Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems
We present optimality conditions for bilevel optimal control problems where the upper level is a scalar optimal control problem to be solved by a leader and the lower level is a multiobjective convex optimal control problem to be solved by several followers acting in a cooperative way inside the gre...
| Main Authors: | , |
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| Format: | Conference Paper |
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Springer New York LLC
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/11729 |
| _version_ | 1848747883625447424 |
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| author | Bonnel, Henri Morgan, J. |
| author_facet | Bonnel, Henri Morgan, J. |
| author_sort | Bonnel, Henri |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We present optimality conditions for bilevel optimal control problems where the upper level is a scalar optimal control problem to be solved by a leader and the lower level is a multiobjective convex optimal control problem to be solved by several followers acting in a cooperative way inside the greatest coalition and choosing amongst efficient optimal controls. We deal with the so-called optimistic case, when the followers are assumed to choose the best choice for the leader amongst their best responses, as well with the so-called pessimistic case, when the best response chosen by the followers can be the worst choice for the leader. This paper continues the research initiated in Bonnel (SIAM J. Control Optim. 50(6), 3224-3241, 2012) where existence results for these problems have been obtained. © Springer Science+Business Media New York 2013. |
| first_indexed | 2025-11-14T06:56:14Z |
| format | Conference Paper |
| id | curtin-20.500.11937-11729 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:56:14Z |
| publishDate | 2013 |
| publisher | Springer New York LLC |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-117292017-09-13T14:56:51Z Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems Bonnel, Henri Morgan, J. We present optimality conditions for bilevel optimal control problems where the upper level is a scalar optimal control problem to be solved by a leader and the lower level is a multiobjective convex optimal control problem to be solved by several followers acting in a cooperative way inside the greatest coalition and choosing amongst efficient optimal controls. We deal with the so-called optimistic case, when the followers are assumed to choose the best choice for the leader amongst their best responses, as well with the so-called pessimistic case, when the best response chosen by the followers can be the worst choice for the leader. This paper continues the research initiated in Bonnel (SIAM J. Control Optim. 50(6), 3224-3241, 2012) where existence results for these problems have been obtained. © Springer Science+Business Media New York 2013. 2013 Conference Paper http://hdl.handle.net/20.500.11937/11729 10.1007/978-1-4614-7621-4_4 Springer New York LLC restricted |
| spellingShingle | Bonnel, Henri Morgan, J. Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems |
| title | Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems |
| title_full | Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems |
| title_fullStr | Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems |
| title_full_unstemmed | Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems |
| title_short | Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems |
| title_sort | optimality conditions for semivectorial bilevel convex optimal control problems |
| url | http://hdl.handle.net/20.500.11937/11729 |