Comparison Principle and Stability of Discrete-Time Impulsive Hybrid Systems

被引：35
|
作者：
Liu, Bin [1 ]
Hill, David J. [1 ]
机构：
[1] Australian Natl Univ, Canberra, ACT 0200, Australia
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2009年 / 56卷 / 01期
基金：
澳大利亚研究理事会;
关键词：
Attractive region; comparison principle; discrete-time impulsive hybrid system; time-delay; uniform stability; ROBUST STABILITY; SYNCHRONIZATION; DELAY;
D O I：
10.1109/TCSI.2008.924897
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper studies discrete-time impulsive hybrid systems. The comparison principle and uniform stability are established for discrete-time impulsive hybrid systems and this kind of systems with time delay. Moreover, the attractive regions of these kinds of systems are estimated. As theoretical applications, the comparison principle is used to study the stability problem for linear interval discrete-time impulsive hybrid systems, a class of nonlinear uncertain discrete-time impulsive hybrid systems, and affine discrete-time impulsive hybrid systems with time delay. Some examples are given to illustrate the results.
引用
收藏
页码：233 / 245
页数：13
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