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    Nonsmooth optimization over the (weakly or properly) Pareto set of a linear-quadratic multi-objective control problem: Explicit optimality conditions

    Access Status
    Open access via publisher
    Authors
    Bonnel, Henri
    Pham, N.
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    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.
    Source Title
    Journal of Industrial and Management Optimization
    DOI
    10.3934/jimo.2011.7.789
    ISSN
    1547-5816
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/16786
    Collection
    • Curtin Research Publications
    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.

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