View Item 

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

Access Status
Open access
Authors
Date
2015
Type
Conference Paper

Metadata
Show full item record
Abstract

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.

Citation
Ferrante, A. and Ntogramatzidis, L. 2015. On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control, in Proceedings of the European Control Conference (ECC). Jul 15-17 2015, pp. 1813-1817. Linz: IEEE.
Source Title
2015 European Control Conference, ECC 2015
DOI
ISBN
School
Department of Mathematics and Statistics
Remarks

© 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

URI
Collection