Abstract:
In the works of S. M. Aseev, A. V. Kryazhimskii, V. M. Veliov, the boundary value problem for equations of the Pontryagin Maximum Principle was suggested. Each of the optimal pair (control, trajectory) corresponds to a unique solution of this boundary value problem. This work is devoted to the study of similar transversality conditions without any assumptions on the discount rate.
Keywords:optimal control, infinite horizon problem, transversality condition for infinity, necessary conditions of optimality, Lagrange multipliers.
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