503-1633-9
DOI: https://doi.org/10.1109/CDC56724.2024.10886158

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Abstract

We show that the existence of a Lyapunov- Krasovskii functional (LKF) with a point-wise dissipation suffices for ISS of time-delay systems, provided that uniform global stability can also be ensured using the same LKF. To prove this result, we develop a stability theory, in which the behavior of solutions is not assessed through the classical norm but rather through a specific LKF, which may provide significantly tighter estimates.