多目标优化控制问题可行解的存在性
Existence of the Feasible Solutions for Multiobjective Optimal Control Problems
摘要:
本文主要考虑在欧式空间中,控制集合是一般可分度量空间的情况下,初始和终端状态满足等式和不等式约束的多目标优化控制问题。讨论其可行解的存在条件,并用不动点定理证明。
Abstract:
In this paper, we are devoted to considering the existence of the feasible solutions for multiobjective optimal control problems on Euclidean space, where the endpoints satisfy some equality and inequality type constraints, and the control set is a separable metric space. And we prove it with the fixed point theorem.
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