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

页码：593 / 602

页数：10

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