On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control

被引：0

作者：

Ferrante, Augusto ^{[1
]}

Ntogramatzidis, Lorenzo ^{[2
]}

机构：

[1] Univ Padua, Dipartimento Ingn Informaz, Via Gradenigo 6-B, I-35131 Padua, Italy

[2] Curtin Univ, Dept Math & Stat, Perth, WA, Australia

来源：

2015 EUROPEAN CONTROL CONFERENCE (ECC) | 2015年

关键词：

CHEAP;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we analyze the properties of the set of solutions of the generalized continuous algebraic Riccati equation from a geometric perspective. In particular, we study the relationship existing between the solutions of the generalized Riccati equation and the output-nulling subspaces of the underlying system. This analysis reveals the presence of a subspace that plays an important role in the solution of the related optimal control problem.

引用

页码：1813 / 1817

页数：5

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