Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions
We present explicit optimality conditions for a nonsmooth functional dened over the (properly or weakly) Pareto set associated with a multiobjective linear-quadratic control problem. This problem is very dicult even in anite dimensional setting, i.e. when, instead of a control problem, we deal with...
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| Format: | Journal Article |
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2011
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| Online Access: | http://hdl.handle.net/20.500.11937/16786 |
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curtin-20.500.11937-16786 |
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eprints |
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curtin-20.500.11937-167862017-09-13T15:42:03Z Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions Bonnel, Henri Pham, N. We present explicit optimality conditions for a nonsmooth functional dened over the (properly or weakly) Pareto set associated with a multiobjective linear-quadratic control problem. This problem is very dicult even in anite dimensional setting, i.e. when, instead of a control problem, we deal with a mathematical programming problem. Amongst various applications, our problem may be considered as a response for a decision maker when he has to choose a solution over the solution set of the grand coalition p-player cooperative differential game. 2011 Journal Article http://hdl.handle.net/20.500.11937/16786 10.3934/jimo.2011.7.789 unknown |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Curtin University Malaysia |
| building |
Curtin Institutional Repository |
| collection |
Online Access |
| description |
We present explicit optimality conditions for a nonsmooth functional dened over the (properly or weakly) Pareto set associated with a multiobjective linear-quadratic control problem. This problem is very dicult even in anite dimensional setting, i.e. when, instead of a control problem, we deal with a mathematical programming problem. Amongst various applications, our problem may be considered as a response for a decision maker when he has to choose a solution over the solution set of the grand coalition p-player cooperative differential game. |
| format |
Journal Article |
| author |
Bonnel, Henri Pham, N. |
| spellingShingle |
Bonnel, Henri Pham, N. Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions |
| author_facet |
Bonnel, Henri Pham, N. |
| author_sort |
Bonnel, Henri |
| title |
Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions |
| title_short |
Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions |
| title_full |
Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions |
| title_fullStr |
Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions |
| title_full_unstemmed |
Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions |
| title_sort |
nonsmooth optimization over the (weakly or properly) pareto set of a linear-quadratic multi-objective control problem: explicit optimality conditions |
| publishDate |
2011 |
| url |
http://hdl.handle.net/20.500.11937/16786 |
| first_indexed |
2018-09-06T19:38:31Z |
| last_indexed |
2018-09-06T19:38:31Z |
| _version_ |
1610888208880500736 |