Delayed impulsive synchronization of discrete-time complex networks with distributed delays

被引：16
作者：
Li, Zhen [1 ]
Fang, Jian-an [1 ]
Zhang, Wenbing [2 ]
Wang, Xin [1 ,3 ]
机构：
[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[2] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China
[3] Zhejiang Text & Fash Coll, Sch Informat Engn, Ningbo 315211, Zhejiang, Peoples R China
来源：
NONLINEAR DYNAMICS | 2015年 / 82卷 / 04期
关键词：
Exponential synchronization; Discrete-time complex networks; Delayed impulsive control; Distributed delays; Razumikhin theorem; DYNAMICAL NETWORKS; EXPONENTIAL SYNCHRONIZATION; STABILITY; SYSTEMS;
D O I：
10.1007/s11071-015-2301-0
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, a novel delayed impulsive control strategy is proposed for synchronization of discrete-time complex networks with distributed delays. Different from the existing results, the involving time delays include distributed delays and impulsive input delays. Employing the Razumikhin theorem and the mathematical induction method, several sufficient criteria are derived in terms of algebraic conditions, which depend on impulsive input delays and impulsive control gains. Meanwhile, the derived criteria also reveal the relationship between the bounds of impulsive intervals and impulsive input delays. Finally, two examples are given to illustrate the effectiveness of the proposed approach.
引用
收藏
页码：2081 / 2096
页数：16
相关论文
共 45 条
[1]  
[Anonymous], 2001, MARTIX ANAL
[2]  
[Anonymous], 1995, DISCRETE TIME CONTRO
[3]   Synchronization in complex networks [J].
Arenas, Alex ;
Diaz-Guilera, Albert ;
Kurths, Jurgen ;
Moreno, Yamir ;
Zhou, Changsong .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2008, 469 (03) :93-153
[4]   Delayed Impulsive Control of Takagi-Sugeno Fuzzy Delay Systems [J].
Chen, Wu-Hua ;
Wei, Dan ;
Zheng, Wei Xing .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2013, 21 (03) :516-526
[5]   Exponential stability of nonlinear time-delay systems with delayed impulse effects [J].
Chen, Wu-Hua ;
Zheng, Wei Xing .
AUTOMATICA, 2011, 47 (05) :1075-1083
[6]   Exponential stability analysis of impulsive stochastic functional differential systems with delayed impulses [J].
Cheng, Pei ;
Deng, Feiqi ;
Yao, Fengqi .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (06) :2104-2114
[7]   SHORT PROOF OF A DISCRETE GRONWALL INEQUALITY [J].
CLARK, DS .
DISCRETE APPLIED MATHEMATICS, 1987, 16 (03) :279-281
[8]   Output Feedback Control of a Quadrotor UAV Using Neural Networks [J].
Dierks, Travis ;
Jagannathan, Sarangapani .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (01) :50-66
[9]   STABILITY IN ASYMMETRIC HOPFIELD NETS WITH TRANSMISSION DELAYS [J].
GOPALSAMY, K ;
HE, XZ .
PHYSICA D-NONLINEAR PHENOMENA, 1994, 76 (04) :344-358
[10]  
Gradshteyn S., 2014, Table of Integrals, Series, and Products, V8th
12345