WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 18, 2019
Uniqueness of Extremals for Problems with Endpoint and Control Constraints
Author:
Abstract: In this paper we study the uniqueness of extremals satisfying first order necessary conditions for optimal control problems involving endpoint and control constraints. In particular we show that, for such problems, a strict Mangasarian-Fromovitz type constraint qualification does imply uniqueness of Lagrange multipliers but, contrary to the corresponding equivalence in mathematical programming, the converse in optimal control may not hold.