一类时滞Hopfield神经网络系统的全局稳定性
Global Stability of Delayed Hopfield Neural Network Models
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摘要: 研究一类时滞Hopfield神经网络系统的平衡状态的存在性与全局稳定性,这类系统放弃了以前对激活 函数的可微性与单调性要求。利用M矩阵理论,通过构造适当的Liapunov泛函,得到了系统全局渐近稳定的充 分条件,改进了以前的相关结论。Abstract: The existence of equilibrium and global stability are analyzed for delayed Hopfield neural network models, which have no the original requirements for monotonicity and differentiability in the activation function. By using M matrix theory, Liapunov functionals are constructed to establish the sufficient conditions for global asymptotic stability, thus the existing relevant results are improved.
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Key words:
- delay /
- neural network /
- global asymptotic stability /
- M matrix
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