Regularized sequential Pontryagin maximum principle in the convex optimal control with pointwise state constraints
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 130-133

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Pontryagin maximum principle in regularized sequential form for the convex optimal control with pointwise state constraints is discussed.
Keywords: convex optimal control, minimizing sequence, maximum principle, pointwise state constraints, duality, regularization.
M. I. Sumin. Regularized sequential Pontryagin maximum principle in the convex optimal control with pointwise state constraints. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 130-133. http://geodesic.mathdoc.fr/item/IIMI_2012_1_a62/
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[1] Vasilev F.P., Metody optimizatsii, Faktorial Press, M., 2002, 824 pp.

[2] Sumin M.I., Nekorrektnye zadachi i metody ikh resheniya, Materialy k lektsiyam dlya studentov starshikh kursov: Uchebnoe posobie, Izd-vo Nizhegorodskogo gosuniversiteta, Nizhnii Novgorod, 2009, 289 pp.

[3] Sumin M.I., “Parametricheskaya dvoistvennaya regulyarizatsiya dlya zadachi optimalnogo upravleniya s potochechnymi fazovymi ogranicheniyami”, Zhurn. vychisl. matem. i matem. fiz., 49:12 (2009), 2083–2102 | MR

[4] Sumin M.I., “Parametricheskaya dvoistvennaya regulyarizatsiya i teorema Kuna–Takkera”, Vestnik Tambovskogo universiteta. Ser.: Estestvennye i tekhnicheskie nauki, 16:1 (2011), 77-89

[5] Sumin M.I., “Regulyarizovannaya parametricheskaya teorema Kuna–Takkera v gilbertovom prostranstve”, Zhurn. vychisl. matem. i matem. fiz., 51:9 (2011), 1594–1615 | MR

[6] Sumin M.I., “Regulyarizatsiya v lineino vypukloi zadache matematicheskogo programmirovaniya na osnove teorii dvoistvennosti”, Zhurn. vychisl. matem. i matem. fiz., 47:4 (2007), 602–625 | MR | Zbl