Stabilization of planar discrete-time switched systems: Switched Lyapunov functional approach

被引：11
|
作者：
Sun, Yuan Gong [1 ,2 ]
Wang, Long [2 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Peoples R China
[2] Peking Univ, Coll Engn, Ctr Syst & Control, Beijing 100871, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2008年 / 2卷 / 04期
关键词：
Discrete-time switched system; Stabilization; Switched quadratic Lyapunov function; Necessary and sufficient condition;
D O I：
10.1016/j.nahs.2008.09.004
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, we investigate the problem of stabilization for single-input planar discrete-time switched systems by establishing necessary and/or sufficient conditions for the existence of switched quadratic Lyapunov functions of the closed-loop system. The results given in terms of a series of matrix inequalities generalize those results in our recent paper [Y.G. Sun, L Wang, G. Xie, Necessary and sufficient conditions for stabilization of discrete-time planar switched systems, Nonlinear Anal.: Theory and Methods 65 (2006) 1039-1049] and clearly describe the set of switched quadratic Lyapunov functions for the system. (C) 2008 Published by Elsevier Ltd
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页码：1062 / 1068
页数：7
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