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

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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.

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Acknowledgements

This research was supported by Vietnam Academy of Science and Technology under Grant Number CTTH00.01/22-23.

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  1. Department of Optimization and Control Theory, Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet road, Hanoi, Vietnam

    Bui Trong Kien & Trinh Duy Binh

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  1. Bui Trong Kien
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  2. Trinh Duy Binh
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Correspondence to Bui Trong Kien.

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Kien, B.T., Binh, T.D. On the second-order optimality conditions for multi-objective optimal control problems with mixed pointwise constraints. J Glob Optim 85, 155–183 (2023). https://doi.org/10.1007/s10898-022-01201-8

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  • DOI: https://doi.org/10.1007/s10898-022-01201-8

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