CONSTANT SOLUTIONS OF POLYNOMIAL EQUATIONS

被引：38

作者：

KUCERA, V

ZAGALAK, P

机构：

[1] Institute of information theory and automation, Czechoslovak academy of sciences, prague

来源：

INTERNATIONAL JOURNAL OF CONTROL | 1991年 / 53卷 / 02期

关键词：

D O I：

10.1080/00207179108953630

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A necessary and sufficient condition is given for the equation AX + BY = C in polynomial matrices to have constant solution pair X, Y and also for X to be non-singular. A sufficient condition is then established under which the equation with A and B fixed has a constant solution for each C from a given class. Applications to the construction of static state feedback or static output injection in linear systems are discussed.

引用

页码：495 / 502

页数：8

共 8 条

[1]

DZIURLA B, 1987, 26TH P IEEE CDD NEW, P1125

[2]

KACZOREK T, 1986, B POLISH ACADEMY SCI, V34, P553

[3]

KUCERA V, 1981, KYBERNETIKA, V17, P118

[4] NEW RESULTS IN STATE ESTIMATION AND REGULATION [J].