A note on the necessary conditions for the algebraic Riccati equation

被引：2

作者：

Zhu, Yongliang ^{[1
]}

Pagilla, Prabhakar R. ^{[1
]}

机构：

[1] Oklahoma State Univ, Sch Mech & Aerosp Engn, Stillwater, OK 74078 USA

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2005年 / 22卷 / 02期

基金：

美国国家科学基金会;

关键词：

algebraic Ricatti equations (ARE); nonlinear systems; trace bounds;

D O I：

10.1093/imamci/dni017

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We derive some useful and easily computable necessary conditions for the existence of a positive semi-definite solution to the algebraic Ricatti equation (ARE). A motivating example is given to highlight the usefulness of the conditions for controller and observer designs for nonlinear systems. Further, an upper bound on the trace of the solution to the ARE is also derived.

引用

页码：181 / 186

页数：6

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