Exponential synchronization of the coupling delayed switching complex dynamical networks via impulsive control

被引:10
作者
Dai, Anding [1 ]
Zhou, Wuneng [1 ]
Feng, Jianwen [2 ]
Fang, Jian'an [1 ]
Xu, Shengbing [3 ]
机构
[1] Donghua Univ, Coll Comp Sci & Technol, Shanghai 201620, Peoples R China
[2] Shenzhen Univ, Coll Math & Computat Sci, Shenzhen 518060, Peoples R China
[3] Dong Guan Univ Technol, City Coll, Dongguan 523000, Peoples R China
基金
中国国家自然科学基金;
关键词
exponential synchronization; complex dynamical network; switching topology; delayed coupling; GLOBAL SYNCHRONIZATION; SYSTEMS; CRITERIA;
D O I
10.1186/1687-1847-2013-195
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the exponential synchronization issue of coupling delayed switching complex dynamical networks via impulsive control. Basing on the Lyapunov functional method and establishing a new impulsive delay differential inequality, we derive some sufficient conditions which depend on delay and impulses to guarantee the exponential synchronization of the coupling delay switching complex dynamical network. Finally, numerical simulations are given to illustrate the effectiveness of the obtained results.
引用
收藏
页数:17
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共 30 条
[1]   Synchronization in complex networks [J].
Arenas, Alex ;
Diaz-Guilera, Albert ;
Kurths, Jurgen ;
Moreno, Yamir ;
Zhou, Changsong .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 469 (03) :93-153
[2]   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
[3]   Robust impulsive synchronization of complex delayed dynamical networks [J].
Cai, Shuiming ;
Zhou, Jin ;
Xiang, Lan ;
Liu, Zengrong .
PHYSICS LETTERS A, 2008, 372 (30) :4990-4995
[4]   Leader Following of Nonlinear Agents With Switching Connective Network and Coupling Delay [J].
Jia, Qiang ;
Tang, Wallace K. S. ;
Halang, Wolfgang A. .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (10) :2508-2519
[5]   Impulsive consensus in directed networks of identical nonlinear oscillators with switching topologies [J].
Jiang, Haibo ;
Bi, Qinsheng ;
Zheng, Song .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (01) :378-387
[6]   Synchronization in general complex dynamical networks with coupling delays [J].
Li, CG ;
Chen, GR .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 343 :263-278
[7]   Adaptive-impulsive synchronization of uncertain complex dynamical networks [J].
Li, K. ;
Lai, C. H. .
PHYSICS LETTERS A, 2008, 372 (10) :1601-1606
[8]   Global synchronization and asymptotic stability of complex dynamical networks [J].
Li, Z ;
Chen, GR .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (01) :28-33
[9]   Exponential Synchronization of Complex Delayed Dynamical Networks With Switching Topology [J].
Liu, Tao ;
Zhao, Jun ;
Hill, David J. .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2010, 57 (11) :2967-2980
[10]   Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling [J].
Liu, Xiwei ;
Chen, Tianping .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 381 (82-92) :82-92