Tracking the State of the Delay Hyperchaotic Lu System Using the Coullet Chaotic System via a Single Controller

被引:3
作者
Zhou, Yan [1 ]
Shi, Xuerong [1 ]
Wang, Zuolei [1 ]
Huang, Juanjuan [1 ]
Tang, Keming [2 ]
Yu, Jianjiang [2 ]
机构
[1] Yancheng Teachers Univ, Sch Math Sci, Yancheng 224002, Peoples R China
[2] Yancheng Teachers Univ, Sch Informat Sci & Technol, Yancheng 224002, Peoples R China
基金
中国国家自然科学基金;
关键词
chaos synchronization; delay hyperchaotic Lu system; Coullet system; partial synchronization; ADAPTIVE SYNCHRONIZATION; STOCHASTIC NOISE; FEEDBACK-CONTROL; TIME-DELAY; NETWORKS;
D O I
10.1002/cplx.21637
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article, a partial synchronization scheme is proposed based on Lyapunov stability theory to track the signal of the delay hyperchaotic Lu system using the Coullet system based on only one single controller. The proposed tracking control design has two advantages: only one controller is adopted in our approach and it can allow us to drive the hyperchaotic system to a simple chaotic system even with uncertain parameters. Numerical simulation results are given to demonstrate the effectiveness and robustness of the proposed partial synchronization scheme. (C) 2014 Wiley Periodicals, Inc.
引用
收藏
页码:125 / 130
页数:6
相关论文
共 34 条
[1]   Information processing, memories, and synchronization in chaotic neural network with the time delay [J].
Bondarenko, VE .
COMPLEXITY, 2005, 11 (02) :39-52
[2]   Periodic oscillatory solution of bidirectional associative memory networks with delays [J].
Cao, J ;
Wang, L .
PHYSICAL REVIEW E, 2000, 61 (02) :1825-1828
[3]   Controlling and synchronizing chaotic Genesio system via nonlinear feedback control [J].
Chen, MY ;
Han, ZZ .
CHAOS SOLITONS & FRACTALS, 2003, 17 (04) :709-716
[4]   Global anti-synchronization of master-slave chaotic modified Chua's circuits coupled by linear feedback control [J].
Chen, Yun ;
Li, Minyong ;
Cheng, Zhifeng .
MATHEMATICAL AND COMPUTER MODELLING, 2010, 52 (3-4) :567-573
[5]   TRANSITION TO STOCHASTICITY FOR A CLASS OF FORCED OSCILLATORS [J].
COULLET, P ;
TRESSER, C ;
ARNEODO, A .
PHYSICS LETTERS A, 1979, 72 (4-5) :268-270
[6]   Phase synchronization of coupled chaotic multiple time scales systems [J].
Ge, ZM ;
Chen, CC .
CHAOS SOLITONS & FRACTALS, 2004, 20 (03) :639-647
[7]   Nonlinear-observer-based synchronization scheme for multiparameter estimation [J].
Ghosh, Dibakar .
EPL, 2008, 84 (04)
[8]   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
[9]   Synchronization of two different systems by using generalized active control [J].
Ho, MC ;
Hung, YC .
PHYSICS LETTERS A, 2002, 301 (5-6) :424-428
[10]  
Hoang T. M., 2010, INT J ELECT ELECT EN, V4, P240