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arXiv · 1703.05483

Stabilizing switching signals: a transition from point-wise to asymptotic conditions

Atreyee Kundu·Debasish Chatterjee
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Abstract

Characterization of classes of switching signals that ensure stability of switched systems occupies a significant portion of the switched systems literature. This article collects a multitude of stabilizing switching signals under an umbrella framework. We achieve this in two steps: Firstly, given a family of systems, possibly containing unstable dynamics, we propose a new and general class of stabilizing switching signals. Secondly, we demonstrate that prior results based on both point-wise and asymptotic characterizations follow our result. This is the first attempt in the switched systems literature where these switching signals are unified under one banner.

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Atreyee Kundu, Debasish Chatterjee. 2017-03-16. Stabilizing switching signals: a transition from point-wise to asymptotic conditions. https://doi.org/10.1016/j.sysconle.2017.06.001

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