离散Hopfield神经网络的稳定性研究
Study on Stability of Discrete-Time Hopfield NeuraL Networks
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摘要: 推广了前人关于离散Hopfield神经网络的稳定性定理及周期为2极限环的存在定 理,并从理论上给出了新的严格的证明.进一步,提出了关于部分变元稳定和部分变元为极限 环的新概念,并给出了判别定理.最后给出了几个有趣的例子,揭示这类网络渐近行为的复杂 性.
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关键词:
- 离散Hopfield神经网络 /
- 稳定性 /
- 周期解 /
- 平衡位置
Abstract: In this paper, we present some results for discrete-time Hopfield neural networks, which extend the stability results and existence criteria of 2-period limit cycles given by previous authors. These results are proved strictly here. Furthermore, we propose new conceps on the stability and limit cycles of part neurons in a network, and related criteria. Several examples are given to illustrate the complexity of the asymptoticall behavior of this kind of networks.-
Key words:
- Discrete-time Hopfield neural network /
- stability /
- periodic solution /
- equilibrium
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