Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions
dc.contributor.author | Bonnel, Henri | |
dc.contributor.author | Pham, N. | |
dc.date.accessioned | 2017-01-30T11:57:47Z | |
dc.date.available | 2017-01-30T11:57:47Z | |
dc.date.created | 2015-12-10T04:26:05Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Bonnel, H. and Pham, N. 2011. Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions. Journal of Industrial and Management Optimization. 7 (4): pp. 789-809. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/16786 | |
dc.identifier.doi | 10.3934/jimo.2011.7.789 | |
dc.description.abstract |
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. | |
dc.title | Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions | |
dc.type | Journal Article | |
dcterms.source.volume | 7 | |
dcterms.source.number | 4 | |
dcterms.source.startPage | 789 | |
dcterms.source.endPage | 809 | |
dcterms.source.issn | 1547-5816 | |
dcterms.source.title | Journal of Industrial and Management Optimization | |
curtin.department | Department of Mathematics and Statistics | |
curtin.accessStatus | Open access via publisher |
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