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
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
相关论文
共 50 条
  • [31] Synchronization of fractional-order chaotic systems
    Gao, X
    Yu, JB
    2005 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS, VOLS 1 AND 2, PROCEEDINGS: VOL 1: COMMUNICATION THEORY AND SYSTEMS, 2005, : 1169 - 1172
  • [32] Dual projective synchronization between integer-order and fractional-order chaotic systems
    Zhang, Qing
    Xiao, Jian
    Zhang, Xiao-Qing
    Cao, Duan-Yang
    OPTIK, 2017, 141 : 90 - 98
  • [33] Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)
    Zhou Ping
    Cheng Yuan-Ming
    Kuang Fei
    CHINESE PHYSICS B, 2010, 19 (09)
  • [34] Synchronization between fractional-order chaotic systems and integer orders chaotic systems (fractional-order chaotic systems)
    周平
    程元明
    邝菲
    Chinese Physics B, 2010, (09) : 237 - 242
  • [35] Combination Synchronization of Three Different Fractional-Order Delayed Chaotic Systems
    Li, Bo
    Zhou, Xiaobing
    Wang, Yun
    COMPLEXITY, 2019, 2019
  • [36] Projective synchronization of fractional-order chaotic systems based on sliding mode control
    Liu Ding
    Yan Xiao-Mei
    ACTA PHYSICA SINICA, 2009, 58 (06) : 3747 - 3752
  • [37] Adaptive function projective synchronization between different fractional-order chaotic systems
    Zhou, P.
    Ding, R.
    INDIAN JOURNAL OF PHYSICS, 2012, 86 (06) : 497 - 501
  • [38] Adaptive function projective synchronization between different fractional-order chaotic systems
    Ping Zhou
    Rui Ding
    Indian Journal of Physics, 2012, 86 : 497 - 501
  • [39] Generalized Projective Synchronization of Time-delayed Fractional Order Chaotic Systems
    Zhou, Shangbo
    Zhang, Weiwei
    He, Zhongshi
    2009 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS PROCEEDINGS, VOLUMES I & II, 2009, : 853 - 857
  • [40] Hybrid projective synchronization of time-delayed fractional order chaotic systems
    Wang, Sha
    Yu, Yongguang
    Wen, Guoguang
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2014, 11 : 129 - 138