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On the convergence of linear switched systems

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-00371104
Contributor : Ulysse Serres <>
Submitted on : Tuesday, June 5, 2012 - 2:34:32 PM
Last modification on : Thursday, November 21, 2019 - 2:28:31 AM
Long-term archiving on: : Thursday, September 6, 2012 - 2:35:49 AM

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

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