Abstract : This article deals with the stability analysis and the derivation of ISS-Lyapunov functions for infinitedimensional 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 prove the global asymptotic stability of the origin when considering all weak solutions.
Type de document :
Communication dans un congrès
European Control Conference (ECC 2018), Jun 2018, Limassol, Cyprus
https://hal.laas.fr/hal-01857265
Contributeur : Swann Marx
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Soumis le : lundi 29 octobre 2018 - 13:19:14
Dernière modification le : vendredi 7 décembre 2018 - 17:46:55
Swann Marx, Yacine Chitour, Christophe Prieur. Stability results for infinite-dimensional linear control systems subject to saturations. European Control Conference (ECC 2018), Jun 2018, Limassol, Cyprus. 〈hal-01857265v3〉
