| 具饱和信号传输函数的二元离散神经网络收敛性与周期解的存在性 |
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| 引用本文： | 熊佩英,李雪梅. 具饱和信号传输函数的二元离散神经网络收敛性与周期解的存在性[J]. 湖南人文科技学院学报, 2005, 0(5): 10-12 |
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| 作者姓名： | 熊佩英 李雪梅 |
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| 作者单位： | 湖南城市学院,数学与计算科学系,湖南,益阳,413049;湖南师范大学,数学与计算机科学学院,湖南,长沙,410081;湖南师范大学,数学与计算机科学学院,湖南,长沙,410081 |
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| 摘 要： | 利用Lyapunov函数和Lasalle不变集原理讨论了一类具标准饱和信号传输函数的二元离散神经网络模型,得到了系统的稳定性和周期解的存在性等相关结论,改进了有关结果。
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| 关 键 词： | 离散系统 神经网络 收敛性 周期解 |
| 文章编号： | 1673-0712(2005)05-0010-03 |
| 修稿时间： | 2005-01-04 |
Convergence and Existence of Periodic Solutions for a Class of Discrete-time Model of Two Neurons with Standard Saturation Function |
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| XIONG Pei-ying,LI Xue-mei. Convergence and Existence of Periodic Solutions for a Class of Discrete-time Model of Two Neurons with Standard Saturation Function[J]. Journal of Hunan Institute of Humanities,Science and Technology, 2005, 0(5): 10-12 |
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| Authors: | XIONG Pei-ying LI Xue-mei |
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| Affiliation: | XIONG Pei-ying~ |
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| Abstract: | In the paper,the convergence and existence of periodic solutions are studied for a class of discrete-time model of two neurons with standard saturation function,by making use of the Lyapunov function and Lasalle's invariance principle,some new results are obtained by extending the result of paper[5] . |
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| Keywords: | difference system neural network convergence periodicity |
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