Second order analysis of control-affine problems with scalar state constraint
In this article we establish new second order necessary and sufficient optimality conditions for a class of control-affine problems with a scalar control and a scalar state constraint. These optimality conditions extend to the constrained state framework the Goh transform, which is the classical too...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/41752 |
| _version_ | 1848756231042236416 |
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| author | Aronna, M. Bonnans, J. Goh, Bean San |
| author_facet | Aronna, M. Bonnans, J. Goh, Bean San |
| author_sort | Aronna, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this article we establish new second order necessary and sufficient optimality conditions for a class of control-affine problems with a scalar control and a scalar state constraint. These optimality conditions extend to the constrained state framework the Goh transform, which is the classical tool for obtaining an extension of the Legendre condition. |
| first_indexed | 2025-11-14T09:08:54Z |
| format | Journal Article |
| id | curtin-20.500.11937-41752 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:08:54Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-417522018-03-29T09:07:33Z Second order analysis of control-affine problems with scalar state constraint Aronna, M. Bonnans, J. Goh, Bean San In this article we establish new second order necessary and sufficient optimality conditions for a class of control-affine problems with a scalar control and a scalar state constraint. These optimality conditions extend to the constrained state framework the Goh transform, which is the classical tool for obtaining an extension of the Legendre condition. 2016 Journal Article http://hdl.handle.net/20.500.11937/41752 10.1007/s10107-015-0976-0 restricted |
| spellingShingle | Aronna, M. Bonnans, J. Goh, Bean San Second order analysis of control-affine problems with scalar state constraint |
| title | Second order analysis of control-affine problems with scalar state constraint |
| title_full | Second order analysis of control-affine problems with scalar state constraint |
| title_fullStr | Second order analysis of control-affine problems with scalar state constraint |
| title_full_unstemmed | Second order analysis of control-affine problems with scalar state constraint |
| title_short | Second order analysis of control-affine problems with scalar state constraint |
| title_sort | second order analysis of control-affine problems with scalar state constraint |
| url | http://hdl.handle.net/20.500.11937/41752 |