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Stability of switched systems on non-uniform time domains with non commuting matrices

Abstract : The time scale theory is introduced to study the stability of a class of switched linear systems on non-uniform time domains, where the dynamical system commutes between a continuous-time linear subsystem and a discrete-time linear subsystem during a certain period of time. Without assuming that matrices are pairwise commuting, some conditions are derived to guarantee the exponential stability of the switched system by considering that the continuous-time subsystem is stable and the discrete-time subsystem can be stable or unstable. Some examples show the effectiveness of the proposed scheme.
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Submitted on : Friday, October 29, 2021 - 3:49:48 PM
Last modification on : Wednesday, November 3, 2021 - 4:00:51 AM

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Fatima Zohra Taousser, Michael Defoort, Mohamed Djemai, Seddik Djouadi. Stability of switched systems on non-uniform time domains with non commuting matrices. 6th IFAC Conference on Analysis and Design of Hybrid Systems, Jul 2018, Oxford, United Kingdom. pp.37-42, ⟨10.1016/j.ifacol.2018.08.007⟩. ⟨hal-03409309⟩

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