Adaptive complete synchronization of the noise-perturbed two bi-directionally coupled chaotic systems with time-delay and unknown parametric mismatch

作者：Xiao Yuzhu^*; Xu Wei; Tang Sufang; Li Xiuchun

来源：Applied Mathematics and Computation, 2009, 213(2): 538-547.

DOI：10.1016/j.amc.2009.03.049

• Noise-perturbed
• Parametric mismatch
• Time-delay
• Complete synchronization
• Bi-directionally coupling
• Adaptive control

In this paper, we design an adaptive-feedback controller to synchronize a class of noise-perturbed two bi-directionally coupled chaotic systems with time-delay and unknown parametric mismatch. Based on invariance principle of stochastic time-delay differential equations, some sufficient conditions of adaptive complete synchronization are given. Comparing with other papers, here we consider the effect of internal noise, time-delay and parametric mismatch in the synchronized process. As the illustrative examples, the famous Lorenz system and Rossler system are considered here. In order to validate the proposed scheme, numerical simulations are performed, and the numerical results show that our scheme is very effective.

• 出版日期2009-7-15
• 单位西北工业大学