Fixed-Time Stochastic Synchronization of Complex Networks via Continuous Control

被引：101
作者：
Zhang, Wanli [1 ]
Yang, Xinsong [2 ]
Li, Chuandong [1 ]
机构：
[1] Southwest Univ, Coll Elect & Informat Engn, Natl & Local Joint Engn Lab Intelligent Transmiss, Chongqing 400715, Peoples R China
[2] Chongqing Normal Univ, Dept Math, Chongqing 401331, Peoples R China
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2019年 / 49卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Complex network (CN); continuous control; fixed-time synchronization (FDTS); stochastic perturbation; FINITE-TIME; NEURAL-NETWORKS; DYNAMICAL NETWORKS; DELAYS; STABILIZATION; STABILITY;
D O I：
10.1109/TCYB.2018.2839109
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the fixed-time synchronization (FDTS) of complex networks with stochastic perturbations. A new control scheme is designed to realize the synchronization goal. Moreover, the designed controller without sign function is continuous, which means the chattering phenomenon in some previous results can be avoided. By constructing Lyapunov functionals, using the properties of the Weiner process as well as applying a designed comparison system, several FDTS criteria are obtained. Synchronization criteria of this paper are very general and can be utilized in directed and undirected weighted networks. Numerical simulations are given to illustrate the theoretical results.
引用
收藏
页码：3099 / 3104
页数：6
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