A new Lyapunov approach for global synchronization of non-autonomous chaotic systems

作者：Wu, Xiaofeng^*; Gui, Zhifang; Lin, Qian; Cai, Jianping

来源：Nonlinear Dynamics, 2010, 59(3): 427-432.

DOI：10.1007/s11071-009-9549-1

• Chaos
• Synchronization
• Non-autonomous chaotic system
• Linear state error feedback control

This paper proposes a new approach for finding the Lyapunov function to study the sufficient global synchronization criterion of master-slave non-autonomous chaotic systems via linear state error feedback control. The approach is first demonstrated in a synchronization scheme for the second-order non-autonomous chaotic systems and then generalized to the schemes for the nth-order non-autonomous chaotic systems. Some algebraic synchronization criteria for the second-order chaotic systems are obtained. The sharpness of the new criteria is compared with that of the existing criteria of the same type by numerical examples.

• 出版日期2010-2
• 单位闽南师范大学; 中国人民解放军海军工程大学