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.

引用

页码：2137 / 2148

页数：12

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