On stabilizability conditions for discrete-time switched linear systems

Mirko Fiacchini (1) , Antoine Girard (2) , Marc Jungers (3)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité
2 CASYS - Calculs Algébriques et Systèmes Dynamiques
3 CRAN - Centre de Recherche en Automatique de Nancy

In this paper we consider the stabilizability property for discrete-time switched linear systems. Novel conditions, in LMI form, are presented that permit to combine generality with computational affordability. The relations and implications between different conditions, new ones and taken from literature, for stabilizability are analyzed to infer and compare their conservatism and their complexity.

Domaines: Automatique / Robotique; Systèmes dynamiques [math.DS]; Optimisation et contrôle [math.OC]

Mirko Fiacchini, Antoine Girard, Marc Jungers. On stabilizability conditions for discrete-time switched linear systems. 53rd IEEE Conference on Decision and Control, CDC 2014, Dec 2014, Los Angeles, United States. pp.5469-5474, ⟨10.1109/CDC.2014.7040244⟩. ⟨hal-01084388⟩