Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632475 | Applied Mathematics and Computation | 2009 | 10 Pages |
Abstract
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 Rössler 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuzhu Xiao, Wei Xu, Sufang Tang, Xiuchun Li,