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.
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⟩
