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Qintao Gan, Tielin Liu, Chang Liu, Tianshi Lv               
Synchronization for a class of generalized neural networks with interval time-varying delays and reaction-diffusion terms               
2016,Vol. 21, No. 3,pp. 379–399
doi:10.15388/NA.2016.3.6 @Monash2011
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ganqintao: 金币+10, ★★★★★最佳答案 2016-06-15 22:17:47
Synchronization for a class of generalized neural networks with interval time-varying delays and reaction-diffusion terms
作者:Gan, QT (Gan, Qintao)[ 1 ] ; Liu, TL (Liu, Tielin)[ 2 ] ; Liu, C (Liu, Chang)[ 1 ] ; Lv, TS (Lv, Tianshi)[ 1 ]
NONLINEAR ANALYSIS-MODELLING AND CONTROL
卷: 21  期: 3  页: 379-399
出版年: 2016
查看期刊信息
摘要
In this paper, the synchronization problem for a class of generalized neural networks with interval time-varying delays and reaction-diffusion terms is investigated under Dirichlet boundary conditions and Neumann boundary conditions, respectively. Based on Lyapunov stability theory, both delay-derivative-dependent and delay-range-dependent conditions are derived in terms of linear matrix inequalities (LMIs), whose solvability heavily depends on the information of reaction-diffusion terms. The proposed generalized neural networks model includes reaction-diffusion local field neural networks and reaction-diffusion static neural networks as its special cases. The obtained synchronization results are easy to check and improve upon the existing ones. In our results, the assumptions for the differentiability and monotonicity on the activation functions are removed. It is assumed that the state delay belongs to a given interval, which means that the lower bound of delay is not restricted to be zero. Finally, the feasibility and effectiveness of the proposed methods is shown by simulation examples.
关键词
作者关键词:synchronization; local field neural networks; static neural networks; reaction-diffusion; interval time-varying delays
KeyWords Plus:STABILITY ANALYSIS
作者信息
通讯作者地址: Gan, QT (通讯作者)
              Shijiazhuang Mech Engn Coll, Dept Basic Sci, Shijiazhuang 050003, Peoples R China.
地址:
              [ 1 ] Shijiazhuang Mech Engn Coll, Dept Basic Sci, Shijiazhuang 050003, Peoples R China
              [ 2 ] Shijiazhuang Mech Engn Coll, Dept Equipment Command & Management, Shijiazhuang 050003, Peoples R China
电子邮件地址:ganqintao@sina.com
基金资助致谢
基金资助机构        授权号
National Natural Science Foundation of China        
61305076
11371368
11071254
查看基金资助信息   
出版商
INST MATHEMATICS & INFORMATICS, AKADEMIJOS STR 4, VILNIUS LT-08663, LITHUANIA
类别 / 分类
研究方向:Mathematics; Mechanics
Web of Science 类别:Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics
文献信息
文献类型:Article
语种:English
入藏号: WOS:000375346700006
ISSN: 1392-5113
期刊信息
Impact Factor (影响因子): Journal Citation Reports®
其他信息
IDS 号: DL0TY
Web of Science 核心合集中的 "引用的参考文献": 19
Web of Science 核心合集中的 "被引频次": 0
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