Pinning adaptive and impulsive synchronization of fractional-order complex dynamical networks

被引：52
|
作者：
Li, Hong-Li [1 ]
Hu, Cheng [1 ]
Jiang, Yao-Lin [1 ,2 ]
Wang, Zuolei [3 ]
Teng, Zhidong [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Xi An Jiao Tong Univ, Dept Math, Xian 710049, Peoples R China
[3] Yancheng Teachers Univ, Sch Math Sci, Yancheng 224002, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2016年 / 92卷
基金：
中国国家自然科学基金;
关键词：
Pinning adaptive and impulsive control; Synchronization; Fractional-order; Complex networks; Barbalat's Lemma; NEURAL-NETWORKS; PROJECTIVE SYNCHRONIZATION; CLUSTER SYNCHRONIZATION; STABILITY;
D O I：
10.1016/j.chaos.2016.09.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the pinning adaptive and impulsive synchronization problem of fractional order complex dynamical networks. First, a generalized Barbalat's Lemma is derived. Based on the generalized Barbalat's Lemma and some analysis techniques, we obtain some criteria, which guarantee that the whole state-coupled dynamical network can be forced to certain desired synchronous state by combining pinning adaptive control and pinning impulsive control. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed control strategy. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：142 / 149
页数：8
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