Control of beam halo-chaos has been a more challenge subject in recent years, in which nonlinearfeedback method for beam halo-chaos has been developed for control of beam halo-chaos in high-currentproton linear accelerators. However, stability analysis of nonlinear feedback control methods for beamhalo-chaos has still been an open and important topic in this field. In this letter, we present a Control of beam halo-chaos has been a more challenge subject in recent years, in which nonlinearfeedback method for beam halo-chaos has been developed for control of beam halo-chaos in high-currentproton linear accelerators. However, stability analysis of nonlinear feedback control methods for beamhalo-chaos has still been an open and important topic in this field. In this letter, we present a