Is a point-wise dissipation rate enough to show ISS for time-delay systems?

Abstract : In this paper, we address the question whether input-to-state stability (ISS) of nonlinear time-delay systems is guaranteed when a Lyapunov-Krasovskii func- tional (LKF) satisfies a dissipation inequality in which the dissipation rate in- volves solely the present value of the state. We do not yet confirm or infirm this conjecture, but rather identify growth restrictions, on the LKF or on the vector field ruling the dynamics, under which it holds true. An example taken from the neuroscience literature illustrates our findings. We also list a series of robustness properties that naturally hold under this point-wise dissipation inequality, and indicate possible research directions to confirm our conjecture.
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Communication dans un congrès
IFAC World Congress, Jul 2017, Toulouse, France. 2017, Proc. IFAC World congress
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01493650
Contributeur : Antoine Chaillet <>
Soumis le : mardi 21 mars 2017 - 22:29:37
Dernière modification le : jeudi 11 janvier 2018 - 06:19:11
Document(s) archivé(s) le : jeudi 22 juin 2017 - 14:24:18

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  • HAL Id : hal-01493650, version 1

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Antoine Chaillet, Pierdomenico Pepe, Paolo Mason, Yacine Chitour. Is a point-wise dissipation rate enough to show ISS for time-delay systems?. IFAC World Congress, Jul 2017, Toulouse, France. 2017, Proc. IFAC World congress. 〈hal-01493650〉

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