Title :
Robust Stability of Uncertain Discrete Impulsive Systems
Author :
Liu, Bin ; Liu, Xinzhi
Author_Institution :
Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan
fDate :
5/1/2007 12:00:00 AM
Abstract :
This brief studies uncertain discrete impulsive systems. The robustly asymptotical stability criteria are established for linear discrete impulsive system and a class of uncertain nonlinear discrete impulsive systems, respectively. These stability criteria are expressed in terms of fairly simple algebraic conditions so that they are easy to be tested. Some examples are given to illustrate results obtained by us
Keywords :
Lyapunov matrix equations; asymptotic stability; discrete systems; linear systems; nonlinear systems; uncertain systems; Lyapunov function; linear discrete impulsive system; robust stability; robustly asymptotical stability; stability criteria; uncertain discrete impulsive systems; Asymptotic stability; Biological neural networks; Biological system modeling; Displays; Lyapunov method; Robust stability; Robustness; Stability criteria; Testing; Uncertainty; Discrete impulsive system; Lyapunov function; robustly asymptotical stability; uncertainty;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2007.892395
