  In this note, we consider a kinetic Fokker-Planck-Alignment equation with
Rayleigh-type friction and self-propulsion force which is derived from general
environmental averaging models. We show the exponential relaxation in time
toward equilibrium of the solutions provided certain spectral gap conditions
are satisfied. The result is proved by using Desvillettes-Villani's method for
collisional models to establish the global hypocoercivity.
