Impulsive control for the stabilization and synchronization of Lorenz systems

被引：102
|
作者：
Xie, WX [1 ]
Wen, CY [1 ]
Li, ZG [1 ]
机构：
[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore
来源：
PHYSICS LETTERS A | 2000年 / 275卷 / 1-2期
关键词：
impulsive control; impulsive synchronization; Lorenz systems;
D O I：
10.1016/S0375-9601(00)00584-3
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 Lorenz systems via impulsive control with varying impulsive intervals. Compared with the existing results, these conditions are less conservative in that the Lyapunov function is only required to be nonincreasing along a subsequence of switchings, instead of the whole sequence of switchings. Moreover, a larger upper bound of impulsive intervals for the stabilization and synchronization can be obtained. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：67 / 72
页数：6
相关论文
共 50 条
  • [1] Impulsive control for the stabilization and synchronization of Lorenz systems
    Sun, JT
    Zhang, YP
    Wu, QD
    [J]. PHYSICS LETTERS A, 2002, 298 (2-3) : 153 - 160
  • [2] Impulsive Control and Synchronization of Complex Lorenz Systems
    Aly, Shaban
    Al-Qahtani, Ali
    Khenous, Houari B.
    Mahmoud, Gamal M.
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [3] Impulsive control and synchronization of the Lorenz systems family
    Wu, Xiaoqun
    Lu, Jun-an
    Tse, Chi K.
    Wang, Jinjun
    Liu, Jie
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 31 (03) : 631 - 638
  • [4] Impulsive synchronization of Lorenz systems
    Yang, T
    Yang, LB
    Yang, CM
    [J]. PHYSICS LETTERS A, 1997, 226 (06) : 349 - 354
  • [5] Synchronization of Lorenz systems via impulsive control and sporadic coupling
    Li, K
    Soh, YC
    Li, ZG
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (08): : 2963 - 2969
  • [6] Impulsive Synchronization of Generalized Lorenz Systems
    Xiao, Jiang-Wen
    [J]. 2009 THIRD INTERNATIONAL SYMPOSIUM ON INTELLIGENT INFORMATION TECHNOLOGY APPLICATION, VOL 2, PROCEEDINGS, 2009, : 526 - 529
  • [7] Impulsive control for the stabilization and synchronization of Lur'e systems
    Sun, JT
    Wu, QD
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2004, 25 (03) : 322 - 328
  • [8] IMPULSIVE CONTROL FOR THE STABILIZATION AND SYNCHRONIZATION OF LUR'E SYSTEMS
    孙继涛
    吴启迪
    [J]. Applied Mathematics and Mechanics(English Edition), 2004, (03) : 322 - 328
  • [9] Impulsive control for the stabilization and synchronization of Lur’e systems
    Sun Ji-tao
    Wu Qi-di
    [J]. Applied Mathematics and Mechanics, 2004, 25 (3) : 322 - 328
  • [10] Stochastic impulsive control for the stabilization of Lorenz system
    王亮
    赵锐
    徐伟
    张莹
    [J]. Chinese Physics B, 2011, 20 (02) : 123 - 128
12345