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

Аннотация: 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.

Ключевые слова: control theory, optimal control, switched system, dynamical systems, Lyapunov exponents

MSC: 93D20, 34H05, 49K15

Поступила в редакцию: 08.04.2025
Принята в печать: 10.07.2025

Язык публикации: английский

DOI: 10.1134/S1560354725040033