Second-Order Optimality Conditions for Multiobjective Optimal Control Problems with Mixed Pointwise Constraints and Free Right End Point
https://doi.org/10.1137/19M1281770Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
In this paper, we derive first- and second-order necessary optimality conditions of Karush--Kuhn--Tucker type for H-locally weak solutions in the sense of Pareto of multiobjective optimal control problems with free right end point and free end-time and with mixed pointwise constraints. To deal with the problem, we first establish first- and second-order optimality conditions for a reduced problem with fixed end-time. We then obtain optimality conditions for the original problem.
Tags: first- and second-order optimality conditions; multiobjective optimal control problems; H-locally weak Pareto solution
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