Hopf Bifurcation Control for a Single Neuron Model with Delay-Dependent Parameters via State Feedback

被引：0
|
作者：
Xiao, Min [1 ]
机构：
[1] Nanjing Xiaozhuang Univ, Sch Math & Informat Technol, Nanjing 210017, Jiangsu, Peoples R China
来源：
ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT I | 2011年 / 6675卷
关键词：
Hopf bifurcation control; Delay-dependent parameters; State feedback; STABILITY;
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper deals with Hopf bifurcation control for a single neuron model with delay-dependent parameters. It has been shown that the system without control cannot guarantee a stationary state. As the range parameter of the system passes a critical value, Hopf bifurcation occurs early. To control the Hopf bifurcation, a state feedback controller is proposed to postpone the onset of undesirable Hopf bifurcation. Numerical simulation results confirm that the state feedback is efficient in controlling Hopf bifurcation.
引用
收藏
页码：132 / 138
页数：7
相关论文
共 50 条
  • [31] Criticality of Hopf bifurcation in state-dependent delay model of turning processes
    Insperger, Tamas
    Barton, David A. W.
    Stepan, Gabor
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2008, 43 (02) : 140 - 149
  • [32] Critical values of stability and Hopf bifurcations for a delayed population model with delay-dependent parameters
    Fan, Li
    Shi, Zhongke
    Tang, Sanyi
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (01) : 341 - 355
  • [33] Hopf bifurcation analysis for a model of single genetic negative feedback autoregulatory system with delay
    Cao, Jianzhi
    Jiang, Haijun
    [J]. NEUROCOMPUTING, 2013, 99 : 381 - 389
  • [34] The stability analysis and control of Hopf bifurcation of a neuron model
    Yuan, Chun-Hua
    Wang, Jiang
    [J]. Zhendong Gongcheng Xuebao/Journal of Vibration Engineering, 2015, 28 (01): : 52 - 58
  • [35] BIFURCATION CONTROL OF A CONGESTION CONTROL MODEL VIA STATE FEEDBACK
    Xiao, Min
    Zheng, Wei Xing
    Cao, Jinde
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (06):
  • [36] Hopf bifurcation control of the ML neuron model with Hc bifurcation type
    Zhu, Qinghua
    Li, Meng
    Han, Fang
    [J]. ELECTRONIC RESEARCH ARCHIVE, 2022, 30 (02): : 615 - 632
  • [37] PD Control at the Hopf Bifurcation Point of a Neuron System with Inertia and Delay
    Shi, Shuo
    Wang, Huaifei
    Xiao, Min
    [J]. 2019 3RD INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE, AUTOMATION AND CONTROL TECHNOLOGIES (AIACT 2019), 2019, 1267
  • [38] New results for Hopf bifurcation in an inertial neuron model with a discrete delay
    Li, SR
    Li, SW
    Yang, ED
    Wang, XH
    [J]. 2005 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS, VOLS 1 AND 2, PROCEEDINGS: VOL 1: COMMUNICATION THEORY AND SYSTEMS, 2005, : 1131 - 1134
  • [39] H∞ State Feedback Delay-dependent Control for Discrete Systems with Multi-time-delay
    Bai-Da Qu Control Science and Engineering Center
    [J]. Machine Intelligence Research, 2005, (02) : 107 - 113
  • [40] H∞ state feedback delay-dependent control for discrete systems with multi-time-delay
    Bai-Da Qu
    [J]. International Journal of Automation and Computing, 2005, 2 (2) : 107 - 113
12345