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arXiv · 1711.05024

On ISS-Lyapunov functions for infinite-dimensional linear control systems subject to saturations

Swann Marx·Yacine Chitour·Christophe Prieur
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Abstract

- This article deals with the derivation of ISS-Lyapunov functions for infinite-dimensional linear systems subject to saturations. Two cases are considered: 1) the saturation acts in the same space as the control space; 2) the saturation acts in another space, especially a Banach space. For the first case, an explicit ISS-Lyapunov function can be derived. For the second case, we can only ensure the existence of an ISS-Lyapunov function.

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Swann Marx, Yacine Chitour, Christophe Prieur. 2017-11-14. On ISS-Lyapunov functions for infinite-dimensional linear control systems subject to saturations. https://arxiv.org/abs/1711.05024

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