Global Chaos Synchronization of New Chaotic System using Linear Active Control

被引：36
作者：
Ahmad, Israr [1 ,2 ]
Bin Saaban, Azizan [2 ]
Ibrahim, Adyda Binti [3 ]
Shahzad, Mohammad [1 ]
机构：
[1] Minist Higher Educ, Dept Gen Requirements, Coll Appl Sci Nizwa, Muscat, Oman
[2] Univ Utara Malaysia, UUM Coll Arts & Sci, Saintok 06010, Kedah, Malaysia
[3] UUM, Sch Quantitat Sci, Coll Arts & Sci, Kuala Lumpur, Malaysia
来源：
COMPLEXITY | 2015年 / 21卷 / 01期
关键词：
synchronization; Lyapunov stability theory; linear active control; chaotic systems; NONLINEAR CONTROL; COMPLEX NETWORKS; FEEDBACK;
D O I：
10.1002/cplx.21573
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Chaos synchronization is a procedure where one chaotic oscillator is forced to adjust the properties of another chaotic oscillator for all future states. This research paper studies and investigates the global chaos synchronization problem of two identical chaotic systems and two non-identical chaotic systems using the linear active control technique. Based on the Lyapunov stability theory and using the linear active control technique, the stabilizing controllers are designed for asymptotically global stability of the closed-loop system for both identical and nonidentical synchronization. o Numerical simulations and graphs are imparted to justify the efficiency and effectiveness of the proposed scheme. All simulations have been done by using mathematica 9. (C) 2014 Wiley Periodicals, Inc.
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收藏
页码：379 / 386
页数：8
相关论文
共 23 条
[1]  
Ahmad I., 2014, ASIAN J APPL SCI, V2, P1
[2]  
[Anonymous], NONLINEAR DYNAMICAL
[3]  
Bai E.W., 1997, PHYS REV LETT, V64, P1199, DOI DOI 10.1016/S0960-0779(96)00060-4
[4]   CONTROLLING CHAOS BY CHAOS IN GEOPHYSICAL SYSTEMS [J].
BRINDLEY, J ;
KAPITANIAK, T ;
KOCAREV, L .
GEOPHYSICAL RESEARCH LETTERS, 1995, 22 (10) :1257-1260
[5]   Global synchronization of chaotic systems via linear balanced feedback control [J].
Chen, Heng-Hui .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 186 (01) :923-931
[6]   Global chaos synchronization of new chaotic systems via nonlinear control [J].
Chen, Hsien-Keng .
Chaos, Solitons and Fractals, 2005, 23 (04) :1245-1251
[7]   Robust Decentralized Adaptive Synchronization of General Complex Networks with Coupling Delayed and Uncertainties [J].
He, Ping ;
Jing, Chun-Guo ;
Fan, Tao ;
Chen, Chang-Zhong .
COMPLEXITY, 2014, 19 (03) :10-26
[8]   Nonlinear Response of Chemical Reaction Dynamics AC Corrosion Protection [J].
Hubler, Alfred ;
Friedl, Andrew .
COMPLEXITY, 2013, 19 (01) :6-8
[9]   Optimal complex networks spontaneously emerge when information transfer is maximized at least expense: A design perspective [J].
Katare, S ;
West, DH .
COMPLEXITY, 2006, 11 (04) :26-35
[10]   Synchronization of circular restricted three body problem with lorenz hyper chaotic system using a robust adaptive sliding mode controller [J].
Khan, Ayub ;
Shahzad, Mohammad .
COMPLEXITY, 2013, 18 (06) :58-64
123