Exponential synchronization of fractional-order complex networks via pinning impulsive control

被引：75
作者：
Wang, Fei [1 ]
Yang, Yongqing [2 ]
Hu, Aihua [2 ]
Xu, Xianyun [2 ]
机构：
[1] Jiangnan Univ, Key Lab Adv Proc Control Light Ind, Minist Educ, Wuxi, Peoples R China
[2] Jiangnan Univ, Sch Sci, Wuxi, Peoples R China
来源：
NONLINEAR DYNAMICS | 2015年 / 82卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Fractional-order; Complex networks; Exponential synchronization; Pinning control; Impulsive control; PROJECTIVE SYNCHRONIZATION; DYNAMICAL NETWORKS; SAMPLED-DATA; SYSTEMS;
D O I：
10.1007/s11071-015-2292-x
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, a pinning impulsive control scheme is adopted to investigate the synchronization of fractional complex dynamical networks. An effective method has been applied to select controlled nodes at each impulsive constants. Based on the Lyapunov function method and the connection between the exponential function and Mittag-Leffler function, sufficient conditions for achieving exponential synchronization of fractional complex networks have been derived. Finally, numerical simulations are exploited to verify the effectiveness of the theoretical results, and some discussions about synchronization region are given.
引用
收藏
页码：1979 / 1987
页数：9
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