A necessary and sufficient condition of optimality for a class of multidimensional control problems

被引：17
|
作者：
Treanta, Savin [1 ]
机构：
[1] Univ Politehn Bucuresti, Fac Appl Sci, Dept Appl Math, 313 Splaiul Independentei, Bucharest 060042, Romania
来源：
OPTIMAL CONTROL APPLICATIONS & METHODS | 2020年 / 41卷 / 06期
关键词：
b-KT-pseudoinvexity; Kuhn-Tucker point; optimal control;
D O I：
10.1002/oca.2645
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we introduce a necessary and sufficient condition of optimality for a new class of multidimensional optimal control problems governed by path-independent curvilinear integral functionals and mixed constraints involving first-order partial differential equations (PDEs) ofm-flow type. Furthermore, as a consequence, we establish the equivalence between the class of (strongly)b-invex functionals and the class of (strongly)b-pseudoinvex functionals. The mathematical development in the paper is supported by illustrative examples, as well.
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页码：2137 / 2148
页数：12
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