Delayed feedback control of chaos in a switched arrival system

In this Letter, the problem of controlling chaos in switched arrival systems is considered. Poincaré section and Poincaré mapping are introduced for defining periodic orbits of this hybrid system. A delayed impulsive feedback method is proposed for stabilizing unstable long periodic orbits embedded in the chaotic attractor. The method does not rely on a priori knowledge of the position of the orbit to be stabilized. The convergence of the proposed control algorithm is proved.