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KT‐pseudoinvex multidimensional control problem
Author(s) -
Treanţă Savin,
AranaJiménez Manuel
Publication year - 2018
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.2410
Subject(s) - multidimensional systems , control (management) , point (geometry) , mathematical optimization , optimal control , mathematics , computer science , artificial intelligence , mathematical analysis , geometry
Summary In this paper, we define a Kuhn‐Tucker (KT)–pseudoinvex multidimensional control problem. More exactly, we introduce a new condition on the functions, which are involved in a multidimensional control problem, and we prove that a KT‐pseudoinvex multidimensional control problem is characterized such that a KT point is an optimal solution. Thus, we generalize optimality results in known mathematical programming problems. These theoretical results are illustrated with an application.