Maximum principle in problems with mixed constraints under weak assumptions of regularity

Aram Vladimirovich Arutyunov, Dmitry Yu. Karamzin, Фернандо Лобо Перейра · Optimization · 2010

In the present work, optimal control problems with mixed constraints are investigated. A novel weakening of the conventional regularity assumptions on mixed constraints is introduced. A maximum principle is derived in which the maximum condition is of nonstandard type: the maximum is taken over the closure of the set of regular points, but not over the whole feasible set.

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