On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control
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 u...
| Main Authors: | , |
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| Format: | Conference Paper |
| Published: |
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/28481 |
| _version_ | 1848752548983341056 |
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| author | Ferrante, Augusto Ntogramatzidis, Lorenzo |
| author_facet | Ferrante, Augusto Ntogramatzidis, Lorenzo |
| author_sort | Ferrante, Augusto |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T08:10:23Z |
| format | Conference Paper |
| id | curtin-20.500.11937-28481 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:10:23Z |
| publishDate | 2015 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-284812017-09-13T15:34:25Z On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control Ferrante, Augusto Ntogramatzidis, Lorenzo 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. 2015 Conference Paper http://hdl.handle.net/20.500.11937/28481 10.1109/ECC.2015.7330801 fulltext |
| spellingShingle | Ferrante, Augusto Ntogramatzidis, Lorenzo On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control |
| title | On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control |
| title_full | On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control |
| title_fullStr | On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control |
| title_full_unstemmed | On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control |
| title_short | On the geometry of the continuous-time generalized algebraic Riccati equation arising in LQ optimal control |
| title_sort | on the geometry of the continuous-time generalized algebraic riccati equation arising in lq optimal control |
| url | http://hdl.handle.net/20.500.11937/28481 |