Pinning impulsive synchronization of complex-variable dynamical network

被引：59

作者：

Wu, Zhaoyan ^{[1
]}

Liu, Danfeng ^{[1
]}

Ye, Qingling ^{[1
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 20卷 / 01期

关键词：

Synchronization; Dynamical network; Complex variable; Pinning impulsive control; TIME-VARYING DELAYS; INTERMITTENT CONTROL; LORENTZ EQUATIONS; NONLINEAR-SYSTEMS; CONTROLLER;

D O I：

10.1016/j.cnsns.2014.05.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, pinning combining with impulsive control scheme is adopted to investigate the synchronization of complex-variable dynamical network. Based on the Lyapunov function method and mathematical analysis technique, sufficient conditions for achieving synchronization is first analytically derived. This result extends the condition derived for real-variable dynamical network to complex-variable network. Further, adaptive strategy is adopted to relax the restrictions on the impulsive intervals and reduce the control cost. Noticeably, the proposed adaptive pinning impulsive control scheme is universal for different dynamical networks to some extent. The impulsive instants are chosen by solving a series of maximum problems subject to the derived conditions. Several numerical simulations are performed to illustrate the effectiveness and correctness of the derived theoretical results. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：273 / 280

页数：8

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