Stability Analysis and Estimation of Convergence Rate for Second Order Hopfield Neural Networks

XU Bing-ji; LIAO Xiao-xin; LIU Xin-zhi; CHEN Qin-sheng

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Stability Analysis and Estimation of Convergence Rate for Second Order Hopfield Neural Networks

更新时间：2025-07-16

- Stability Analysis and Estimation of Convergence Rate for Second Order Hopfield Neural Networks
- Acta Electronica Sinica Vol. 31, Issue 1, Pages: 41-44(2003)
- 作者机构：
  
  1. 华中科技大学控制科学与工程系,湖北,武汉,430074
  2. 滑铁卢大学应用数学系,滑铁卢,加拿大
  3. 山东理工大学物理系,山东,淄博,255012
  4. 华中科技大学控制科学与工程系湖北武汉,430074
  5. 滑铁卢大学应用数学系滑铁卢加拿大
  6. 山东理工大学物理系山东淄博,255012
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP183
- Published：2003
- 稿件说明：
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XU Bing-ji, LIAO Xiao-xin, LIU Xin-zhi, et al. Stability Analysis and Estimation of Convergence Rate for Second Order Hopfield Neural Networks[J]. Acta Electronica Sinica, 2003, 31(1): 41-44.
DOI：

XU Bing-ji, LIAO Xiao-xin, LIU Xin-zhi, et al. Stability Analysis and Estimation of Convergence Rate for Second Order Hopfield Neural Networks[J]. Acta Electronica Sinica, 2003, 31(1): 41-44. DOI：

摘要

本文讨论二阶连续Hopfield型神经网络平衡点的全局稳定性问题

利用LMI方法和Lyapunov方法得到了网络平衡点全局渐近稳定和全局指数稳定的几个充分条件

并对其指数收敛速度进行了估计.

Abstract

Global stability of equilibrium point of a class of second order Hopfield neural networks is discussed in this paper.Some sufficient conditions for the global asymptotic stability and global exponential stability of equilibrium point of such networks are obtained by means of Lyapunov functions and linear matrix inequalities(LMI'S)

the exponential convergence rate of equilibrium point is also estimated.

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Estimation of Domain of Attraction and Exponential Convergence Rate of Hopfield’s Continuous-Time Associative Memory and Its Applications

Related Author

梁学斌

吴立德

Related Institution

Dept.of Computer,Fudan University

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