Chaos control of unified chaotic system base on tridiagonal matrix stability theory and adaptive hybrid synchronization

Yaolin Huang, Shuangli Wang, Chengjun Xie, Zhuo Jiang, Jinyan Zhao

College of Computer Science and Technology, Beihua University, Jilin, 132021, China

This paper presents a new chaos control method to control the unified chaotic system to zero. In order to control a unified chaotic system to zero, the first step is to design a stable system, which stable to zero base on tridiagonal matrix stability theory, the stable system as the master system. The second step is to make the unified chaotic system with controlled as slave system, the third step to make the master system and the slave system synchronization. Different system state apply different adaptive synchronize method to realize synchronization. The adaptive control law and parameter update law are obtained base on Lyapunov stability theory. Numerical simulations are presented to demonstrate the effectiveness of theoretical analysis.