Global synchronization of fractional complex networks with non-delayed and delayed couplings

被引:14
|
作者
Wu, Xiang [1 ]
Liu, Song [1 ]
Yang, Ran [1 ]
Zhang, Yan-Jie [1 ]
Li, Xiaoyan [1 ]
机构
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China
关键词
Fractional complex network; Global synchronization; Delay; Razumikhin theorem; ORDER NEURAL-NETWORKS; DYNAMICAL NETWORKS; ASYMPTOTICAL STABILITY; PROJECTIVE SYNCHRONIZATION; PINNING SYNCHRONIZATION; SYSTEMS;
D O I
10.1016/j.neucom.2018.02.026
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper deals with global synchronization of fractional complex networks with non-delayed and delayed couplings. Applying fractional Razumikhin theorem, a simple quadratic Lyapunov function is constructed and two linear matrix inequality (LMI) criteria on global synchronization are proposed. It is very convenient and efficient to check synchronization of the presented network models by using our proposed method. Finally, numerical simulations are given to show the efficiency of the obtained results. (c) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:43 / 49
页数:7
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