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

Corentin Briat; Alexandre Seuret

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arXiv · 1207.1893

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

Corentin Briat·Alexandre Seuret

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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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BibTeX RIS

Corentin Briat, Alexandre Seuret. 2012-07-08. A looped-functional approach for robust stability analysis of linear impulsive systems. https://arxiv.org/abs/1207.1893

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