On the Equivalence Between Strict Positive Realness and Strict Passivity of Linear Systems

被引：9

作者：

Madeira, Diego de S. ^{[1
]}

Adamy, Juergen ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Inst Automat Control & Mechatron, Control Methods & Robot Lab, D-64283 Darmstadt, Germany

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2016年 / 61卷 / 10期

关键词：

Linear systems; strict passivity; strict positive realness;

D O I：

10.1109/TAC.2015.2506993

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This technical note presents a proof of the equivalence between the strict passivity of linear time-invariant (LTI) controllable and observable systems and the strict positive realness of their transfer function matrices, where the direct feedthrough D is possibly a non-zero matrix. Although both properties guarantee asymptotic stability, the former is a time domain condition and the latter is a frequency domain concept. A numerical example illustrates our main results.

引用

页码：3091 / 3095

页数：5

共 23 条

[1]

Adamy J., 2014, Nichtlineare Systeme und Regelungen

[2] CONDITIONS FOR POSITIVE AND NONNEGATIVE DEFINITENESS IN TERMS OF PSEUDOINVERSES [J].