DIAGONAL COMMON QUADRATIC LYAPUNOV FUNCTIONS FOR SETS OF POSITIVE LTI SYSTEMS

被引：6
|
作者：
Liu, Xiu [1 ]
Shu, Lan [2 ]
Ding, Xiuyong [1 ]
机构：
[1] Southwest Jiaotong Univ, Sch Math, Chengdu 611756, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
来源：
MISKOLC MATHEMATICAL NOTES | 2014年 / 15卷 / 02期
关键词：
positive linear systems; diagonal common quadratic Lyapunov functions; switched systems; STABILITY;
D O I：
10.18514/MMN.2014.367
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper focuses on the problems of a diagonal common quadratic Lyapunov function (DCQLF) existence for sets of stable positive linear time-invariant (LTI) systems. We derive the equivalent algebraic conditions to verify the existence of a DCQLF, namely that the finite number Hurwitz Mezler matrices at least have a common diagonal Stein solution. Finally some reduced cases are considered.
引用
收藏
页码：593 / 602
页数：10
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