Finite-time synchronization of delayed dynamical networks via aperiodically intermittent control

被引：90

作者：

Liu, Mei ^{[1
,2
]}

Jiang, Haijun ^{[1
]}

Hu, Cheng ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 13期

关键词：

NEURAL-NETWORKS; CHAOS SYNCHRONIZATION; SYSTEMS;

D O I：

10.1016/j.jfranklin.2017.05.030

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we concern the finite-time synchronization problem for delayed dynamical networks via aperiodically intermittent control. Compared with some correspondingly previous results, the intermittent control can be aperiodic which is more general. Moreover, by establishing a new differential inequality and constructing Lyapunov function, several useful criteria are derived analytically to realize finite-time synchronization for delay complex networks. Additionally, as a special case, some sufficient conditions ensuring the finite-time synchronization for a class of coupled neural network are obtained. It is worth noting that the convergence time is carefully discussed and does not depend on control widths or rest widths for the proposed aperiodically intermittent control. Finally, a numerical example is given to demonstrate the validness of the proposed scheme. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：5374 / 5397

页数：24

共 30 条

[1] Function projective synchronization of impulsive neural networks with mixed time-varying delays [J].

Abdurahman, Abdujelil ;

Jiang, Haijun ;

Teng, Zhidong .

NONLINEAR DYNAMICS, 2014, 78 (04) :2627-2638

[2]

[Anonymous], ABSTR APPL AN

[3] Complex networks: Structure and dynamics [J].

Boccaletti, S. ;

Latora, V. ;

Moreno, Y. ;

Chavez, M. ;

Hwang, D. -U. .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 424 (4-5) :175-308

[4] Pinning complex networks by a single controller [J].

Chen, Tianping ;

Liu, Xiwei ;

Lu, Wenlian .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2007, 54 (06) :1317-1326

[5] Emergent behavior in flocks [J].

Cucker, Felipe ;

Smale, Steve .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (05) :852-862

[6] Chaos synchronization by using intermittent parametric adaptive control method [J].

Dai, D ;

Ma, XK .

PHYSICS LETTERS A, 2001, 288 (01) :23-28

[7]

Ditto W, 2002, NATURE, V415, P736, DOI 10.1038/415736b

[8] Cluster synchronisation of non-linearly coupled Lur'e networks with identical and non-identical nodes and an asymmetrical coupling matrix [J].

Feng, Jianwen ;

Tang, Ze ;

Zhao, Yi ;

Xu, Chen .

IET CONTROL THEORY AND APPLICATIONS, 2013, 7 (18) :2117-2127

[9] Exponential stabilization and synchronization of neural networks with time-varying delays via periodically intermittent control [J].

Hu, Cheng ;

Yu, Juan ;

Jiang, Haijun ;

Teng, Zhidong .

NONLINEARITY, 2010, 23 (10) :2369-2391

[10] Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control [J].

Hu, Cheng ;

Yu, Juan ;

Jiang, Haijun ;

Teng, Zhidong .

CHAOS, 2010, 20 (02)

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