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Journal Articles Systems and Control Letters Year : 2012

A looped-functional approach for robust stability analysis of linear impulsive systems

Abstract

A new functional-based approach is developed for the stability analysis of linear impulsive systems. The new method, which introduces looped-functionals, considers non-monotonic Lyapunov functions and leads to LMIs conditions devoid of exponential terms. This allows one to easily formulate dwell-times results, for both certain and uncertain systems. It is also shown that this approach may be applied to a wider class of impulsive systems than existing methods. Some examples, notably on sampled-data systems, illustrate the efficiency of the approach.

Dates and versions

hal-00724545 , version 1 (21-08-2012)

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Cite

Corentin Briat, Alexandre Seuret. A looped-functional approach for robust stability analysis of linear impulsive systems. Systems and Control Letters, 2012, 61 (10), pp.980-988. ⟨10.1016/j.sysconle.2012.07.008⟩. ⟨hal-00724545⟩
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