Lyapunov Exponents of Linear Switched Systems

2023/12/18 by Agrachev, Andrei A., Motta, Michele · 1 citation
#Dynamical Systems (math.DS) #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2312.11317

Abstract

We explicitly compute the maximal Lyapunov exponent for a switched system on SL₂(\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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