KT‐pseudoinvex multidimensional control problem
Savin Treanţă, Manuel Arana‐Jiménez · Optimal Control Applications and Methods · 2018
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.