Premium
A necessary and sufficient condition of optimality for a class of multidimensional control problems
Author(s) -
Treanţă Savin
Publication year - 2020
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2645
Subject(s) - curvilinear coordinates , mathematics , class (philosophy) , equivalence (formal languages) , optimal control , partial differential equation , mathematical optimization , mathematical analysis , pure mathematics , computer science , geometry , artificial intelligence
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) of m ‐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.