Hindmarsh-Rose神经元全局指数同步

吉林大学学报(工学版) ›› 2011, Vol. 41 ›› Issue (增刊1): 235-239.

Hindmarsh-Rose神经元全局指数同步

贾秋菊, 陈增强

南开大学信息技术科学学院, 天津 300071

收稿日期:2011-05-16 出版日期:2011-09-01 发布日期:2011-09-01
通讯作者: 陈增强(1964 ),男,教授.博士生导师.研究方向:智能预测控制.混沌系统与复杂动态网络.E-mail:chenzq@nankai.edu.cn. E-mail:chenzq@nankai.edu.cn
作者简介:贾秋菊(1986 ),女,硕士研究生.研究方向:非线性动力学分析.E-mail:jiariiuju2009@mail.nankai.edu.cn.
基金资助:
“863”国家高技术研究发展计划项目(2009AA04Z132);国家自然科学基金项目(60774088);高等学校博士学科点专项科研基金项目(20090031110029)

Global exponentially synchronization of Hindmarsh-Rose neuron model

JIA Qiu-ju, CHEN Zeng-qiang

Department of Automation, Nankai University, Tianjin 300071, China

Received:2011-05-16 Online:2011-09-01 Published:2011-09-01

摘要/Abstract

摘要：

通过使用简单的反馈控制器使两个初始条件不同、参数相同的耦合神经元达到全局指数同步。并通过构造一个正定的Lypanouv函数(其导数为负),证明了偏差系统的零解具有全局指数稳定性。从而不需要计算其Lypanouv指数就可使原来的驱动和响应系统达到完全同步。

关键词: 控制理论, Hindmarsh-Rose模型, 全局指数同步, 反馈控制, Lyapunov函数

Abstract:

Global exponential synchronization was reached between two coupled neuron models with same parameter values and different initial conditions through simple feedback control.Meanwhile,the zero solution of the error system was demonstrated to be global exponential stable by constructing a positive Lyapunov function of error system,whose derivative was negative.Therefore,completely synchronization can be reached between the drive system and receive system without calculating the Lyapunov exponent.

Key words: control theory, Hindmarsh-Rose model, globally exponentially synchronized, feedback controller, Lyapunov function

中图分类号:

TP13

贾秋菊, 陈增强. Hindmarsh-Rose神经元全局指数同步[J]. 吉林大学学报(工学版), 2011, 41(增刊1): 235-239.

JIA Qiu-ju, CHEN Zeng-qiang. Global exponentially synchronization of Hindmarsh-Rose neuron model[J]. 吉林大学学报(工学版), 2011, 41(增刊1): 235-239.

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