论文标题
连续时间的无限多尺寸最佳控制
Infinite-dimensional multiobjective optimal control in continuous time
论文作者
论文摘要
本文研究了连续时间框架中的多主体最佳控制问题，当时状态空间和控制空间是无限维度的，并且具有比通常的假设较轻。该论文将其概括为多目标案例的现有结果，用于该框架中的单目标最佳控制问题。动力学由微分方程控制，并且存在有限数量的终端平等和不平等约束。提供了帕累托最优性的必要条件，即以强形式以最大原则为条件。还提供了足够的条件。
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.
