| 具时滞离散和分布BAM神经网络的全局渐近稳定性 |
| |
| 引用本文： | 丁丹军.具时滞离散和分布BAM神经网络的全局渐近稳定性[J].扬州大学学报(自然科学版),2009,12(4). |
| |
| 作者姓名： | 丁丹军 |
| |
| 作者单位： | 扬州大学数学科学学院,江苏,扬州,225002;连云港师范高等专科学校数学系,江苏,连云港,222006 |
| |
| 基金项目： | 江苏省高校自然科学基金 |
| |
| 摘 要： | 研究一类同时具离散时滞和分布时滞的BAM(bidirectional associative memory)神经网络平衡点的全局渐近稳定性问题.所给BAM模型对激活函数做了扇形非线性条件假设,利用M矩阵理论,通过构造新的LyapLlnov函数并利用一些分析技巧,获得具时滞离散和分布BAM神经网络的全局渐近稳定性的充分条件.数值例子说明了所得结果的有效性.
|
| 关 键 词： | BAM神经网络 离散时滞 分布时滞 全局渐近稳定性 Lyapunov-Krasovskii函数 |
Globally asymptotic stability of BAM networks with discrete and distributed delays |
| |
| DING Dan-jun.Globally asymptotic stability of BAM networks with discrete and distributed delays[J].Journal of Yangzhou University(Natural Science Edition),2009,12(4). |
| |
| Authors: | DING Dan-jun |
| |
| Abstract: | This paper is concerned with the globally asymptotic stability of BAM (bidirectional associative memory) networks both with the discrete and the distributed time-delays. For the model of BAM net-works, some hypothesis of sector nonlinear condition on activation functions are proposed. By employing the theory of M-matrix method, constructing a new Lyapunov-Krasovskii function and developing some stochastic analysis techniques, sufficient conditions are established for the BAM networks both with the discrete and the distributed time-delays to be globally asymptotically stable. A simple example is provided to demonstrate the effectiveness of the obtained sufficient condition. |
| |
| Keywords: | bidirectional associative memory neural networks discrete delay distributed delay globally asymptotic stability Lyapunov-Krasovskii function |
| 本文献已被 万方数据 等数据库收录！ |
