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.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
Javier F. Rosenblueth, "Uniqueness of Extremals for Problems with Endpoint and Control Constraints," WSEAS Transactions on Systems, vol. 18, pp. 164-168, 2019, DOI:
Javier F. Rosenblueth. Uniqueness of Extremals for Problems with Endpoint and Control Constraints.
WSEAS Transactions on Systems. 2019;18:164-168.