关键词: 接连滞后同步/
线性反馈控制/
自适应控制/
非一致通信时滞
English Abstract
Successive lag synchronization on dynamical networks with non-uniform communication delays
Zhang Di,Zhang Yin-Xing,
Qiu Xiao-Fen,
Zhu Guang-Hu,
Li Ke-Zan
1.School of Mathematics and Computing Science, Guangxi Key Laboratory of Cryptography and Information Security, Guilin University of Electronic Technology, Guilin 541004, China
Fund Project:Project supported by the National Natural Science Foundation of China (Grant Nos. 61663006, 11661026, 11562006), the Guangxi Natural Science Foundation Program, China (Grant No. 2015GXNSFBB139002), and Guangxi Key Laboratory of Cryptography and Information Security, China (Grant No. GCIS201612).Received Date:15 July 2017
Accepted Date:25 September 2017
Published Online:05 January 2018
Abstract: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.
Keywords: successive lag synchronization/
linear feedback control/
adaptive control/
non-uniform communication delay
