The control and synchronization of a class of chaotic systems with a novel input

• This paper investigates the control and synchronization of a class of chaotic systems.
• A new controller which may be either discontinuous or continuous is proposed.
• Some novel criteria for control and synchronization of chaotic systems are proposed.
• Numerical results are given to demonstrate the effectiveness of the proposed schemes.

This paper is concerned with the control and synchronization of a class of chaotic systems. The chaotic system or the response system is controlled by input which may be either discontinuous or continuous variable. Based on the stability theory some novel criteria for control and synchronization of the chaotic systems are proposed. The Lorenz chaotic system is taken as an example to demonstrate the effectiveness of the proposed schemes.