On Stability of Multiple Equilibria for Delayed Neural Networks with Discontinuous Activation Functions

被引：0

作者：

Nie Xiaobing ^{[1
,2
]}

Zheng Wei Xing ^{[2
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

[2] Univ Western Sydney, Sch Comp Engn & Math, Penrith, NSW 2751, Australia

来源：

2015 34TH CHINESE CONTROL CONFERENCE (CCC) | 2015年

关键词：

Neural networks; multistability; discontinuous activation functions; time-varying delays; MULTISTABILITY; MULTIPERIODICITY; CONVERGENCE;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the stability problem of multiple equilibria for delayed neural networks with discontinuous activation functions. By virtue of the fixed point theorem, it is found that under some sufficient conditions, n neurons delayed neural networks with discontinuous non-monotonic activation functions can have at least 4(n) equilibrium points and 3(n) of them are locally stable. Furthermore, it is shown that the storage capacity of the neural networks can be considerably expanded by use of discontinuous activation functions, which is important in several neural network applications. Finally, the effectiveness of the theoretical findings is verified by a numerical example.

引用

页码：3542 / 3547

页数：6

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