| 一类分布时滞竞争神经网络的全局渐近稳定性 |
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| 引用本文： | 刘慧明,王林山. 一类分布时滞竞争神经网络的全局渐近稳定性[J]. 聊城大学学报(自然科学版), 2010, 23(3) |
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| 作者姓名： | 刘慧明 王林山 |
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| 作者单位： | 中国海洋大学数学科学学院; |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 利用拓扑度理论和Lyapunov泛函,研究了一类分布时滞竞争神经网络的全局渐近稳定性,给出了平衡点的存在唯一性和全局渐近稳定性的判据.实例说明了判据的有效性.
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| 关 键 词： | 竞争神经网络 拓扑度理论 全局渐近稳定性 Lyapunov泛函 |
Global Asymptotic Stability of a Class of Competitive Neural Networks with Distributed Time Delays |
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| LIU Hui-ming,WANG Lin-shan. Global Asymptotic Stability of a Class of Competitive Neural Networks with Distributed Time Delays[J]. JOURNAL OF LIAOCHENG UNIVERSITY (NATURAL SCIENCE, 2010, 23(3) |
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| Authors: | LIU Hui-ming WANG Lin-shan |
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| Affiliation: | LIU Hui-ming WANG Lin-shan(Department of Mathematics,Ocean University of China,Qingdao 266071,China) |
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| Abstract: | By using the theory of topological degree and Lyapunov functional methods,the global asymptotic stability of a class of competitive neural networks with distributed time delays is discussed.The existence uniqueness and global asymptotic stability of equilibrium point are investigated.The result is illustrated by an example. |
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| Keywords: | competitive neural networks topological degree global asymptotic stability Lyapunov functional |
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