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
收藏
页码：231 / 241
页数：11
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