STRUCTURAL STABILITY FOR RICCATI EQUATION

被引：12

作者：

BUCY, RS

机构：

[1] UNIV SO CALIF,AEROSP ENGN DEPT,LOS ANGELES,CA 90007

[2] LAB AUTOMATIQUE TOULOUSE,TOULOUSE,FRANCE

来源：

SIAM JOURNAL ON CONTROL | 1975年 / 13卷 / 04期

关键词：

D O I：

10.1137/0313043

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 matrix Riccati equation is considered with respect to changes in the phase portrait induced by continuously differential deformations of the coefficient matrices. Necessary and sufficient conditions are given which characterize structural stability of an equilibrium. Further examples of birth, death and coalescence of equilibria are given. These results are useful in control theory.

引用

页码：749 / 753

页数：5