Complex Projective Synchronization of Fractional Complex Systems Using Nonlinear Control Method

被引:0
|
作者
Yadav, Vijay K. [1 ]
Das, Subir [1 ]
Cafagna, Donato [2 ]
机构
[1] Indian Inst Technol, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India
[2] Univ Salento, Dipartimento Ingn Innovaz, I-73100 Lecce, Italy
关键词
Fractional derivative; Projective synchronization; Chaotic complex systems; Nonlinear control method; ANTI-SYNCHRONIZATION; LORENZ EQUATIONS; CHAOS; CALCULUS; REAL;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The manuscript investigates the complex projective synchronization of two complex non-integer chaotic systems using a nonlinear control method. To this purpose, the nonlinear controller is designed on basis of Lyapunov stability theorems, applying a recent theorem stated for fractional dynamical systems. The simulation results confirm that the suggested approach allows to derive an effective nonlinear control function and to achieve projective chaos synchronization of the complex non-integer Lorenz system and the complex non-integer Lu system.
引用
收藏
页数:6
相关论文
共 50 条
  • [31] Modified Hybrid Projective Synchronization of Two Fractional Order Complex Chaotic Systems with Time Delays
    George, Jesu Nicholas
    Selvamani, Rajendran
    Zhu, Quanxin
    INTERNATIONAL CONFERENCE ON TRENDS IN MATERIAL SCIENCE AND INVENTIVE MATERIALS (ICTMIM 2020), 2020, 2259
  • [32] Adaptive Control and Cluster Projective Synchronization of Complex Networks
    Wang, Shu-Guo
    INTERNATIONAL CONFERENCE ON CONTROL ENGINEERING AND AUTOMATION (ICCEA 2014), 2014, : 188 - 192
  • [33] Complex Projective Synchronization of Complex System With Disturbance
    Chen, Zhi-zhong
    PROCEEDINGS OF THE 2016 6TH INTERNATIONAL CONFERENCE ON MACHINERY, MATERIALS, ENVIRONMENT, BIOTECHNOLOGY AND COMPUTER (MMEBC), 2016, 88 : 2084 - 2088
  • [34] Complex function projective synchronization of general networked chaotic systems by using complex adaptive fuzzy logic
    J. W. Lee
    S. M. Lee
    S. C. Won
    Nonlinear Dynamics, 2015, 81 : 2095 - 2106
  • [35] Complex function projective synchronization of general networked chaotic systems by using complex adaptive fuzzy logic
    Lee, J. W.
    Lee, S. M.
    Won, S. C.
    NONLINEAR DYNAMICS, 2015, 81 (04) : 2095 - 2106
  • [36] Complex modified generalized projective synchronization of fractional-order complex chaos and real chaos
    Liu, Jian
    Liu, Shutang
    Li, Wei
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [37] Complex modified generalized projective synchronization of fractional-order complex chaos and real chaos
    Jian Liu
    Shutang Liu
    Wei Li
    Advances in Difference Equations, 2015
  • [38] Projective synchronization of a complex network with different fractional order chaos nodes
    Wang Ming-Jun
    Wang Xing-Yuan
    Niu Yu-Jun
    CHINESE PHYSICS B, 2011, 20 (01)
  • [39] Projective synchronization of a complex network with different fractional order chaos nodes
    王明军
    王兴元
    牛玉军
    Chinese Physics B, 2011, (01) : 228 - 232
  • [40] Adaptive complex modified projective synchronization of complex chaotic (hyperchaotic) systems with uncertain complex parameters
    Liu, Jian
    Liu, Shutang
    Yuan, Chunhua
    NONLINEAR DYNAMICS, 2015, 79 (02) : 1035 - 1047