STRICTLY POSITIVE REAL MATRICES AND THE LEFSCHETZ-KALMAN-YAKUBOVICH LEMMA

被引：62

作者：

TAO, G

IOANNOU, PA

机构：

[1] Univ of Southern California, Los, Angeles, CA, USA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1988年 / 33卷 / 12期

关键词：

Mathematical Techniques--Matrix Algebra;

D O I：

10.1109/9.14449

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The authors give necessary and sufficient conditions in the frequency domain for rational matrices to be strictly positive real. Based on this result, the matrix form of the Lefschetz-Kalman-Yakubovich lemma is proved, which gives necessary and sufficient conditions for strictly positive real transfer matrices in the state-space realization form.

引用

页码：1183 / 1185

页数：3