On diagonal common quadratic Lyapunov functions for sets of homogeneous cooperative systems

被引：1

作者：

Ding, Xiuyong ^{[1
]}

Shu, Lan ^{[2
]}

Liu, Xiu

机构：

[1] Southwest Jiaotong Univ, Sch Math, Chengdu 610031, Sichuan, Peoples R China

[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China

来源：

AEQUATIONES MATHEMATICAE | 2013年 / 85卷 / 03期

关键词：

Homogeneous systems; cooperative systems; diagonal common quadratic Lyapunov functions; switched systems; STABILITY;

D O I：

10.1007/s00010-013-0202-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a class of switched homogeneous cooperative systems. We answer under what conditions there exists a diagonal common quadratic Lyapunov function (DCQLF) for sets of homogeneous cooperative systems. This problem is characterized by easily verifiable algebraic conditions. Namely, the existence of a DCQLF can be related to the properties of some determinants. Finally, some reduced results are presented.

引用

页码：231 / 241

页数：11

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