Comments on "Finite-time stability of discrete autonomous systems" [Automatica 122 (2020) 109282]
Résumé
Interestingly enough, some controllers and stability results in Haddad and Lee (2020) can be shown to be equivalent to algorithms obtained from the implicit or the semi-implicit Euler discretization of a set-valued system, which is known to preserve many nice properties of the continuous-time dynamics after discretization, like the convergence towards the (discrete) sliding surface in a finite number of steps.
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