A necessary and sufficient condition of optimality for a class of multidimensional control problems. (23rd July 2020)

• Record Type: Journal Article
• Authors: Treanţă, Savin
• Other Names: Yuan Shuai guestEditor.; Wan Yimin guestEditor.; Zhang Lixian guestEditor.; Baldi Simone guestEditor.
• Is Part Of: Optimal control applications and methods. Volume 41:Number 6(2020)
• Page Start: 2137
• Page End: 2148
• Publication Date: 2020-07-23
• Subjects: b‐KT‐pseudoinvexity -- Kuhn‐Tucker point -- optimal control; Control theory -- Periodicals; Mathematical optimization -- Periodicals; 629.8312
• DOI: 10.1002/oca.2645
• Languages: English
• ISSNs: 0143-2087

Abstract

Abstract: 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.