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dc.contributor.authorBonnel, Henri
dc.contributor.authorPham, N.
dc.date.accessioned2017-01-30T11:57:47Z
dc.date.available2017-01-30T11:57:47Z
dc.date.created2015-12-10T04:26:05Z
dc.date.issued2011
dc.identifier.citationBonnel, 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.urihttp://hdl.handle.net/20.500.11937/16786
dc.identifier.doi10.3934/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.titleNonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions
dc.typeJournal Article
dcterms.source.volume7
dcterms.source.number4
dcterms.source.startPage789
dcterms.source.endPage809
dcterms.source.issn1547-5816
dcterms.source.titleJournal of Industrial and Management Optimization
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access via publisher


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