Impulsive control and synchronization of a new chaotic system

被引:42
作者
Run-Zi, Luo [1 ]
机构
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
关键词
generalized synchronization; impulsive control; chaotic systems;
D O I
10.1016/j.physleta.2007.08.010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This Letter derives some sufficient conditions for the stabilization and synchronization of the new chaotic system proposed by [G.Y. Qi, et al., Physica A 352 (2005) 295] via an impulsive method. Some new and less conservative criteria for the global exponential stability and asymptotical stability of impulsively controlled new chaotic system are obtained with varying impulsive intervals. In particular, some simple and easily verified criteria are established with equivalent impulsive intervals. An illustrative example is finally included to visualize the effectiveness and feasibility of the developed methods. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:648 / 653
页数:6
相关论文
共 21 条
  • [1] On a generalized Lorenz canonical form of chaotic systems
    Celikovsky, S
    Chen, GR
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (08): : 1789 - 1812
  • [2] Impulsive control and synchronization of general chaotic system
    Chen, DL
    Sun, JT
    Huang, CS
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 28 (01) : 213 - 218
  • [3] Yet another chaotic attractor
    Chen, GR
    Ueta, T
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07): : 1465 - 1466
  • [4] Impulsive control and synchronization of unified chaotic system
    Chen, SH
    Yang, Q
    Wang, CP
    [J]. CHAOS SOLITONS & FRACTALS, 2004, 20 (04) : 751 - 758
  • [5] Guan ZH, 1999, DYN CONTIN DISCRET I, V6, P367
  • [6] Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6
  • [7] Generating hyperchaos via state feedback control
    Li, YX
    Tang, WKS
    Chen, GR
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (10): : 3367 - 3375
  • [8] LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO
  • [9] 2
  • [10] Synchronization of a unified chaotic system and the application in secure communication
    Lu, J
    Wu, XQ
    Lü, JH
    [J]. PHYSICS LETTERS A, 2002, 305 (06) : 365 - 370