Cluster synchronization for delayed Lur'e dynamical networks based on pinning control

被引：42
|
作者：
Wang, Ting [2 ]
Li, Tao [1 ]
Yang, Xin [1 ]
Fei, Shumin [2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Sch Automat Engn, Nanjing 210007, Peoples R China
[2] Southeast Univ, Minist Educ, Sch Automat, Key Lab Measurement & Control CSE, Nanjing 210096, Peoples R China
来源：
NEUROCOMPUTING | 2012年 / 83卷
基金：
高等学校博士学科点专项科研基金; 中国博士后科学基金; 中国国家自然科学基金;
关键词：
Delayed dynamical networks; Lyapunov-Krasovskii functional (LKF); Cluster synchronization; Reciprocal convex technique; Pinning control; MASTER-SLAVE SYNCHRONIZATION; PERIODICALLY INTERMITTENT CONTROL; COUPLED COMPLEX NETWORKS; TIME-VARYING DELAY; NEURAL-NETWORKS; EXPONENTIAL SYNCHRONIZATION; ROBUST SYNCHRONIZATION; FEEDBACK-CONTROL; CHAOTIC SYSTEMS; ARRAY;
D O I：
10.1016/j.neucom.2011.11.014
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the problem on cluster synchronization is investigated for continuous/discrete-time Lur'e type dynamical networks by using pinning control strategy. Through combining Jensen inequality with reciprocal convex technique, some sufficient conditions are derived to ensure the cluster synchronization for the addressed networks if the designed linear feedback controller is employed to every cluster. Moreover, the problems of the controller design can be converted into solving a series of linear matrix inequalities (LMIs), which can help reduce the computation complexity. Finally, three numerical examples are provided to demonstrate the effectiveness of the derived theoretical results. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：72 / 82
页数：11
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