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时滞双向联想记忆神经网络的全局稳定性
引用本文:张强,高琳,王超,许进. 时滞双向联想记忆神经网络的全局稳定性[J]. 物理学报, 2003, 52(7): 1600-1605
作者姓名:张强  高琳  王超  许进
作者单位:(1)华中科技大学控制科学与工程系,武汉 430074; (2)西安电子科技大学电子工程研究所,西安 710071
基金项目:国家自然科学基金(批准号:69971018和60071026)资助的课题-
摘    要:通过构造一个合适的Lyapunov泛函及应用不等式的分析技巧研究了具有时滞的双向联想记忆 神经网络的平衡点的全局稳定性问题-在对神经元激励函数较宽松的假设条件下(可以不满 足Lipschitz条件),获得了一个新的保证全局渐近稳定性的判定准则-结果可应用于包含非 Lipschitz的一类更加广泛的神经元激励函数的神经网络的设计中-关键词:Lyapunov泛函时滞双向联想记忆神经网络全局渐近稳定性

关 键 词:Lyapunov泛函  时滞  双向联想记忆神经网络  全局渐近稳定性
收稿时间:2002-05-19
修稿时间:2002-05-19

Global stability of bidirectional associative memory neural networks with dela ys
Zhang Qiang,Gao Lin,Wang Chao and Xu Jin. Global stability of bidirectional associative memory neural networks with dela ys[J]. Acta Physica Sinica, 2003, 52(7): 1600-1605
Authors:Zhang Qiang  Gao Lin  Wang Chao  Xu Jin
Abstract:The stability of the equilibrium point of bidirectional associative memory (BAM) neural networks with delays is studied by constructing a suitable Lyapunov functional and combining with some inequality analysis techniques- On the assumption that the activation functions of neurons are less restrictive than those in t he literature (which may not satisfy Lipschitz condition), a new sufficient cond ition ensuring the global asymptotic stability of BAM neural networks with delay s is derived- The results presented here can be applied to the design of a wider class of neural networks including non-Lipschitz activation functions of neuron s-
Keywords:Lyapunov functional   delays   bidirectional associative memory neural networks   global asymptotic stability
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