Michele Motta

Publications:

Agrachev A., Motta M.
Lyapunov Exponents of Linear Switched Systems
2025, vol. 30, no. 4, pp.  481-503
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
Citation: Agrachev A., Motta M.,  Lyapunov Exponents of Linear Switched Systems, Regular and Chaotic Dynamics, 2025, vol. 30, no. 4, pp. 481-503
DOI:10.1134/S1560354725040033

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