General synchronization of Genesio-Tesi systems

被引:27
作者
Chen, MY
Han, ZZ
Shang, Y
机构
[1] Shanghai Jiao Tong Univ, Dept Automat, Intelligent Engn Lab, Shanghai 200030, Peoples R China
[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 01期
关键词
chaos; general synchronization; iteration transformation;
D O I
10.1142/S0218127404009077
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we develop a new approach to generally synchronize Genesio-Tesi systems. A suitable scalar signal of the master, Genesio-Tesi system, is transmitted to the slaver, which is derived from an iteration transformation of a Genesio-Tesi system. If a parameter is chosen properly, the stability of synchronization manifold becomes Hurwitz stability. Numerical simulation verifies the effectiveness of this method.
引用
收藏
页码:347 / 354
页数:8
相关论文
共 21 条
[11]   A chaotic masking scheme by using synchronized chaotic systems [J].
Morgül, Ö ;
Feki, M .
PHYSICS LETTERS A, 1999, 251 (03) :169-176
[12]   A dynamical control view on synchronization [J].
Nijmeijer, H .
PHYSICA D-NONLINEAR PHENOMENA, 2001, 154 (3-4) :219-228
[13]   An observer looks at synchronization [J].
Nijmeijer, H ;
Mareels, IMY .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1997, 44 (10) :882-890
[14]   SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].
PECORA, LM ;
CARROLL, TL .
PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824
[15]   ON CHARACTERIZATIONS OF THE INPUT-TO-STATE STABILITY PROPERTY [J].
SONTAG, ED ;
WANG, Y .
SYSTEMS & CONTROL LETTERS, 1995, 24 (05) :351-359
[16]   ON SYSTEM DECOMPOSITION FOR SYNCHRONIZING CHAOS [J].
TESI, A ;
DEANGELI, A ;
GENESIO, R .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (06) :1675-1685
[17]   Adaptive synchronization of uncertain chaotic systems via backstepping design [J].
Wang, C ;
Ge, SS .
CHAOS SOLITONS & FRACTALS, 2001, 12 (07) :1199-1206
[18]   A UNIFIED FRAMEWORK FOR SYNCHRONIZATION AND CONTROL OF DYNAMICAL-SYSTEMS [J].
WU, CW ;
CHUA, LO .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (04) :979-998
[19]   Generalized synchronization in chaotic systems [J].
Yang, SS ;
Duan, CK .
CHAOS SOLITONS & FRACTALS, 1998, 9 (10) :1703-1707
[20]   Concepts of synchronization in dynamical systems [J].
Yang, XS .
PHYSICS LETTERS A, 1999, 260 (05) :340-344