Lyapunov Exponents of Linear Switched Systems

    2025, Volume 30, Number 4, pp.  481-503

    Author(s): Agrachev A., Motta M.

    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, Volume 30, Number 4, pp. 481-503
    DOI: 10.1134/S1560354725040033



    Access to the full text on the Springer website