Robust stability of positive continuous time systems

被引:116
作者
Son, NK
Hinrichsen, D
机构
[1] INST MATH, HANOI 10000, VIETNAM
[2] UNIV BREMEN, INST DYNAM SYST, D-28334 BREMEN, GERMANY
关键词
positive system; Metzler matrices; stability radius;
D O I
10.1080/01630569608816716
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note a simple formula for the real stability radius of uncertain positive linear continuous time systems is established and it is shown that the real stability radius coincides with the complex one. Arbitrary disturbance norms induced by monotonic vector norms (e.g, p-norms, 1 less than or equal to p less than or equal to infinity) are considered. The distance of intervals of positive systems from instability is also determined.
引用
收藏
页码:649 / 659
页数:11
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