Nonlinear state-observer control for projective synchronization of a fractional-order hyperchaotic system

被引：0
作者：
Ling Liu
Deliang Liang
Chongxin Liu
机构：
[1] Xi’an Jiaotong University,State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering
来源：
Nonlinear Dynamics | 2012年 / 69卷
关键词：
Fractional-order; Hyperchaotic system; Nonlinear state observer; Projective synchronization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider an observer-based control approach for manipulating projective synchronization of nonlinear systems in high dimensional. Based on the stability theory of the fractional-order dynamical system, a nonlinear state observer is designed which can achieve projective synchronization in a class of high dimensional fractional-order hyperchaotic systems without restriction of partial-linearity and calculating the Lyapunov index of system. Simulation studies are included to demonstrate the effectiveness and feasibility of the proposed approach and synthesis procedures.
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页码：1929 / 1939
页数：10
相关论文
共 88 条
[1]  
Pecora L.(1990)Synchronization in chaotic systems Phys. Rev. Lett. 64 821-824
[2]  
Carroll T.(1998)Anticontrol of chaos via feedback Int. J. Bifurc. Chaos 8 1585-1590
[3]  
Chen G.R.(2000)Adaptive backstepping control of a class of chaotic systems Int. J. Bifurc. Chaos 10 1149-1156
[4]  
Lai D.(2001)Adaptive synchronization of uncertain chaotic systems via backstepping design Chaos Solitons Fractals 12 1199-1206
[5]  
Ge S.S.(2011)Theoretical analysis and circuit implementation of a novel complicated hyperchaotic system Nonlinear Dyn. 66 707-715
[6]  
Wang C.(2008)Analysis of a novel four-dimensional hyperchaotic system Chin. J. Phys. 46 386-393
[7]  
Lee T.H.(2007)Nonlinear observer based phase synchronization of chaotic systems Phys. Lett. A 369 294-298
[8]  
Wang C.(2008)A general scheme for Q-S synchronization of chaotic systems Nonlinear Anal. 69 1091-1099
[9]  
Ge S.S.(2008)Observer-based adaptive fuzzy synchronization for hyperchaotic systems Chaos 18 3351-3357
[10]  
Liu L.(2009)Synchronization of the fractional order hyperchaos lorenz systems with activation feedback control Commun. Nonlinear Sci. Numer. Simul. 14 2066-2080
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