Stochastic linear generalized synchronization of chaotic systems via robust control
- 作者：Aihua Hu ; Zhenyuan Xu
- 关键词：Chaos ; Generalized synchronization ; Robust control ; Noise
- 刊名：Physics Letters A
- 出版年：2008
- 期刊代码：57_03759601
- 类别：ph
- 出版时间：19 May 2008
- 卷：372
- 期：21
- 页码：3814-3818
- 文件大小：177 K
摘要
In this Letter, based on robust control, we provide a general theoretical result on stochastic linear generalized synchronization (GS) of chaotic systems. Given a driving system with noise perturbations and a linear synchronization function, a response system is developed easily according to the scheme derived here. By introducing the Lyapunov stability theory and linear matrix inequalities (LMIs), the condition for synchronization is proved to be effective. Finally, the Lorenz system is taken for illustration and verification.