Geodesic
Singular optimal controls in the distributed problems and Volterra functional-operator equations
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 128-129 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is showed that for a broad class of distributed optimization problems a sufficiently typical condition is strong degeneration of the singular controls, when together with a first-order necessary optimality conditions (for example, maximum principle) a second-order necessary optimality conditions also degenerates. It is described a general conclusion scheme of necessary optimality conditions for strong degenerated singular controls.
Keywords: distributed optimization problems, necessary optimality conditions, singular controls, strong degeneration, Volterra functional-operator equations. 
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V. I. Sumin. Singular optimal controls in the distributed problems and Volterra functional-operator equations. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 1 (2012), pp. 128-129. http://geodesic.mathdoc.fr/item/IIMI_2012_1_a61/

[1] Gabasov R., Kirillova F.M., Osobye optimalnye upravleniya, Nauka, M., 1973, 256 pp.

[2] Sumin V.I., “Silnoe vyrozhdenie osobykh upravlenii v raspredelennykh zadachakh optimizatsii”, DAN SSSR, 320:2 (1991), 295–299 | Zbl

[3] Sumin V.I., “Ob osobykh upravleniyakh potochechnogo printsipa maksimuma v raspredelennykh zadachakh optimizatsii”, Vestnik Udmurtskogo universiteta. Matematika. Mekhanika. Kompyuternye nauki, 2010, no. 3, 70–80

[4] Sumin V.I., Funktsionalnye volterrovy uravneniya v teorii optimalnogo upravleniya raspredelennymi sistemami, Izd-vo NNGU, N. Novgorod, 1992, 110 pp.