Pinning Cluster Synchronization in Linear Hybrid Coupled Delayed Dynamical Networks

被引:1
作者
Bao, Anping [1 ]
Wang, Ting [2 ]
Fei, Shumin [1 ]
Tian, Xiaomin [1 ]
机构
[1] Southeast Univ, Minist Educ, Sch Automat, Key Lab Measurement & Control CSE, Nanjing 210096, Jiangsu, Peoples R China
[2] Nanjing Forestry Univ, Sch Informat Sci & Technol, Nanjing 210037, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
NEURAL-NETWORKS; EXPONENTIAL SYNCHRONIZATION; STABILITY ANALYSIS; SAMPLED-DATA; SYSTEMS;
D O I
10.1155/2016/6021497
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The problem on cluster synchronization will be investigated for a class of delayed dynamical networks based on pinning control strategy. Through utilizing the combined convex technique and Kronecker product, two sufficient conditions can be derived to ensure the desired synchronization when the designed feedback controller is employed to each cluster. Moreover, the inner coupling matrices are unnecessarily restricted to be diagonal and the controller design can be converted into solving a series of linear matrix inequalities (LMIs), which greatly improve the present methods. Finally, two numerical examples are provided to demonstrate the effectiveness and reduced conservatism.
引用
收藏
页数:14
相关论文
共 37 条
[1]  
[Anonymous], INFORM PROCESSING CO
[2]   Linear matrix inequality approach for synchronization control of fuzzy cellular neural networks with mixed time delays [J].
Balasubramaniam, P. ;
Kalpana, M. ;
Rakkiyappan, R. .
CHINESE PHYSICS B, 2012, 21 (04)
[3]   Exponential synchronization of complex delayed dynamical networks via pinning periodically intermittent control [J].
Cai, Shuiming ;
Hao, Junjun ;
He, Qinbin ;
Liu, Zengrong .
PHYSICS LETTERS A, 2011, 375 (19) :1965-1971
[4]   Cluster synchronization in an array of hybrid coupled neural networks with delay [J].
Cao, Jinde ;
Li, Lulu .
NEURAL NETWORKS, 2009, 22 (04) :335-342
[5]   SYNCHRONIZING CHAOTIC CIRCUITS [J].
CARROLL, TL ;
PECORA, LM .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (04) :453-456
[6]   Robust H∞ Synchronization Design of Nonlinear Coupled Network via Fuzzy Interpolation Method [J].
Chen, Bor-Sen ;
Chiang, Ching-Han ;
Nguang, Sing Kiong .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (02) :349-362
[7]   Impulsive Cluster Synchronization in Community Network with Nonidentical Nodes [J].
Deng Li-Ping ;
Wu Zhao-Yan .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 58 (04) :525-530
[8]   Stochastic synchronization for time-varying complex dynamical networks [J].
Guo Xiao-Yong ;
Li Jun-Min .
CHINESE PHYSICS B, 2012, 21 (02)
[9]   Exponential Synchronization of Hybrid Coupled Networks With Delayed Coupling [J].
He, Wangli ;
Cao, Jinde .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (04) :571-583
[10]   Synchronization of Chaotic Lur'e Systems With Time Delays Using Sampled-Data Control [J].
Hua, Changchun ;
Ge, Chao ;
Guan, Xinping .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2015, 26 (06) :1214-1221