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
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