Asymptotic stability and stabilizability of special classes of discrete-time positive switched systems

被引：20

作者：

Fornasini, Ettore ^{[1
]}

Valcher, Maria Elena ^{[1
]}

机构：

[1] Univ Padua, Dip Ingn Informaz, I-35131 Padua, Italy

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 04期

关键词：

Switched system; Positive linear system; (Global uniform) asymptotic stability; Stabilizability; Monomial matrix; Circulant matrix; COPOSITIVE LYAPUNOV FUNCTIONS; JUMP LINEAR-SYSTEMS; FINITENESS CONJECTURE; STABILIZATION; MATRICES; SET;

D O I：

10.1016/j.laa.2011.08.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider discrete-time positive switched systems, switching among autonomous subsystems, characterized either by monomial matrices or by circulant matrices. Necessary and sufficient conditions are provided guaranteeing either (global uniform) asymptotic stability or stabilizability (i.e. the possibility of driving to zero the state trajectory corresponding to any initial state by resorting to some switching sequence). Such conditions lead to simple algorithms that allow to easily detect, under suitable conditions, whether a given positive switched system is not stabilizable. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：1814 / 1831

页数：18

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