What question did this study set out to answer?

The research aims to establish the optimality conditions for multi-objective control problems within infinite-dimensional spaces.

February 5, 2026

Optimality conditions for a class of multi-objective control problems

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The study examines optimality conditions in multi-objective control problems, indicating new insights for complex systems.

The research aims to establish the optimality conditions for multi-objective control problems within infinite-dimensional spaces.
Investigated a class of abstract linear systems with leader and follower controls.
Searched for follower controls as Nash equilibria in the context of a control game.
Established first-order necessary conditions for optimization based on finite codimensionality.
Identified necessary conditions for solutions to specific optimization problems.
Applied findings to control problems involving wave equations and quasi-linear parabolic equations.

Dong et al. (2025) studied this question.

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