Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions
The purpose of this paper is to provide a full understanding of the role that the constrained generalized continuous algebraic Riccati equation plays in singular linear-quadratic (LQ) optimal control. Indeed, in spite of the vast literature on LQ problems, only recently a sufficient condition for th...
| Main Authors: | , |
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| Format: | Journal Article |
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Elsevier BV
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/15322 |
| _version_ | 1848748862105190400 |
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| author | Ferrante, A. Ntogramatzidis, Lorenzo |
| author_facet | Ferrante, A. Ntogramatzidis, Lorenzo |
| author_sort | Ferrante, A. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The purpose of this paper is to provide a full understanding of the role that the constrained generalized continuous algebraic Riccati equation plays in singular linear-quadratic (LQ) optimal control. Indeed, in spite of the vast literature on LQ problems, only recently a sufficient condition for the existence of a non-impulsive optimal control has for the first time connected this equation with the singular LQ optimal control problem. In this paper, we establish four equivalent conditions providing a complete picture that connects the singular LQ problem with the constrained generalized continuous algebraic Riccati equation and with the geometric properties of the underlying system. |
| first_indexed | 2025-11-14T07:11:47Z |
| format | Journal Article |
| id | curtin-20.500.11937-15322 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:11:47Z |
| publishDate | 2016 |
| publisher | Elsevier BV |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-153222018-04-12T00:58:33Z Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions Ferrante, A. Ntogramatzidis, Lorenzo The purpose of this paper is to provide a full understanding of the role that the constrained generalized continuous algebraic Riccati equation plays in singular linear-quadratic (LQ) optimal control. Indeed, in spite of the vast literature on LQ problems, only recently a sufficient condition for the existence of a non-impulsive optimal control has for the first time connected this equation with the singular LQ optimal control problem. In this paper, we establish four equivalent conditions providing a complete picture that connects the singular LQ problem with the constrained generalized continuous algebraic Riccati equation and with the geometric properties of the underlying system. 2016 Journal Article http://hdl.handle.net/20.500.11937/15322 10.1016/j.sysconle.2016.02.018 Elsevier BV fulltext |
| spellingShingle | Ferrante, A. Ntogramatzidis, Lorenzo Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions |
| title | Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions |
| title_full | Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions |
| title_fullStr | Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions |
| title_full_unstemmed | Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions |
| title_short | Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions |
| title_sort | continuous-time singular linear-quadratic control: necessary and sufficient conditions for the existence of regular solutions |
| url | http://hdl.handle.net/20.500.11937/15322 |