高阶S-分布时滞细胞神经网络的全局鲁棒指数稳定性

华东师范大学学报(自然科学版) ›› 2011, Vol. 2011 ›› Issue (5): 12-20.

高阶S-分布时滞细胞神经网络的全局鲁棒指数稳定性

马成荣^1,2

1. 浙江工业职业技术学院, 浙江绍兴 312000; 2. 上海大学~~数学系, 上海 200444

收稿日期:2011-05-01 修回日期:2011-08-01 出版日期:2011-09-25 发布日期:2011-11-22

Global robust exponential stability of high-order cellular neural networks with S-type distributed delays

MA Cheng-rong ^1,2

1. Zhejiang Industry Polytechnic College, Shaoxing Zhejiang 312000, China; 2. Department of Mathematics, Shanghai University, Shanghai 200444, China

Received:2011-05-01 Revised:2011-08-01 Online:2011-09-25 Published:2011-11-22

摘要/Abstract

摘要： 利用分析技巧, 通过构造恰当的Lebesgue-Stieltjes积分型Lyapunov泛函, 得到系统全局鲁棒指数稳定的充分条件, 判断方法简单. 最后给出一个实例, 以说明本文主要结论的有效性.

关键词: 细胞神经网络, 高阶S-分布时滞, 平衡点, 全局鲁棒指数稳定

Abstract: By applying analysis techniques and constructing suitable Lyapunov functional with Lebesgue-Stieljes integration, some sufficient conditions on global exponential stability are obtained, which are easily verifiable. Finally, an example is given to illustrate the effectiveness of the main results derived.

Key words: cellular neural networks, high-order S-type distributed delays, equilibrium point, global robust exponential stability

中图分类号:

O175
O211

马成荣. 高阶S-分布时滞细胞神经网络的全局鲁棒指数稳定性[J]. 华东师范大学学报(自然科学版), 2011, 2011(5): 12-20.

MA Cheng-rong. Global robust exponential stability of high-order cellular neural networks with S-type distributed delays[J]. Journal of East China Normal University(Natural Sc, 2011, 2011(5): 12-20.

参考文献

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MA Cheng-rong. Global exponential stability of high generalized cellular neural networks with S-type distributed delays[J]．Journal of Biomathematics, 2011, 26(3).

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