Lag projective synchronization of fractional-order delayed chaotic systems

被引：57
作者：
Zhang, Weiwei [1 ]
Cao, Jinde [2 ]
Wu, Ranchao [3 ]
Alsaadi, Fuad E. [4 ]
Alsaedi, Ahmed [5 ]
机构：
[1] Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
[2] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Anhui Univ, Sch Math, Hefei 230039, Anhui, Peoples R China
[4] King Abdulaziz Univ, Dept Elect & Comp Engn, Fac Engn, Jeddah 21589, Saudi Arabia
[5] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2019年 / 356卷 / 03期
基金：
中国国家自然科学基金;
关键词：
GENERALIZED NEURAL-NETWORKS; EXPONENTIAL STABILITY; DISSIPATIVITY;
D O I：
10.1016/j.jfranklin.2018.10.024
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 considers the lag projective synchronization of fractional-order delayed chaotic systems. The lag projective synchronization is achieved through the use of comparison principle of linear fractional equation at the presence of time delay. Some sufficient conditions are obtained via a suitable controller. The results show that the slave system can synchronize the past state of the driver up to a scaling factor. Finally, two different structural fractional order delayed chaotic systems are considered in order to examine the effectiveness of the lag projective synchronization. Feasibility of the proposed method is validated through numerical simulations. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1522 / 1534
页数：13
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