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.
https://hal.laas.fr/hal-01857265
Contributor : Swann Marx
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Submitted on : Monday, October 29, 2018 - 1:19:14 PM
Last modification on : Thursday, August 22, 2019 - 11:32:02 AM
Long-term archiving on : Wednesday, January 30, 2019 - 3:11:27 PM
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⟩
