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arXiv · 1808.09757

Path-complete $p$-dominant switching linear systems

Guillaume O. Berger·Fulvio Forni·Raphaël M. Jungers
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Abstract

The notion of path-complete $p$-dominance for switching linear systems (in short, path-dominance) is introduced as a way to generalize the notion of dominant/slow modes for LTI systems. Path-dominance is characterized by the contraction property of a set of quadratic cones in the state space. We show that path-dominant systems have a low-dimensional dominant behavior, and hence allow for a simplified analysis of their dynamics. An algorithm for deciding the path-dominance of a given system is presented.

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Guillaume O. Berger, Fulvio Forni, Raphaël M. Jungers. 2018-08-29. Path-complete $p$-dominant switching linear systems. https://arxiv.org/abs/1808.09757

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