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Regular and Chaotic Dynamics, 2025, Volume 30, Issue 4, Pages 481–503
DOI: https://doi.org/10.1134/S1560354725040033 (Mi rcd1317) 		 
Special Issue: Celebrating the 75th Birthday of V.V. Kozlov (Issue Editors: Sergey Bolotin, Vladimir Dragović, and Dmitry Treschev)

Lyapunov Exponents of Linear Switched Systems

Andrei A. Agrachev, Michele Motta

SISSA, Via Bonomea 265, 34136 Trieste, Italy
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DOI: https://doi.org/10.1134/S1560354725040033
Abstract: We explicitly compute the maximal Lyapunov exponent for a switched system on $\mathrm{SL}_2(\mathbb R)$ and the corresponding switching function which realizes the maximal exponent. This computation is reduced to the characterization of optimal trajectories for an optimal control problem on the Lie group.
Keywords: control theory, optimal control, switched system, dynamical systems, Lyapunov exponents
Funding agency
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Received: 08.04.2025
Accepted: 10.07.2025
Document Type: Article
MSC: 93D20, 34H05, 49K15
Language: English
Citation: Andrei A. Agrachev, Michele Motta, “Lyapunov Exponents of Linear Switched Systems”, Regul. Chaotic Dyn., 30:4 (2025), 481–503
Citation in format AMSBIB
\Bibitem{AgrMot25}
\by Andrei A. Agrachev, Michele Motta
\paper Lyapunov Exponents of Linear Switched Systems
\jour Regul. Chaotic Dyn.
\yr 2025
\vol 30
\issue 4
\pages 481--503
\mathnet{http://mi.mathnet.ru/rcd1317}
\crossref{https://doi.org/10.1134/S1560354725040033}
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