Hamiltonian necessary conditions for a multiobjective optimal control problem with endpoint constraints

被引：45
|
作者：
Zhu, QJJ [1 ]
机构：
[1] Western Michigan Univ, Dept Math & Stat, Kalamazoo, MI 49008 USA
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 39卷 / 01期
关键词：
multiobjective optimal control; Hamiltonian necessary conditions; differential inclusions; preferences; utility function; subdifferential calculus; variational principles;
D O I：
10.1137/S0363012999350821
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper discusses Hamiltonian necessary conditions for nonsmooth multiobjective optimal control problem with endpoint constraints involving general preference. The transversality condition in our necessary conditions is stated in terms of normal cones to the level sets of the preference. Examples involving a number of useful preferences are discussed.
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页码：97 / 112
页数：16
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