Support majorants and feedback minimum principles for discrete optimal control problems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications" (DYSC 2023). Irkutsk, September 18-23, 2023, Tome 234 (2024), pp. 43-49

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Support conditions for two classes of problems are found: problems for which the discrete maximum principle is valid and for generalized solutions that are optimal in a convex problem with trajectories realized in the original formulation.
Keywords: necessary conditions, discrete minimum principle, feedback minimum principle, Hamilton–Jacobi inequality
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     title = {Support majorants and feedback minimum principles for discrete optimal control problems},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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V. A. Dykhta. Support majorants and feedback minimum principles for discrete optimal control problems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the 5th International Conference "Dynamical Systems and Computer Science: Theory and Applications" (DYSC 2023). Irkutsk, September 18-23, 2023, Tome 234 (2024), pp. 43-49. http://geodesic.mathdoc.fr/item/INTO_2024_234_a5/