  We study the dynamics and the resulting state after relaxation in a
quasi-disordered integrable lattice system after a sudden quench. Specifically,
we consider hard-core bosons in an isolated one-dimensional geometry in the
presence of a quasi-periodic potential whose strength is abruptly changed to
take the system out of equilibrium. In the delocalized regime, we find that the
relaxation dynamics of one-body observables, such as the density, the momentum
distribution function, and the occupation of the natural orbitals, follow, to a
good approximation, power laws. In that regime, we also show that the
observables after relaxation can be described by the generalized Gibbs
ensemble, while such a description fails for the momentum distribution and the
natural orbital occupations in the presence of localization. At the critical
point, the relaxation dynamics is found to be slower than in the delocalized
phase.
