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

Bui Trong Kien () and Trinh Duy Binh ()
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Bui Trong Kien: Vietnam Academy of Science and Technology
Trinh Duy Binh: Vietnam Academy of Science and Technology

Journal of Global Optimization, 2023, vol. 85, issue 1, No 8, 155-183

Abstract: 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.

Keywords: First-and second-order optimality conditions; Vector optimization problem; Multi-objective optimal control problems; Pareto solution; The Robinson constraint qualification; 49K15; 90C29 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10898-022-01201-8

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