Robust Stability of Time-Delayed Hopfield Neural Networks with Parameter Perturbations

JI Ce; ZHANG Hua-guang

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Robust Stability of Time-Delayed Hopfield Neural Networks with Parameter Perturbations

更新时间：2025-07-16

- Robust Stability of Time-Delayed Hopfield Neural Networks with Parameter Perturbations
- Acta Electronica Sinica Vol. 33, Issue 1, Pages: 115-118(2005)
- 作者机构：
  
  东北大学信息科学与工程学院,辽宁,沈阳,110004
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP183
- Published：2005
- 稿件说明：
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JI Ce, ZHANG Hua-guang. Robust Stability of Time-Delayed Hopfield Neural Networks with Parameter Perturbations[J]. Acta Electronica Sinica, 2005, 33(1): 115-118.
DOI：

JI Ce, ZHANG Hua-guang. Robust Stability of Time-Delayed Hopfield Neural Networks with Parameter Perturbations[J]. Acta Electronica Sinica, 2005, 33(1): 115-118. DOI：

摘要

研究一类具有参数摄动的时滞Hopfield神经网络模型的鲁棒稳定性.应用Lyapunov泛函法

给出了平衡点渐近稳定的充分条件.利用矩阵范数的性质及线性矩阵不等式(LMI)理论

又得到了两个便于计算和验证的推论.提供了一种估计网络渐近稳定平衡点吸引域的方法

并详尽地分析了吸引域对神经网络实现联想记忆的影响.数值例子进一步证明了结论的有效性.

Abstract

Robust stability of a class of time-delayed Hopfield neural network model with parameter perturbations is investigated.The sufficient condition of the asymptotic stability of equilibrium point is obtained by use of Lyapunov functional.By the properties of matrix norm and the theory of liner matrix inequality (LMI)

two computable and verifiable corollaries can be derived.A method of estimating the domain of attraction of equilibrium point is given

and the effect of the domain of attraction to the associated memory is analyzed in details.The numerical samples have proved the effectiveness of the results.

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Related Institution

Dept.of Computer,Fudan University

.O.Box 96 Beijing University of Posts and Telecommunications,Beijing

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