Impulsive control of a class of vibro-impact systems

In this Letter, the impulsive control method is developed to stabilize the chaotic motions in a class of vibro-impact systems. The strategy of the control is to implement the pulses just when the impact occurs. As applications of this method, we present the numerical simulations of two impact oscillators. Our numerical results indicate that the method used here could suppress chaos into periodic orbits which embedded in the chaotic attractor effectively, and also show that the method is robust even for high levels of multiplicative noise or additive noise.