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1 NECS - Networked Controlled Systems Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique 2 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande LAAS - Laboratoire d-analyse et d-architecture des systèmes Toulouse 3 IIT Armour - Mechanical, Materials, and Aerospace Engineering

Abstract : This article proposes a new approach to stability analysis of linear systems with sampled-data inputs or channels. The method, based on a variation of the discrete-time Lyapunov approach, provides stability conditions using functional variables subject to convex constraints. These stability conditions can be solved using the sum of squares methodology with little or no conservatism in both the case of synchronous and asynchronous sampling. Numerical examples are included to show convergence.

Keywords : Sampled-Data systems Lyapunov function Sum of Squares





Author: Alexandre Seuret - Matthew M. Peet -

Source: https://hal.archives-ouvertes.fr/



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