Global synchronization in arrays of coupled Lurie systems with both time-delay and hybrid coupling

被引：15
作者：
Li, Tao [1 ]
Song, Aiguo [1 ]
Fei, Shumin [2 ]
Wang, Ting [2 ]
机构：
[1] Southeast Univ, Sch Instrument Sci & Engn, Nanjing 210096, Peoples R China
[2] Southeast Univ, Sch Automat, Minist Educ, Key Lab Measurement & Control CSE, Nanjing 210096, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 01期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Lurie systems; Delay-dependent synchronization criterion; Time-varying delay; Hybrid coupling; LMI approach; MASTER-SLAVE SYNCHRONIZATION; SLOPE RESTRICTED NONLINEARITIES; DEPENDENT STABILITY-CRITERIA; NEURAL-NETWORKS; ROBUST SYNCHRONIZATION; COMPLEX NETWORKS; FEEDBACK-CONTROL; CHAOTIC SYSTEMS; VARYING DELAY; CIRCUITS;
D O I：
10.1016/j.cnsns.2010.04.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose and study an array of coupled delayed Lurie systems with hybrid coupling, which is composed of constant coupling, state delay coupling, and distributed delay coupling. Together with Lyapunov-Krasovskii functional method and Kronecker product properties, two novel synchronization criteria are presented within linear matrix inequalities based on generalized convex combination, in which these conditions are heavily dependent on the upper and lower bounds of state delay and distributed one. Through adjusting inner coupling matrix parameters in the derived results, we can realize the designing and applications of the addressed systems by referring to Matlab LMI Toolbox. The efficiency and applicability of the proposed criteria can be demonstrated by three numerical examples with simulations. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：10 / 20
页数：11
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