Control of a unified chaotic system with delayed continuous periodic switch

A unified chaotic system with delayed continuous periodic switch is put forward based on the newly presented chaotic system with continuous periodic switch. This new system is more comprehensive and displays much richer dynamic behavior. The adaptive control and time-delay feedback control are concluded. In particular, we can find many unstable periodic orbits and stabilize them by the time-delay feedback technique. Theoretical analysis and numerical simulations show the effectiveness of these methods.