Design of O(ε) dwell-time graph for stability of singularly perturbed hybrid linear systems

Abstract : The paper deals with singularly perturbed hybrid systems. It proposes a methodology for building a graph defining all the rules that ensure the origin is a stable equilibrium in presence of a dwell-time of order of the parameter defining the ratio between the two timescales of the system. In this framework one can also treat the corresponding problem for interesting particular cases such as: singularly perturbed switched linear systems without impulses, one scale hybrid systems or one scale switched systems. A numerical example illustrates the theoretical results completing the paper.
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Jihene Ben Rejeb, Irinel-Constantin Morărescu, Antoine Girard, Jamal Daafouz. Design of O(ε) dwell-time graph for stability of singularly perturbed hybrid linear systems. IEEE American Control Conference (ACC) 2017, May 2017, Seattle, WA, United States. ⟨10.23919/acc.2017.7963115 ⟩. ⟨hal-01538604⟩

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