Synchronization Between Two Different Switched Chaotic Systems By Switching Control

• Main Authors: Du Li Ming, Wang Feng Ying, Dong Jie, Li Zheng Yu
• Format: Article
• Language: English
• Published: EDP Sciences 2016-01-01
• Series: MATEC Web of Conferences
• Online Access: http://dx.doi.org/10.1051/matecconf/20166301032

This paper is concerned with the synchronization problem of two different switched chaotic systems, considering the general case that the master-slave switched chaotic systems have uncertainties. Two basic problems are considered: one is projective synchronization of switched chaotic systems under arbitrary switching; the other is projective synchronization of switched chaotic systems by design of switching when synchronization cannot achieved by using any subsystems alone. For the two problems, common Lyapunov function method and multiple Lyapunov function method are used respectively, an adaptive control scheme has been presented, some sufficient synchronization conditions are attainted, and the switching signal is designed. Finally, the numerical simulation is provide to show the effectiveness of our method.