Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions
| dc.contributor.author | Ferrante, A. | |
| dc.contributor.author | Ntogramatzidis, Lorenzo | |
| dc.date.accessioned | 2017-01-30T11:49:09Z | |
| dc.date.available | 2017-01-30T11:49:09Z | |
| dc.date.created | 2016-05-10T19:30:16Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Ferrante, A. and Ntogramatzidis, L. 2016. Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions. Systems and Control Letters. 93: pp. 30-34. | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11937/15322 | |
| dc.identifier.doi | 10.1016/j.sysconle.2016.02.018 | |
| dc.description.abstract |
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. | |
| dc.publisher | Elsevier BV | |
| dc.title | Continuous-time singular linear-quadratic control: Necessary and sufficient conditions for the existence of regular solutions | |
| dc.type | Journal Article | |
| dcterms.source.volume | 93 | |
| dcterms.source.startPage | 30 | |
| dcterms.source.endPage | 34 | |
| dcterms.source.issn | 0167-6911 | |
| dcterms.source.title | Systems and Control Letters | |
| curtin.department | Department of Mathematics and Statistics | |
| curtin.accessStatus | Open access |