| 具有时滞的BAM细胞神经网络模型的全局指数稳定性 |
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| 引用本文： | 黎克麟.具有时滞的BAM细胞神经网络模型的全局指数稳定性[J].四川理工学院学报(自然科学版),2005,18(4):3-8. |
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| 作者姓名： | 黎克麟 |
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| 作者单位： | 四川理工学院数学系,四川,自贡,643000 |
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| 摘 要： | 利用拓扑度理论、推广的Halanaly矩阵时滞微分不等式、Lyapunov原理以及Dini导数, 研究了具有时滞的双向联想记忆细胞神经网络模型的全局指数稳定性。去掉了有关文献中要求输出函数 fj在实数集R上有界的务件,给出了条件要求更弱的判定平衡点的存在唯一性以及全局指数稳定性判 据,推广和改进了前人的相关结论。
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| 关 键 词： | 双向联想记忆(BAM)细胞神经网络 时滞 平衡点 全局指数稳定 拓扑度 Dini导数 |
| 文章编号： | 1673-1549(2005)04-0003-06 |
| 修稿时间： | 2005年6月9日 |
Global Exponential Stability of Bi-directional Associative Memory Cellular Neural Networks with Time Delay |
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| LI Ke-lin.Global Exponential Stability of Bi-directional Associative Memory Cellular Neural Networks with Time Delay[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2005,18(4):3-8. |
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| Authors: | LI Ke-lin |
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| Abstract: | The global exponential stability of bi-directional associative memory cellular neural networks with time delay is investigated by the use of topological degree, the extended Halanay's matrix delay differential inequality, the Lyapunov functional method, and Dini's derivative. Two theorems and two corollaries are obtained, in which the boundedness and differentiability of output fj on real number set R in some articles are deleted. These sufficient conditions for the existence of global exponential stable equilibrium of the networks in this paper are better than the sufficient conditions in quoted articles. |
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| Keywords: | bi-directional associative memory cellular neural networks time delay equilibrium point global exponential stability topological degree Dini's derivative |
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