On stabilizability of switched positive linear systems under state-dependent switching

被引：30

作者：

Ding, Xiuyong ^{[1
]}

Liu, Xiu ^{[1
]}

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 611756, Sichuan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 307卷

关键词：

Switched systems; Positive systems; State-dependent switching; Stabilizability; COPOSITIVE LYAPUNOV FUNCTIONS; STABILITY ANALYSIS; STABILIZATION; CRITERIA; DESIGN;

D O I：

10.1016/j.amc.2017.03.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses the stabilization of switched positive linear systems by state-dependent switching. We show that if there is a Hurwitz convex (or linear) combination of the coefficient matrices, then the switched positive linear system can be exponentially stabilized by means of a single linear co-positive Lyapunov function. If there is not a stable combination of system matrices, it is shown that the exponential stabilizability is equivalent to a completeness condition on the coefficient matrices. When the switched positive systems can not be stabilized by the single Lyapunov function, we provide a unified criterion for piecewise exponential stabilizability in terms of multiple linear co-positive Lyapunov functions. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：92 / 101

页数：10

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