|本期目录/Table of Contents|

[1]王玲娜,张丽俊. 一类时延并联限制细胞神经网络的周期解[J].浙江理工大学学报,2011,28(01):126-130.
　WANG Ling na,ZHANG Li jun. Periodic Solution of a Type of Shunting Inhibitory CNNs with Delays[J].Journal of Zhejiang Sci-Tech University,2011,28(01):126-130.
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 一类时延并联限制细胞神经网络的周期解()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第28卷
期数:
2011年01期
页码:
126-130
栏目:
(自科)生物与生命科学
出版日期:
2011-02-28

文章信息/Info

Title:
 Periodic Solution of a Type of Shunting Inhibitory CNNs with Delays
文章编号:
16733851 (2011) 01012605
作者:
 王玲娜1;  张丽俊2
 1. 浙江师范大学数理与信息工程学院， 浙江金华 321004； 2. 浙江理工大学理学院， 杭州 310018
Author(s):
 WANG Lingna1;  ZHANG Lijun2
 1. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China; 2. School of Sciences, Zhejiang SciTech University, Hangzhou 310018, China
关键词:
 ; 并联限制神经网络;  周期解;  指数稳定性;  压缩映射原理;  Lyapunov泛函
分类号:
O175; TN711
文献标志码:
A
摘要:
    研究一类时延并联限制细胞神经网络的周期解。利用压缩映射原理和构造Lyapunov泛函的方法，给出判定此系统周期解的存在唯一性及指数稳定性的条件，并给出了一个例子说明条件是可行的。这些条件可用于设计周期稳定的时延并联限制细胞神经网络，也很容易用简单的代数方法进行验证，这对此类细胞神经网络的设计和应用起到了重要作用。

参考文献/References:

 ［1］ Cao J, Song Q. Stability in CohenGrossberg type BAM neural networks with timevarying delays［J］. Nonlinearity, 2006, 19(7): 16011617.
［2］ Gilli M. Stability of cellular neural networks and delayed neutral networks with nonpositive templates and nonmonototic output functions［J］. IEEE Trans Circuits Syst: I, 1994, 41: 518528.
［3］ Cao J, Wang J. Global exponential stability and periodicity of recurrent neural networks with time delays［J］. IEEE Trans Circuits Syst: I, 2005, 52(5): 920931.
［4］ Cao J, Feng G, Wang Y. Multistability and multiperiodicity of delayed CohenGrossberg neural networks with a general class of activation functions［J］. Physica D, 2008, 237(13): 17341749.
［5］ Bouzerdoum A, Pinter R B. Shunting inhibitory cellular neural networks: derivation and stability analysis［J］. IEEE Trans Circuits Syst: I Fundamental Theory and Appl., 2008, 40(33): 215221.
［6］ Chen A, Cao J. Almost periodic solution of shunting inhibitory CNNs with delays［J］. Physics Letters A, 2002, 298: 161170.
［7］ Wang L, Lin Y. Global exponential stability for shunting inhibitory CNNs with delays［J］. Applied Mathematics and Computation, 2009, 214: 297303.

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备注/Memo

备注/Memo:
 收稿日期： 2010-06-22
基金项目： 国家自然科学基金项目(10871181，10802043)；浙江理工大学科研基金(0813820Y)；浙江师范大学校级青年基金资助项目（KYJ06Y09107）
作者简介： 王玲娜（1978-），女，河北沧州人，讲师，硕士，主要从事微分方程与动力系统的研究。
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