Periodically intermittent controlling for finite-time synchronization of complex dynamical networks

被引：71
|
作者：
Mei, Jun [1 ,2 ]
Jiang, Minghui [2 ]
Wu, Zhou [1 ]
Wang, Xiaohong [3 ]
机构：
[1] Univ Pretoria, Dept Elect & Comp Engn, Ctr New Energy Syst, ZA-0002 Pretoria, South Africa
[2] China Three Gorges Univ, Coll Sci, Yichang 443002, Hubei, Peoples R China
[3] Henan Univ Sci & Technol, Coll Informat Engn, Luoyang 471023, Peoples R China
来源：
NONLINEAR DYNAMICS | 2015年 / 79卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Complex dynamical networks; Finite-time synchronization; Periodically intermittent control; Lyapunov-Krasovskii functional; DRIVE-RESPONSE SYSTEMS; ADAPTIVE SYNCHRONIZATION; EXPONENTIAL SYNCHRONIZATION; NONLINEAR-SYSTEMS; CHAOTIC SYSTEMS; IDENTIFICATION; STABILIZATION; DELAYS;
D O I：
10.1007/s11071-014-1664-y
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, we consider finite-time synchronization between two complex dynamical networks using periodically intermittent control. Based on finite-time stability theory, some novel and effective finite-time synchronization criteria are derived by applying stability analysis technique. The derivative of the Lyapunov function V(t) is smaller than beta V(t) (beta is an arbitrary positive constant) when no controllers are added into networks. This means that networks can be self-synchronized without control inputs. As a result, the application scope of synchronization is greatly enlarged. Finally, a numerical example is given to verify the effectiveness and correctness of the synchronization criteria.
引用
收藏
页码：295 / 305
页数：11
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