| 具变和分布时滞的神经网络系统的指数稳定性 |
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| 引用本文： | 蒋和平,蒋威. 具变和分布时滞的神经网络系统的指数稳定性[J]. 合肥学院学报(自然科学版), 2009, 19(1): 1-4,12 |
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| 作者姓名： | 蒋和平 蒋威 |
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| 作者单位： | 安徽大学数学科学学院,合肥,230039;安徽大学数学科学学院,合肥,230039 |
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| 基金项目： | 国家自然科学基金，教育部重点科研项目 |
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| 摘 要： | 基于泛函微分方程的稳定性理论，通过构造Lyapunov泛函和利用不等式pa^n-1b≤（p-1）a^p＋b^p（这里p为正整数，a，b为非负实数），对一类含具变和分布时滞的系统的指数稳定性问题进行探讨，并列举了一个例子验证了定理结论的正确性．
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| 关 键 词： | Lyapunov泛函 指数稳定性 神经网络 具变和分布时滞 |
Exponential Stability of the Neural Networks with Variable and Distribution Delays |
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| JIANG He-ping,JIANG Wei. Exponential Stability of the Neural Networks with Variable and Distribution Delays[J]. Journal of Hefei University(Natural Sciences Edition), 2009, 19(1): 1-4,12 |
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| Authors: | JIANG He-ping JIANG Wei |
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| Affiliation: | School of Mathematics Science;Anhui University;Hefei230039;China |
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| Abstract: | Based on the stability theory of functional differential equations, the exponential stability of the systems with both variable and distributed delays was discussed through constructing the Lyapunov functions and applying the inequality pa^p-1b ≤ （p - 1 ）a^p ＋ b^p , where p denotes a positive integer; a and b are nonnegative real numbers. |
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| Keywords: | Lyapunov functions exponential stability neural networks variable and distribution delays |
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