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时延神经元的Hopf分岔控制
引用本文:张洪,陈天麒.时延神经元的Hopf分岔控制[J].控制理论与应用,2006,23(2):181-186.
作者姓名:张洪  陈天麒
作者单位:1. 中央民族大学,物理与电子工程学院,北京,100081
2. 成都电子科技大学,电子工程学院,四川,成都,610054
基金项目:中央民族大学青年教师科研基金资助项目(CUN006)
摘    要:通过对时延神经元的分析得到相应的控制器,使时间延迟作为分岔参数得到有效的控制;由线性化理论确定出Hopf分岔点的位置,得到相应的控制条件,并从理论上证明了控制器的可行性.实例分析表明该理论与仿真结果相一致.

关 键 词:Hopf分岔  Routh-Huriwigz判别法  稳定性
文章编号:1000-8152(2006)01-0181-06
收稿时间:2004-05-31
修稿时间:2004-05-312005-05-13

Control of Hopf bifurcation for neuron with time-delay
ZHANG Hong,CHEN Tian-qi.Control of Hopf bifurcation for neuron with time-delay[J].Control Theory & Applications,2006,23(2):181-186.
Authors:ZHANG Hong  CHEN Tian-qi
Affiliation:Department of Automation and Computer-Aided Engineering, The Chinese University of Hong Kong, Shatin, NT, Hong Kong, China; Department of Electronics and Communication Engineering, Sun Yat-Sen University, Guangzhou Guangdong 510275, China
Abstract:In this paper,a Hopf bifurcation controller is derived from the analysis of time-delay neuron.The controller uses time-delay as active factor that is able to control the bifurcation efficiently.From linear theory,we get the point of Hopf bifurcation and corresponding criteria of stabilization,and the controller is theoretically proved to be viable.Examples are given and numerical simulations are performed to illustrate the results.
Keywords:Hopf bifurcation  Routh-Huriwigz method  stability
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