On the convergence of linear switched systems

Ulysse Serres (1) , Jean-Claude Vivalda (2, 3) , Pierre Riedinger (4)

1 LAGEP - Laboratoire d'automatique et de génie des procédés
2 LMAM - Laboratoire de Mathématiques et Applications de Metz
3 CORIDA - Robust control of infinite dimensional systems and applications
4 CRAN - Centre de Recherche en Automatique de Nancy

This paper investigates sufficient conditions for the convergence to zero of the trajectories of linear switched systems. We provide a collection of results that use weak dwell-time, dwell-time, strong dwell-time, permanent and persistent excitation hypothesis. The obtained results are shown to be tight by counterexample. Finally, we apply our result to the three-cell converter.

Mots clés: dwell-time; stability; omega-limit set; three-cell converter; Switched systems

Domaines: Optimisation et contrôle [math.OC]

Ulysse Serres, Jean-Claude Vivalda, Pierre Riedinger. On the convergence of linear switched systems. IEEE Transactions on Automatic Control, 2011, 56 (2), pp.320-332. ⟨10.1109/TAC.2010.2054950⟩. ⟨hal-00371104v2⟩