Preprints, Working Papers, ... Year : 2023

Lyapunov Exponents of Linear Switched Systems

Abstract

We explicitly compute the maximal Lyapunov exponent for a switched system on $\mathrm{SL}_2(\mathbb R)$. This computation is reduced to the characterization of optimal trajectories for an optimal control problem on the Lie group.

Dates and versions

hal-04353841 , version 1 (19-12-2023)

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Andrei A. Agrachev, Michele Motta. Lyapunov Exponents of Linear Switched Systems. 2023. ⟨hal-04353841⟩
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