Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (3): 322-328.

• 论文 • 上一篇    下一篇

IMPULSIVE CONTROL FOR THE STABILIZATION AND SYNCHRONIZATION OF LUR’E SYSTEMS

孙继涛1, 吴启迪2   

  1. 1. Department of Applied Mathematics, Tongji University, Shanghai 200092, P.R.China;
    2. CIMS Research Center, Tongji University, Shanghai 200092, P.R.China
  • 收稿日期:2002-10-26 修回日期:2003-11-20 出版日期:2004-03-18 发布日期:2004-03-18
  • 基金资助:
    National 973 Program of China(2002CB312200); the National Natural Science Foundation of China(79970030, 60104004); the Municipal Natural Science Foundation of Shanghai, China(03ZR14095)

IMPULSIVE CONTROL FOR THE STABILIZATION AND SYNCHRONIZATION OF LUR’E SYSTEMS

SUN Ji-tao1, WU Qi-di2   

  1. 1. Department of Applied Mathematics, Tongji University, Shanghai 200092, P.R.China;
    2. CIMS Research Center, Tongji University, Shanghai 200092, P.R.China
  • Received:2002-10-26 Revised:2003-11-20 Online:2004-03-18 Published:2004-03-18
  • Supported by:
    National 973 Program of China(2002CB312200); the National Natural Science Foundation of China(79970030, 60104004); the Municipal Natural Science Foundation of Shanghai, China(03ZR14095)

摘要: An impulsive control scheme of the Lur’e system and several theorems on stability of impulsive control systems was presented,these theorems were then used to find the conditions under which the Lur’e system can be stabilized by using impulsive control with varying impulsive intervals.The parameters of Lur’e system and impulsive control law are given,a theory of impulsive synchronization of two Lur’e system is also presented. A numerical example is used to verify the theoretical result.

Abstract: An impulsive control scheme of the Lur’e system and several theorems on stability of impulsive control systems was presented,these theorems were then used to find the conditions under which the Lur’e system can be stabilized by using impulsive control with varying impulsive intervals.The parameters of Lur’e system and impulsive control law are given,a theory of impulsive synchronization of two Lur’e system is also presented. A numerical example is used to verify the theoretical result.

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