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文章题目 LMI-Based Stability Criterion for Impulsive CGNNs via Fixed Point Theory
作者 Xiongrui Wang, Ruofeng Rao, Shouming Zhong
期刊 Mathematical Problems in Engineering
年 2015
期卷 页码 Volume 2015, Article ID 281681, 10 pages
全文链接 https://dx.doi.org/10.1155/2015/281681

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LMI-Based Stability Criterion for Impulsive CGNNs via Fixed Point Theory
作者:Wang, XR (Wang, Xiongrui)[ 1,2 ] ; Rao, RF (Rao, Ruofeng)[ 2 ] ; Zhong, SM (Zhong, Shouming)[ 3 ]
MATHEMATICAL PROBLEMS IN ENGINEERING
文献号: 281681
DOI: 10.1155/2015/281681
出版年: 2015
查看期刊信息
摘要
Linear matrices inequalities (LMIs) method and the contraction mapping theorem were employed to prove the existence of globally exponentially stable trivial solution for impulsive Cohen-Grossberg neural networks (CGNNs). It is worth mentioning that it is the first time to use the contraction mapping theorem to prove the stability for CGNNs while only the Leray-Schauder fixed point theorem was applied in previous related literature. An example is given to illustrate the effectiveness of the proposed methods due to the large allowable variation range of impulse.
关键词
KeyWords Plus:GROSSBERG NEURAL-NETWORKS; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; DIFFERENTIAL-EQUATIONS
作者信息
通讯作者地址: Rao, RF (通讯作者)
              Chengdu Normal Univ, Dept Math, Chengdu 611130, Peoples R China.
地址:
              [ 1 ] Yibin Univ, Dept Math, Yibin 644007, Peoples R China
              [ 2 ] Chengdu Normal Univ, Dept Math, Chengdu 611130, Peoples R China
显示增强组织信息的名称        [ 3 ] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China
电子邮件地址:ruofengrao@163.com
基金资助致谢
基金资助机构        授权号
Scientific Research Fund of Science Technology Department of Sichuan Province        
2012JY010
Sichuan Educational Committee Science Foundation        
08ZB002
12ZB349
14ZA0274
查看基金资助信息   
出版商
HINDAWI PUBLISHING CORP, 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA
类别 / 分类
研究方向:Engineering; Mathematics
Web of Science 类别:Engineering, Multidisciplinary; Mathematics, Interdisciplinary Applications
文献信息
文献类型:Article
语种:English
入藏号: WOS:000365524400001
ISSN: 1024-123X
eISSN: 1563-5147
期刊信息
Impact Factor (影响因子): Journal Citation Reports®
其他信息
IDS 号: CX2KA
Web of Science 核心合集中的 "引用的参考文献": 21
Web of Science 核心合集中的 "被引频次": 0
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入藏号: WOS:000365524400001
非淡泊无以明志,非宁静无以致远
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