Adaptive generalized function projective lag synchronization of different chaotic systems with fully uncertain parameters

作者：Wu Xiang-Jun^*; Lu Hong-Tao

来源：Chaos Solitons & Fractals, 2011, 44(10): 802-810.

DOI：10.1016/j.chaos.2011.04.006

• Chen hyperchaotic system
• Different chaotic systems
• Generalized functions
• Lyapunov stability theory
• Projective lag synchronizations
• Projective synchronization
• Synchronization method
• Uncertain chaotic systems

In this paper, a novel projective synchronization scheme called adaptive generalized function projective lag synchronization (AGFPLS) is proposed. In the AGFPLS method, the states of two different chaotic systems with fully uncertain parameters are asymptotically lag synchronized up to a desired scaling function matrix. By means of the Lyapunov stability theory, an adaptive controller with corresponding parameter update rule is designed for achieving AGFPLS between two diverse chaotic systems and estimating the unknown parameters. This technique is employed to realize AGFPLS between uncertain Lu chaotic system and uncertain Liu chaotic system, and between Chen hyperchaotic system and Lorenz hyperchaotic system with fully uncertain parameters, respectively. Furthermore, AGFPLS between two different uncertain chaotic systems can still be achieved effectively with the existence of noise perturbation. The corresponding numerical simulations are performed to demonstrate the validity and robustness of the presented synchronization method.

• 出版日期2011-10
• 单位上海交通大学; 河南大学