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.
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Systems and Control Letters, Elsevier, 2012, 61 (10), pp.980-988. 〈10.1016/j.sysconle.2012.07.008〉
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Contributeur : Alexandre Seuret <>
Soumis le : mardi 21 août 2012 - 15:07:19
Dernière modification le : samedi 27 octobre 2018 - 01:30:12

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

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