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arXiv · 1407.8383

On the necessity of looped-functionals arising in the analysis of pseudo-periodic, sampled-data and hybrid systems

Corentin Briat·Alexandre Seuret
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Abstract

Looped-functionals have been shown to be relevant for the analysis of a wide variety of systems. However, the conditions obtained in previous works on the analysis of sampled-data, impulsive and switched systems have only been shown to be sufficient for the characterization of their associated discrete-time stability conditions. We prove here that these conditions are also \necessary. This result is derived for a wider class of linear systems, referred to as impulsive pseudo-periodic systems, that encompass periodic, impulsive, sampled-data and switched systems as special cases.

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Corentin Briat, Alexandre Seuret. 2014-07-31. On the necessity of looped-functionals arising in the analysis of pseudo-periodic, sampled-data and hybrid systems. https://arxiv.org/abs/1407.8383

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