Global impulsive exponential synchronization of stochastic perturbed chaotic delayed neural networks |
| |
Authors: | Zhang Hua-Guang Ma Tie-Dong Fu Jie Tong Shao-Cheng |
| |
Institution: | Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, China; School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; Department of Mathematics and Physics, Liaoning University of Technology, Jinzhou 121001, China |
| |
Abstract: | In this paper, the global impulsive exponential synchronization
problem of a class of chaotic delayed neural networks (DNNs) with
stochastic perturbation is studied. Based on the Lyapunov stability
theory, stochastic analysis approach and an efficient impulsive
delay differential inequality, some new exponential synchronization
criteria expressed in the form of the linear matrix inequality (LMI) are
derived. The designed impulsive controller not only can globally
exponentially stabilize the error dynamics in mean square, but also
can control the exponential synchronization rate. Furthermore, to
estimate the stable region of the synchronization error dynamics, a
novel optimization control algorithm is proposed, which can deal
with the minimum problem with two nonlinear terms coexisting in LMIs
effectively. Simulation results finally demonstrate the
effectiveness of the proposed method. |
| |
Keywords: | exponential synchronization chaotic delayed neural networks impulsive control stochastic perturbation |
本文献已被 维普 等数据库收录! |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|