Multi-quasi-synchronization of coupled fractional-order neural networks with delays via pinning impulsive control

被引：11
作者：
Ruan, Xiaoli [1 ]
Wu, Ailong [1 ,2 ,3 ]
机构：
[1] Hubei Normal Univ, Coll Math & Stat, Huangshi 435002, Peoples R China
[2] Xi An Jiao Tong Univ, Inst Informat & Syst Sci, Xian 710049, Shaanxi, Peoples R China
[3] Huazhong Univ Sci, Sch Automat, Wuhan 430074, Hubei, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
关键词：
multi-quasi-synchronization; fractional-order neural networks; comparison principle; pinning impulsive control; HYBRID PROJECTIVE SYNCHRONIZATION; COMPLEX DYNAMICAL NETWORKS; DIFFERENTIAL-EQUATIONS; TIME DELAYS; SYSTEMS; STABILITY;
D O I：
10.1186/s13662-017-1417-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the collective dynamics of multi-quasi-synchronization of coupled fractional-order neural networks with delays. Using the pinning impulsive strategy, we design a novel controller to pin the coupled networks to realize the multi-quasi-synchronization. Based on the comparison principle and mathematical analysis, we derive some novel criteria of the multi-quasi-synchronization. Moreover, we discuss the effects of coupling strength and pinning control matrix. Finally, some simulation examples show the effectiveness of the presented results.
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页数：19
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