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DOI: 10.23952/cot.2026.40
Received May 11, 2025; Accepted August 27, 2025; Published online May 19, 2026
Abstract. Goh and Legendre-Clebsch necessary conditions for optimal controls of affine-control systems are usually established under the hypothesis that the minimizing control lies in the interior of the control set U. In this paper, we investigate the possibility of establishing Goh and Legendre-Clebsch necessary conditions without this assumption, so that even control sets with empty interiors or optimal controls touching the boundary of U can be taken into consideration.
How to Cite this Article:
F. Angrisani, F. Rampazzo, Higher order necessary conditions for optimal controls not ranging in the interior, Commun. Optim. Theory 2026 (2026) 40.