Finite-time boundedness and finite-time l2 gain analysis of discrete-time switched linear systems with average dwell time

被引：63
作者：
Lin, Xiangze [1 ,4 ]
Du, Haibo [2 ,3 ]
Li, Shihua [3 ]
Zou, Yun [4 ]
机构：
[1] Nanjing Agr Univ, Coll Engn, Jiangsu Key Lab Intelligent Agr Equipment, Nanjing 210031, Jiangsu, Peoples R China
[2] Hefei Univ Technol, Sch Elect Engn & Automat, Hefei 230009, Anhui, Peoples R China
[3] Southeast Univ, Sch Automat, Nanjing 210096, Jiangsu, Peoples R China
[4] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 04期
基金：
高等学校博士学科点专项科研基金;
关键词：
STABILITY; STABILIZATION; STABILIZABILITY; SUBJECT; DESIGN;
D O I：
10.1016/j.jfranklin.2013.01.018
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, finite-time boundedness and finite-time l(2) gain analysis for a class of discrete-time switched linear systems are investigated. Not only linear matrix inequality conditions for the system dynamics but also average dwell-time of switching signal is given to guarantee finite-time boundedness of discrete-time switched linear systems. Moreover, sufficient conditions which guarantee finite-time boundedness of discrete-time switched linear systems with a finite-time l(2) gain are also presented. Detail proofs are given by using multiple Lyapunov-like functions. A numerical example is employed to verify the efficiency of the proposed method. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：911 / 928
页数：18
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