Necessary Optimality Conditions in Isoperimetric Constrained Optimal Control Problems

被引:4
|
作者
Urziceanu, Silviu-Aurelian [1 ]
机构
[1] Univ Politehn Bucuresti, Dept Appl Math, Bucharest 060042, Romania
来源
SYMMETRY-BASEL | 2019年 / 11卷 / 11期
关键词
isoperimetric-type constraints; optimal control; control Hamiltonian; variational differential system; symmetry; adjoint equation; ECONOMIC CHARACTERIZATION;
D O I
10.3390/sym11111380
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this paper, we focus on a new class of optimal control problems governed by a simple integral cost functional and isoperimetric-type constraints (constant level sets of some simple integral functionals). By using the notions of a variational differential system and adjoint equation, necessary optimality conditions are established for a feasible solution in the considered optimization problem. More precisely, under simplified hypotheses and using a modified Legendrian duality, we establish a maximum principle for the considered optimization problem.
引用
收藏
页数:8
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