Stability and Stabilizability of Continuous-Time Linear Compartmental Switched Systems

被引：15

作者：

Valcher, Maria Elena ^{[1
]}

Zorzan, Irene ^{[1
]}

机构：

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

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 12期

关键词：

Compartmental systems; positive systems; stability and stabilizability; switched systems; COPOSITIVE LYAPUNOV FUNCTIONS; POSITIVE SYSTEMS; INVARIANCE-PRINCIPLE; HYBRID SYSTEMS; STABILIZATION; REACHABILITY; CRITERIA; CONTROLLABILITY; MATRIX; PAIR;

D O I：

10.1109/TAC.2016.2525016

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 introduce continuous-time linear compartmental switched systems and investigate their stability and stabilizability properties. By their nature, these systems are always stable. Necessary and sufficient conditions for asymptotic stability for arbitrary switching functions, and sufficient conditions for asymptotic stability under certain dwell-time conditions on the switching functions are proposed. Finally, stabilizability is thoroughly investigated and proved to be equivalent to the existence of a Hurwitz convex combination of the subsystem matrices, a condition that, for positive switched systems, is only sufficient for stabilizability.

引用

页码：3885 / 3897

页数：13

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