AUTHORS: Javier F. Rosenblueth

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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.

KEYWORDS: Optimal control, uniqueness of Lagrange multipliers, normality, constraint qualifications

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