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

Swann Marx 1 Yacine Chitour 2 Christophe Prieur 3
1 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
LAAS - Laboratoire d'analyse et d'architecture des systèmes [Toulouse]
3 GIPSA-SYSCO - SYSCO
GIPSA-DA - Département Automatique
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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Rapport LAAS n° 17412. 2017
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  • HAL Id : hal-01631773, version 1
  • ARXIV : 1711.05024

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Swann Marx, Yacine Chitour, Christophe Prieur. On ISS-Lyapunov functions for infinite-dimensional linear control systems subject to saturations. Rapport LAAS n° 17412. 2017. 〈hal-01631773〉

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