数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (1): 161-169.

• 论文 • 上一篇    下一篇

ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS

刘斌,刘新芝,廖晓昕   

  • 出版日期:2005-01-20 发布日期:2005-01-20
  • 基金资助:

    Research supported by National Natural Science Foundation of China (60274007) and Post Doctoral Foundation of China (2003034485) and HUST, and NSERC-Canada.

ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS

 LIU Bin, LIU Xin-Zhi, LIAO Xiao-Cuan   

  1. Department of Information and Computation Science, Zhuzhou Institute of Technology;Department of Control Science and EngineeringHuazhong University of Science and Technology,Department of Applied Mathematics, University of Waterloo,
  • Online:2005-01-20 Published:2005-01-20
  • Supported by:

    Research supported by National Natural Science Foundation of China (60274007) and Post Doctoral Foundation of China (2003034485) and HUST, and NSERC- Canada.

摘要:

By using the quasi-Lyapunov function, some sufficient conditions of global
exponential stability for impulsive systems are established, which is the basis for the fol-
lowing discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequal-
ity approach, some sufficient conditions of robust exponential stability for uncertain lin-
ear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given
to illustrate the applications of the theory.

Abstract:

By using the quasi-Lyapunov function, some sufficient conditions of global
exponential stability for impulsive systems are established, which is the basis for the fol-
lowing discussion. Then, by employing Riccati inequality and Hamilton-Jacobi inequal-
ity approach, some sufficient conditions of robust exponential stability for uncertain lin-
ear/nonlinear impulsive systems are derived, respectively. Finally, some examples are given
to illustrate the applications of the theory.

Key words: Uncertain impulsive system;interval matrix;Riccati/Hamilton-Jacobi in-
equality,
global exponential stability, robust global exponential stability

中图分类号: 

  • 34A37