Geodesic
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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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/

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[2] Dykhta V. A., “O mnozhestve neobkhodimykh uslovii optimalnosti s pozitsionnymi upravleniyami, porozhdennom slabo ubyvayuschimi resheniyami neravenstva Gamiltona"– Yakobi spuska v zadachakh optimalnogo upravleniya”, Tr. In-ta mat. mekh. UrO RAN., 28:3 (2022), 83–93 | MR

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[4] Dykhta V. A., Sorokin S., “Feedback minimum principle for optimal control problems in discrete-time systems and its applications”, Lect. Notes Comp. Sci., 11548 (2019), 449–460 | DOI | MR | Zbl