A novel stability analysis of linear systems under asynchronous samplings

Alexandre Seuret (1)

1 NECS - Networked Controlled Systems

This article proposes a novel approach to assess stability of continuous linear systems with sampled-data inputs. The method, which is based on the discrete-time Lyapunov theorem, provides easy tractable stability conditions for the continuous-time model. Su±cient conditions for asymptotic and exponential stability are provided dealing with synchronous and asynchronous samplings and uncertain systems. An additional stability analysis is provided for the cases of multiple sampling periods and packet losses. Several examples show the effciency of the method.

Domaines: Automatique / Robotique

Alexandre Seuret. A novel stability analysis of linear systems under asynchronous samplings. Automatica, 2012, 48 (1), pp.177-182. ⟨10.1016/j.automatica.2011.09.033⟩. ⟨hal-00610561v3⟩