Projective lag synchronization for fractional-order chaotic systems with different orders

被引:0
|
作者
Liu, Heng [1 ]
Yin, Zhixiang [2 ]
机构
[1] Department of Mathematics and Computational Science, Huainan Normal University, Dongshanxi Road, Tianjiaan Dist., Huainan, China
[2] School of Science, Anhui University of Science and Technology, No. 168, Shungengzhong Road, Tianjiaan Dist., Huainan, China
来源
ICIC Express Letters | 2014年 / 8卷 / 11期
关键词
Fractional calculus - Fractional operators - Fractional order - Fractional-order chaotic systems - Projective lag synchronizations - Stability theorems - Synchronization controllers;
D O I
暂无
中图分类号
学科分类号
摘要
This paper investigates the projective lag synchronization problem of fractional- order chaotic systems. The master and slave chaotic systems have different fractional orders. Based on properties of fractional calculus and the stability theorems of fractional-order linear systems, a smooth fractional synchronization controller is designed. Finally, simulation results are given to show the effectiveness of the proposed method.
引用
收藏
页码:3221 / 3227
相关论文
共 50 条
  • [1] Lag projective synchronization of fractional-order delayed chaotic systems
    Zhang, Weiwei
    Cao, Jinde
    Wu, Ranchao
    Alsaadi, Fuad E.
    Alsaedi, Ahmed
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (03): : 1522 - 1534
  • [2] Function projective lag synchronization of fractional-order chaotic systems
    Sha, Wang
    Yu Yong-Guang
    Hu, Wang
    Rahmani, Ahmed
    CHINESE PHYSICS B, 2014, 23 (04)
  • [3] Function projective lag synchronization of fractional-order chaotic systems
    王莎
    于永光
    王虎
    Ahmed Rahmani
    Chinese Physics B, 2014, 23 (04) : 175 - 181
  • [4] Lag projective synchronization in fractional-order chaotic (hyperchaotic) systems
    Chen, Liping
    Chai, Yi
    Wu, Ranchao
    PHYSICS LETTERS A, 2011, 375 (21) : 2099 - 2110
  • [5] Lag projective synchronization of two chaotic systems with different fractional orders
    Zhenwu Sun
    Journal of the Korean Physical Society, 2015, 66 : 1192 - 1199
  • [6] Lag projective synchronization of two chaotic systems with different fractional orders
    Sun, Zhenwu
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2015, 66 (08) : 1192 - 1199
  • [7] LAG FULL STATE HYBRID PROJECTIVE SYNCHRONIZATION IN DIFFERENT FRACTIONAL-ORDER CHAOTIC SYSTEMS
    Tang, Yang
    Fang, Jian-An
    Chen, Liang
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2010, 24 (31): : 6129 - 6141
  • [8] Projective synchronization of different fractional-order chaotic systems with non-identical orders
    Si, Gangquan
    Sun, Zhiyong
    Zhang, Yanbin
    Chen, Wenquan
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (04) : 1761 - 1771
  • [9] Generalized projective synchronization for fractional-order chaotic systems with different fractional order
    Zhou, Ping
    Ding, Rui
    ADVANCED MATERIALS AND COMPUTER SCIENCE, PTS 1-3, 2011, 474-476 : 2106 - +
  • [10] Modified function projective lag synchronization in fractional-order chaotic (hyperchaotic) systems
    Luo Chao
    Wang Xingyuan
    JOURNAL OF VIBRATION AND CONTROL, 2014, 20 (10) : 1498 - 1511