Synchronization of fractional-order complex dynamical networks via periodically intermittent pinning control

被引：59
作者：
Li, Hong-Li [1 ]
Hu, Cheng [1 ]
Jiang, Haijun [1 ]
Teng, Zhidong [1 ]
Jiang, Yao-Lin [1 ,2 ]
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
来源：
CHAOS SOLITONS & FRACTALS | 2017年 / 103卷
基金：
中国国家自然科学基金;
关键词：
Fractional-order; Complex networks; Synchronization; Pinning control; Intermittent control; CLUSTER SYNCHRONIZATION; EXPONENTIAL SYNCHRONIZATION; DIFFERENTIAL-EQUATIONS; STABILITY; DELAYS;
D O I：
10.1016/j.chaos.2017.06.025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper investigates the synchronization problem of general complex networks with fractional-order dynamical nodes. Pinning state feedback controllers have been proved to be effective for synchronization control of fractional-order complex networks. We will show that pinning intermittent controllers are also effective for synchronization control of general fractional-order complex networks. Based on the Lyapunov method and periodically intermittent control method, several low-dimensional criteria are derived for the synchronization of such dynamical networks. Finally, a numerical example is presented to demonstrate the validity and feasibility of the theoretical results. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：357 / 363
页数：7
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