CONTROL AND ADAPTIVE MODIFIED FUNCTION PROJECTIVE SYNCHRONIZATION OF LIU CHAOTIC DYNAMICAL SYSTEM

被引：3
|
作者：
El-Dessoky, M. M. [1 ,2 ]
Alzahrani, E. O. [1 ]
Almohammadi, N. A. [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Math Dept, POB 80203, Jeddah 21589, Saudi Arabia
[2] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 02期
关键词：
Feedback control method; Liu chaotic dynamical system; Routh-Hurwitz criterion; Lyapunov stability; projective synchronization; GENERALIZED SYNCHRONIZATION; HYPERCHAOTIC SYSTEMS;
D O I：
10.11948/2156-907X.20180119
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, the feedback control method is proposed to control the behaviour of Liu chaotic dynamical system. The controlled system is stable under some conditions on the parameters of the system determined by Routh-Hurwitz criterion. This paper also presents the adaptive modified function projective synchronization (AMFPS) between two identical Liu chaotic dynamical systems. Based on the Lyapunov stability theorem, adaptive control laws are designed to achieving the AMFPS. Finally, some numerical simulations are obtained to validate the proposed methods.
引用
收藏
页码：601 / 614
页数：14
相关论文
共 50 条
  • [1] Control and adaptive modified function projective synchronization of a new chaotic system
    El-Dessoky, M. M.
    Alzahrani, Ebraheem
    Abdulmannan, Z. A.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2024, 34 (04): : 394 - 403
  • [2] Modified function projective synchronization of chaotic system
    Du, Hongyue
    Zeng, Qingshuang
    Wang, Changhong
    CHAOS SOLITONS & FRACTALS, 2009, 42 (04) : 2399 - 2404
  • [3] Adaptive modified function projective synchronization for four-dimensional chaotic system
    Wang J.-A.
    Li Z.-J.
    Liu H.-P.
    Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2010, 32 (08): : 1745 - 1748
  • [4] Control and adaptive modified function projective synchronization of different hyperchaotic dynamical systems
    El-Dessoky, M. M.
    Almohammadi, Nehad
    Alzahrani, Ebraheem
    AIMS MATHEMATICS, 2023, 8 (10): : 23621 - 23634
  • [5] Control and adaptive modified function projective synchronization of a new hyperchaotic system
    El-Dessoky, M. M.
    Alzahrani, Ebraheem
    Al-Rehily, Najlaa
    ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (04) : 3985 - 3990
  • [6] Adaptive modified function projective synchronization of a class of chaotic systems with uncertainties
    Deng Wei
    Fang Jie
    Wu Zhen-Jun
    Wu Yan-Min
    ACTA PHYSICA SINICA, 2012, 61 (14)
  • [7] Existence of Chaos, dynamical behaviour with fractional order derivatives and modified adaptive function projective synchronization with uncertain parameters of a chaotic system
    Agrawal, S. K.
    Vishal, K.
    OPTIK, 2017, 131 : 89 - 103
  • [8] Modified projective synchronization of chaotic system
    Li, Guo-Hui
    CHAOS SOLITONS & FRACTALS, 2007, 32 (05) : 1786 - 1790
  • [9] Modified function projective feedback control for time-delay chaotic Liu system synchronization and its application to secure image transmission
    Tirandaz, Hamed
    Karmi-Mollaee, Ali
    OPTIK, 2017, 147 : 187 - 196
  • [10] CHAOS SYNCHRONIZATION OF TSUCS UNIFIED CHAOTIC SYSTEM, A MODIFIED FUNCTION PROJECTIVE CONTROL METHOD
    Tirandaz, Hamed
    KYBERNETIKA, 2018, 54 (04) : 829 - 843
12345