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arXiv · 1209.0444

Affine characterizations of minimum and mode-dependent dwell-times for uncertain linear switched systems

Corentin Briat·Alexandre Seuret
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Abstract

An alternative approach for minimum and mode-dependent dwell-time characterization for switched systems is derived. The proposed technique is related to Lyapunov looped-functionals, a new type of functionals leading to stability conditions affine in the system matrices, unlike standard results for minimum dwell-time. These conditions are expressed as infinite-dimensional LMIs which can be solved using recent polynomial optimization techniques such as sum-of-squares. The specific structure of the conditions is finally utilized in order to derive dwell-time stability results for uncertain switched systems. Several examples illustrate the efficiency of the approach.

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Corentin Briat, Alexandre Seuret. 2012-09-03. Affine characterizations of minimum and mode-dependent dwell-times for uncertain linear switched systems. https://arxiv.org/abs/1209.0444

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