A kind of modified generalized synchronization of chaotic systems

被引:0
作者
Gao, Weixun [1 ]
Xu, Yuhua [1 ,2 ]
机构
[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[2] Yunyang Teachers Coll, Dept Maths, Shiyan 442000, Hubei, Peoples R China
来源
PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE | 2012年
关键词
Chaotic system; generalized synchronization; adaptive control; ADAPTIVE SYNCHRONIZATION; UNCERTAIN PARAMETERS; ATTRACTOR; NETWORKS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper investigates a kind of modified generalized synchronization of uncertain chaotic systems using adaptive controller. In comparison with those of the existing generalized synchronization, we assume that the difference between the drive system and the response system converge asymptotically to a function of time, and the function of time can be identified by adaptive laws. This adaptive feature of the function of time could be more convenient in application to secure communications. Based on Lyapunov stability theorem, the adaptive control law is derived to make the state of two chaotic systems generalized synchronized. Some numerical are also given to show the effectiveness of the proposed method.
引用
收藏
页码:515 / 518
页数:4
相关论文
共 22 条
[1]   Synchronization in an array of linearly stochastically coupled networks with time delays [J].
Cao, Jinde ;
Wang, Zidong ;
Sun, Yonghui .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2007, 385 (02) :718-728
[2]   Cluster synchronization in an array of hybrid coupled neural networks with delay [J].
Cao, Jinde ;
Li, Lulu .
NEURAL NETWORKS, 2009, 22 (04) :335-342
[3]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[4]   Pragmatical generalized synchronization of chaotic systems with uncertain parameters by adaptive control [J].
Ge, Zheng-Ming ;
Yang, Cheng-Hsiung .
PHYSICA D-NONLINEAR PHENOMENA, 2007, 231 (02) :87-94
[5]   Generalized synchronization of chaotic systems: An auxiliary system approach via matrix measure [J].
He, Wangli ;
Cao, Jinde .
CHAOS, 2009, 19 (01)
[6]   Adaptive synchronization between different fractional hyperchaotic systems with uncertain parameters [J].
Hu Jian-Bing ;
Han Yan ;
Zhao Ling-Dong .
ACTA PHYSICA SINICA, 2009, 58 (03) :1441-1445
[7]   Chaos synchronization of unified chaotic systems via LMI [J].
Kuntanapreeda, Suwat .
PHYSICS LETTERS A, 2009, 373 (32) :2837-2840
[8]  
Li W L, 2008, PHYS REV LETT, V57, P51
[9]   A new chaotic attractor coined [J].
Lü, JH ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03) :659-661
[10]   Adaptive stabilization and synchronization for chaotic Lur'e systems with time-varying delay [J].
Lu, Jianquan ;
Cao, Jinde ;
Ho, Daniel W. C. .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2008, 55 (05) :1347-1356