Periodic oscillation for BAM neural networks with impulses

被引：9

作者：

Zhao Y. ^{[1
]}

Xia Y. ^{[2
]}

Ding W. ^{[1
]}

机构：

[1] Institute of Mathematics, Shanghai Normal University

[2] College of Mathematics and Computer Science, Fuzhou University

来源：

Journal of Applied Mathematics and Computing | 2008年 / 28卷 / 1-2期

关键词：

BAM neural networks; Global exponential stability; Impulsive; Periodic solution; Spectral theory;

D O I：

10.1007/s12190-008-0114-8

中图分类号：

学科分类号：

摘要：

In this paper, a class of neural networks called bidirectional associative memory (BAM) networks with impulses is discussed. Some sufficient conditions are established for the existence and global exponential stability of a unique periodic solution and the exponentially convergent rate is estimated. The sufficient conditions are easy to be verified and when the impulsive jumps are absent, the results reduce to those of the non-impulsive systems. The approaches are based on employing inequality analysis, matrix theory and its spectral theory. © 2008 Korean Society for Computational and Applied Mathematics.

引用

页码：405 / 423

页数：18

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