The cost rate of nonlinear remote stabilization on the Aubry--André lattice: a reflected off-spectral exponent and the sharp identity for almost every phase

Nassim Athmouni, Nejib Brahmia, Ahmed Hachani

We study the exponential rate $r(\alpha ,\lambda )$ of the energy ${\mathcal{E}}_N$ needed to steer a far site, at distance $N$, of an Aubry--André chain $H_{\lambda }$ via one boundary actuator with clos…