Lyapunov Exponents of Linear Switched Systems

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.

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Bibliographic Details
Published inarXiv.org
Main Authors Agrachev, Andrei A, Motta, Michele
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 18.12.2023
Subjects
Liapunov exponents
Lie groups
Optimal control
Trajectory control
Trajectory optimization
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Summary: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.
ISSN:2331-8422