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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2012, Issue 1(39), Pages 128–129
(Mi iimi62)
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Singular optimal controls in the distributed problems and Volterra functional-operator equations
V. I. Sumin N. I. Lobachevski State University of Nizhni Novgorod
Abstract:
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.
Received: 15.02.2012
Citation:
V. I. Sumin, “Singular optimal controls in the distributed problems and Volterra functional-operator equations”, Izv. IMI UdGU, 2012, no. 1(39), 128–129
Linking options:
https://www.mathnet.ru/eng/iimi62 https://www.mathnet.ru/eng/iimi/y2012/i1/p128
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Abstract page: | 232 | Full-text PDF : | 83 | References: | 34 |
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