Pinning adaptive synchronization of complex dynamical network with multi-links

被引：24
作者：
Hu, Qiyang [1 ,2 ,3 ]
Peng, Haipeng [1 ,3 ]
Wang, Yunge [1 ,3 ]
Hu, Zhirui [4 ]
Yang, Yixian [1 ,2 ,3 ]
机构：
[1] Beijing Univ Posts & Telecommun, Informat Secur Ctr, Beijing 100876, Peoples R China
[2] Chinese Acad Sci, Res Ctr Fictitious Econ & Data Sci, Beijing 100190, Peoples R China
[3] Beijing Univ Posts & Telecommun, Natl Engn Lab Disaster Backup & Recovery, Beijing 100876, Peoples R China
[4] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China
来源：
NONLINEAR DYNAMICS | 2012年 / 69卷 / 04期
基金：
美国国家科学基金会; 中国国家自然科学基金;
关键词：
Complex network; Lyapunov stability theory; Adaptive synchronization; Pinning control; GENETIC REGULATORY NETWORKS; SPATIOTEMPORAL CHAOS; NEURAL-NETWORKS; MULTISTABILITY; STABILITY; SYSTEMS;
D O I：
10.1007/s11071-012-0388-0
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Networks with multi-links are universal in the real world such as communication networks, transport networks, and social networks. It is important for us to investigate the control of complex dynamical network with multi-links. In this paper, both local and global stabilities of dynamical network with multi-links are analyzed by applying adaptive control theory and mathematical tools, and some new criteria are proposed to ensure the pinning synchronization. We find that the number of pinned nodes satisfies an inequality for synchronization. Additionally, we solve the problem of how much the coupling strength we need to achieve network synchronization with one pinned node in the network system with multi-links. Finally, numerical examples are used to illustrate the effectiveness of the proposed method.
引用
收藏
页码：1813 / 1824
页数：12
相关论文
共 30 条
[1]   Reaching a consensus via pinning control [J].
Chen, Fei ;
Chen, Zengqiang ;
Xiang, Linying ;
Liu, Zhongxin ;
Yuan, Zhuzhi .
AUTOMATICA, 2009, 45 (05) :1215-1220
[2]   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
[3]   Pinning control of spatiotemporal chaos [J].
Grigoriev, RO ;
Cross, MC ;
Schuster, HG .
PHYSICAL REVIEW LETTERS, 1997, 79 (15) :2795-2798
[4]   Pinning synchronization of the complex networks with non-delayed and delayed coupling [J].
Guo, Wanli ;
Austin, Francis ;
Chen, Shihua ;
Sun, Wen .
PHYSICS LETTERS A, 2009, 373 (17) :1565-1572
[5]   Pinning synchronization of weighted complex networks with variable delays and adaptive coupling weights [J].
Hu, Cheng ;
Yu, Juan ;
Jiang, Haijun ;
Teng, Zhidong .
NONLINEAR DYNAMICS, 2012, 67 (02) :1373-1385
[6]   Synchronization of neutral complex dynamical networks with coupling time-varying delays [J].
Ji, D. H. ;
Lee, D. W. ;
Koo, J. H. ;
Won, S. C. ;
Lee, S. M. ;
Park, Ju H. .
NONLINEAR DYNAMICS, 2011, 65 (04) :349-358
[7]   Synchronization and control of coupled Ginzburg-Landau equations using local coupling [J].
Junge, L ;
Parlitz, U .
PHYSICAL REVIEW E, 2000, 61 (04) :3736-3742
[8]   Estimating the ultimate bound and positively invariant set for the Lorenz system and a unified chaotic system [J].
Li, Damei ;
Lu, Jun-an ;
Wu, Xiaoqun ;
Chen, Guanrong .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 323 (02) :844-853
[9]   New Passivity Analysis for Neural Networks with Discrete and Distributed Delays [J].
Li, Hongyi ;
Gao, Huijun ;
Shi, Peng .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (11) :1842-1847
[10]   Robust Stability for Uncertain Delayed Fuzzy Hopfield Neural Networks With Markovian Jumping Parameters [J].
Li, Hongyi ;
Chen, Bing ;
Zhou, Qi ;
Qian, Weiyi .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2009, 39 (01) :94-102
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