Synchronization of complex networks with non-delayed and delayed couplings via adaptive feedback and impulsive pinning control

被引:29
作者
Wang, Xin [1 ]
She, Kun [1 ]
Zhong, Shouming [2 ]
Cheng, Jun [3 ]
机构
[1] Univ Elect Sci & Technol China, Sch Informat & Software Engn, Chengdu 611731, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
[3] Hubei Univ Nationalities, Sch Sci, Enshi 445000, Hubei, Peoples R China
基金
中国国家自然科学基金;
关键词
Synchronization; Dynamical networks; Non-delayed and delayed couplings; Impulsive pinning control; H-INFINITY CONTROL; DYNAMICAL NETWORKS; EXPONENTIAL SYNCHRONIZATION; LAG SYNCHRONIZATION; SYSTEMS; STABILITY;
D O I
10.1007/s11071-016-2879-x
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this paper, synchronization between two general complex delayed dynamical networks via adaptive feedback and impulsive pinning control is investigated. Based on the Lyapunov stability theory and mathematical analysis method, some novel synchronization criteria are derived, and an adaptive feedback and impulsive pinning control strategy is proposed simultaneously. These results remove some restrictions on coupling matrices, node dynamics, the number of pinned nodes and the impulsive gain. Further, we take the variable control into account in the impulsive pinning control scheme. Finally, some numerical simulations are performed to illustrate the effectiveness and correctness of the derived theoretical results.
引用
收藏
页码:165 / 176
页数:12
相关论文
共 47 条
[1]   Emergence of scaling in random networks [J].
Barabási, AL ;
Albert, R .
SCIENCE, 1999, 286 (5439) :509-512
[2]   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
[3]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[4]   Adaptive impulsive synchronization of nonlinear chaotic systems [J].
Chen, Yen-Sheng ;
Chang, Chien-Cheng .
NONLINEAR DYNAMICS, 2012, 70 (03) :1795-1803
[5]  
Chua L. O., 1993, Journal of Circuits, Systems and Computers, V3, P93, DOI 10.1142/S0218126693000071
[6]   Stability of interconnected impulsive systems with and without time delays, using Lyapunov methods [J].
Dashkovskiy, Sergey ;
Kosmykov, Michael ;
Mironchenko, Andrii ;
Naujok, Lars .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2012, 6 (03) :899-915
[7]   Novel decentralized adaptive strategies for the synchronization of complex networks [J].
DeLellis, Pietro ;
diBernardo, Mario ;
Garofalo, Francesco .
AUTOMATICA, 2009, 45 (05) :1312-1318
[8]   Pinning synchronization of complex network with non-derivative and derivative coupling [J].
Deng, Liping ;
Wu, Zhaoyan ;
Wu, Qingchu .
NONLINEAR DYNAMICS, 2013, 73 (1-2) :775-782
[9]   Synchronization of Complex Dynamical Networks With Time-Varying Delays Via Impulsive Distributed Control [J].
Guan, Zhi-Hong ;
Liu, Zhi-Wei ;
Feng, Gang ;
Wang, Yan-Wu .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2010, 57 (08) :2182-2195
[10]   A new synchronization algorithm for delayed complex dynamical networks via adaptive control approach [J].
Guo, Xiaoyong ;
Li, Junmin .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (11) :4395-4403