Open AccessSuccessive lag synchronization on dynamical networks with non-uniform communication delays
Author(s) -
Di Zhang,
Yinxing Zhang,
Xiao-Fen Qiu,
Zhu Guang-Hu,
Kezan Li
Publication year - 2018
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.67.20171630
Subject(s) - synchronization (alternating current) , computer science , correctness , lag , control theory (sociology) , synchronization networks , nonlinear system , lyapunov function , telecommunications network , topology (electrical circuits) , dynamical systems theory , control (management) , mathematics , algorithm , telecommunications , physics , computer network , channel (broadcasting) , quantum mechanics , artificial intelligence , combinatorics
In dynamical networks, usually there are time delays among nodes during their communication. Different pairs of nodes generally have different time delays (i.e., having non-uniform communication delays). It has more practical significance to study the successive lag synchronization on dynamical networks with non-uniform communication delays. So, in this paper we construct a dynamical network model with non-uniform communication delay. Then, by designing linear feedback control and adaptive feedback control, and by using the Lyapunov function method, we obtain sufficient conditions for guaranteeing the stability of successive lag synchronization. Finally, in the numerical simulation, we choose the Chua's circuit as the local nonlinear dynamic and two kinds of topological structures for dynamical network to verify the effectiveness and correctness of obtained results.