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Pré-Publication, Document De Travail Année : 2022

INFINITE-DIMENSIONAL MULTIOBJECTIVE OPTIMAL CONTROL IN CONTINUOUS TIME

Résumé

This paper studies multiobjective optimal control problems in the continuous-time framework when the space of states and the space of controls are infinite-dimensional and with lighter smoothness assumptions than the usual ones. The paper generalizes to the multiobjective case existing results for single-objective optimal control problems in that framework. The dynamics are governed by differential equations and a finite number of terminal equality and inequality constraints are present. Necessary conditions of Pareto optimality are provided namely Pontryagin maximum principles in the strong form. Sufficient conditions are also provided.
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Dates et versions

hal-03709371 , version 1 (30-06-2022)

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Naila Hayek, Hasan Yilmaz. INFINITE-DIMENSIONAL MULTIOBJECTIVE OPTIMAL CONTROL IN CONTINUOUS TIME. 2022. ⟨hal-03709371⟩
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