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【答案】应助回帖
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感谢参与，应助指数 +1
zqianhong: 金币+5, ★★★很有帮助 2021-06-23 09:31:47
sunshan4379: LS-EPI+1, 感谢应助! 2021-06-24 10:32:53
Global asymptotic stability of cellular neural networks with proportional delays
作者:Zhou, LQ (Zhou, Liqun)
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NONLINEAR DYNAMICS
卷: 77 期: 1-2 页: 41-47
DOI: 10.1007/s11071-014-1271-y
出版年: JUL 2014
文献类型:Article
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摘要
Proportional delay, which is different from distributed delay, is a kind of unbounded delay. The proportional delay system as an important mathematical model often rises in some fields such as physics, biology systems, and control theory. In this paper, the uniqueness and the global asymptotic stability of equilibrium point of cellular neural networks with proportional delays are analyzed. By using matrix theory and constructing suitable Lyapunov functional, delay-dependent and delay-independent sufficient conditions are obtained for the global asymptotic stability of cellular neural networks with proportional delays. These results extend previous works on these issues for the delayed cellular neural networks. Two numerical examples and their simulation are given to illustrate the effectiveness of obtained results.
关键词
作者关键词:Cellular neural networks (CNNs); Proportional delay; Global asymptotic stability (GAS); Lyapunov functional; Linear matrix inequality (LMI)
KeyWords Plus:UNBOUNDED DISTRIBUTED DELAYS; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; DIFFERENTIATED SERVICES; VARIABLE-COEFFICIENTS
作者信息
通讯作者地址:
Tianjin Normal University Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China.
通讯作者地址: Zhou, LQ (通讯作者)
显示更多 Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China.
地址:
显示更多 [ 1 ] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China
电子邮件地址:zhouliqun20000@163.com
基金资助致谢
基金资助机构显示详情 授权号
National Natural Science Foundation of China (NSFC)
61374009
Tianjin Municipal Education commission
20100813
Foundation for Doctors of Tianjin Normal University
52LX34
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出版商
SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS
期刊信息
目录： Current Contents Connect
Impact Factor (影响因子): Journal Citation Reports
类别 / 分类
研究方向:Engineering; Mechanics
Web of Science 类别:Engineering, Mechanical; Mechanics
文献信息
语言:English
入藏号: WOS:000337050800004
ISSN: 0924-090X
eISSN: 1573-269X
其他信息
IDS 号: AI7FS
Web of Science 核心合集中的 "引用的参考文献": 31
Web of Science 核心合集中的 "被引频次": 54 |
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