Exponential synchronization of memristive Cohen-Grossberg neural networks with mixed delays

被引:162
|
作者
Yang, Xinsong [1 ]
Cao, Jinde [2 ,3 ,4 ]
Yu, Wenwu [2 ,3 ,5 ]
机构
[1] Chongqing Normal Univ, Dept Math, Chongqing 401331, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China
[4] King Abdulaziz Univ, Dept Math, Fac Sci, Jidda 21589, Saudi Arabia
[5] RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia
基金
中国国家自然科学基金;
关键词
Exponential synchronization; Memristor; Cohen-Grossberg neural networks; Unbounded distributed delay; Control; TIME-VARYING DELAYS; ADAPTIVE SYNCHRONIZATION; UNKNOWN-PARAMETERS; STABILITY ANALYSIS; MULTISTABILITY; PERTURBATIONS; ELEMENT;
D O I
10.1007/s11571-013-9277-6
中图分类号
Q189 [神经科学];
学科分类号
071006 ;
摘要
This paper concerns the problem of global exponential synchronization for a class of memristor-based Cohen-Grossberg neural networks with time-varying discrete delays and unbounded distributed delays. The drive-response set is discussed. A novel controller is designed such that the response (slave) system can be controlled to synchronize with the drive (master) system. Through a nonlinear transformation, we get an alternative system from the considered memristor-based Cohen-Grossberg neural networks. By investigating the global exponential synchronization of the alternative system, we obtain the corresponding synchronization criteria of the considered memristor-based Cohen-Grossberg neural networks. Moreover, the conditions established in this paper are easy to be verified and improve the conditions derived in most of existing papers concerning stability and synchronization for memristor-based neural networks. Numerical simulations are given to show the effectiveness of the theoretical results.
引用
收藏
页码:239 / 249
页数:11
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