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arXiv · 1201.3227

When is a set of LMIs a sufficient condition for stability?

Amir Ali Ahmadi·Raphael M. Jungers·Pablo A. Parrilo·Mardavij Roozbehani
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Abstract

We study stability criteria for discrete time switching systems. We investigate the structure of sets of LMIs that are a sufficient condition for stability (i.e., such that any switching system which satisfies these LMIs is stable). We provide an exact characterization of these sets. As a corollary, we show that it is PSPACE-complete to recognize whether a particular set of LMIs implies the stability of a switching system.

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Amir Ali Ahmadi, Raphael M. Jungers, Pablo A. Parrilo, Mardavij Roozbehani. 2012-01-16. When is a set of LMIs a sufficient condition for stability?. https://arxiv.org/abs/1201.3227

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