The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system
This paper analyses the properties of the solutions of the generalized continuous algebraic Riccati equation from a geometric perspective. This analysis reveals the presence of a subspace that may provide an appropriate degree of freedom to stabilize the system in the related optimal control problem...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
Taylor & Francis
2019
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| Online Access: | http://hdl.handle.net/20.500.11937/68078 |
| _version_ | 1848761737013100544 |
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| author | Ntogramatzidis, Lorenzo Ferrante, A. |
| author_facet | Ntogramatzidis, Lorenzo Ferrante, A. |
| author_sort | Ntogramatzidis, Lorenzo |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper analyses the properties of the solutions of the generalized continuous algebraic Riccati equation from a geometric perspective. This analysis reveals the presence of a subspace that may provide an appropriate degree of freedom to stabilize the system in the related optimal control problem even in cases where the Riccati equation does not admit a stabilizing solution. |
| first_indexed | 2025-11-14T10:36:25Z |
| format | Journal Article |
| id | curtin-20.500.11937-68078 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:36:25Z |
| publishDate | 2019 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-680782019-01-31T07:27:02Z The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system Ntogramatzidis, Lorenzo Ferrante, A. This paper analyses the properties of the solutions of the generalized continuous algebraic Riccati equation from a geometric perspective. This analysis reveals the presence of a subspace that may provide an appropriate degree of freedom to stabilize the system in the related optimal control problem even in cases where the Riccati equation does not admit a stabilizing solution. 2019 Journal Article http://hdl.handle.net/20.500.11937/68078 10.1080/03081087.2017.1415292 Taylor & Francis restricted |
| spellingShingle | Ntogramatzidis, Lorenzo Ferrante, A. The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system |
| title | The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system |
| title_full | The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system |
| title_fullStr | The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system |
| title_full_unstemmed | The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system |
| title_short | The geometry of the generalized algebraic Riccati equation and of the singular Hamiltonian system |
| title_sort | geometry of the generalized algebraic riccati equation and of the singular hamiltonian system |
| url | http://hdl.handle.net/20.500.11937/68078 |