Global fixed-time synchronization of chaotic systems with different dimensions

被引：32

作者：

Guo, Xiaozhen ^{[1
]}

Wen, Guoguang ^{[1
]}

Peng, Zhaoxia ^{[2
]}

Zhang, Yunlong ^{[3
]}

机构：

[1] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

[2] Beihang Univ, Sch Transportat Sci & Engn, Beijing, Peoples R China

[3] Cent Lille, CRIStAL, UMR CNRS 9189, F-59651 Villeneuve Dascq, France

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2020年 / 357卷 / 02期

基金：

中国国家自然科学基金;

关键词：

FINITE-TIME; DYNAMICAL NETWORKS; COMPLEX NETWORKS; NEURAL-NETWORKS; PROJECTIVE SYNCHRONIZATION; OUTER SYNCHRONIZATION; PINNING CONTROL; DIFFERENT ORDER; STABILIZATION; STABILITY;

D O I：

10.1016/j.jfranklin.2019.11.063

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 studies the global fixed-time synchronization (GFTS) of chaotic systems with different dimensions. First, with the help of fixed-time stability theory of dynamic systems, a novel control protocol is put forward, which can achieve globally synchronization of two different dimensional chaotic systems (DDCS) in fixed time. Second, the GFTS of DDCS with uncertain parameters is also considered. The appropriate adaptive laws are designed to address the unknown parameters of the systems. Then, by the adaptive control, a new controller is presented to ensure the realization of DDCS within a given fixed time. Third, the GFTS is considered to networked DDCS, and the controller is also proposed accordingly. Different from conventional finite-time synchronization, the upper bound of settling time is independent of initial conditions of systems in GFTS. Finally, the effectiveness of the obtained results is demonstrated by corresponding numerical simulations. (C) 2019 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1155 / 1173

页数：19

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