Stability Conditions for Discrete Hopfield Neural Networks with Delay

MA Run-nian; LIU Nai-gong; XU Jin

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Stability Conditions for Discrete Hopfield Neural Networks with Delay

更新时间：2025-07-16

- Stability Conditions for Discrete Hopfield Neural Networks with Delay
- Acta Electronica Sinica Vol. 32, Issue 10, Pages: 1674-1677(2004)
- 作者机构：
  
  1. 西安交通大学管理学院,陕西,西安,710049
  2. 空军工程大学工程学院,陕西,西安,710038
  3. 华中科技大学系统科学研究所,湖北,武汉,430074
  4. 西安交通大学管理学院陕西西安,710049
  5. 空军工程大学工程学院陕西西安,710038
  6. 华中科技大学系统科学研究所湖北武汉,430074
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP183
- Published：2004
- 稿件说明：
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MA Run-nian, LIU Nai-gong, XU Jin. Stability Conditions for Discrete Hopfield Neural Networks with Delay[J]. Acta Electronica Sinica, 2004, 32(10): 1674-1677.
DOI：

MA Run-nian, LIU Nai-gong, XU Jin. Stability Conditions for Discrete Hopfield Neural Networks with Delay[J]. Acta Electronica Sinica, 2004, 32(10): 1674-1677. DOI：

摘要

主要利用状态转移方程和定义能量函数的方法对具有时延的离散Hopfield神经网络的动力学行为进行了研究

并且获得了若干稳定性结果.给出了延迟离散Hopfield神经网络收敛于周期为4的极限环的一个充分条件

获得了延迟网络有稳定状态的条件

并且得到了延迟网络既没有稳定状态也没有周期为2的极限环的条件.同时

这些结果用两个例子进行了验证.这些结果推广了一些已有的离散Hopfield神经网络的稳定性结果.

Abstract

The dynamic behavior of discrete Hopfield neural networks with delay is mainly studied by the use of the state transition equation and the energy function

and some results on stability are given.The sufficient conditions for the networks with delay converging towards a limit cycle of length 4

having a stable state

and neither having a stable state nor a limit cycle of length 2 are presented.Also

the obtained results are validated by giving two examples.The obtained results here extend some existing results on stability of discrete Hopfield neural network.

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