Global stability analysis in delayed cellular neural networks
Global stability analysis in delayed cellular neural networks
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DOI：
10.1016/s0898-1221(03)00149-4
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发表时间：
2003-05
影响因子：
2.9
通讯作者：
Jiye Zhang
中科院分区：
文献类型：
--
作者：
Jiye Zhang
本文在不假定激活函数有界性、单调性和可微性的前提下，给出了固定时滞细胞神经网络模型平衡点的存在唯一性和全局渐近稳定性的新条件。所得结果适用于对称和非对称互连矩阵，以及所有连续的非单调神经元激活函数。
In this paper, without assuming the boundedness, monotonicity, and differentiability of the activation functions, we present new conditions ensuring existence, uniqueness, and global asymptotical stability of the equilibrium point of cellular neural network models with fixed time delays. The results are applicable to both symmetric and nonsymmetric interconnection matrices, and all continuous nonmonotonic neuron activation functions.