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On the second-order optimality conditions for multi-objective optimal control problems with mixed pointwise constraints

Author

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  • Bui Trong Kien

    (Vietnam Academy of Science and Technology)

  • Trinh Duy Binh

    (Vietnam Academy of Science and Technology)

Abstract

In this paper, we derive second-order necessary optimality conditions and second-order sufficient optimality condition for locally Pareto solutions to a class of multi-objective optimal control problems with mixed pointwise constraints. The necessary optimality conditions for the multi-objective optimal control problem are established via optimality conditions of a specific vector optimization problem in Banach spaces, which is proved directly without using the scalarization method.

Suggested Citation

  • Bui Trong Kien & Trinh Duy Binh, 2023. "On the second-order optimality conditions for multi-objective optimal control problems with mixed pointwise constraints," Journal of Global Optimization, Springer, vol. 85(1), pages 155-183, January.
    • Handle: RePEc:spr:jglopt:v:85:y:2023:i:1:d:10.1007_s10898-022-01201-8
    DOI: 10.1007/s10898-022-01201-8
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    References listed on IDEAS

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    1. C. Kaya & Helmut Maurer, 2014. "A numerical method for nonconvex multi-objective optimal control problems," Computational Optimization and Applications, Springer, vol. 57(3), pages 685-702, April.
    2. Ning E. & Wen Song & Yu Zhang, 2012. "Second order sufficient optimality conditions in vector optimization," Journal of Global Optimization, Springer, vol. 54(3), pages 537-549, November.
    3. Bienvenido Jiménez & Vicente Novo, 2003. "Second order necessary conditions in set constrained differentiable vector optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 58(2), pages 299-317, November.
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