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Please use this identifier to cite or link to this item: https://libeldoc.bsuir.by/handle/123456789/33124
Title: Non-degenerate maximum principle for optimal control problems with discontinuous right-hand side
Authors: Kostyukova, O. I.
Dudina, O. S.
Keywords: публикации ученых;optimal control;systems with discontinuous right-hand side;optimality conditions
Issue Date: 2020
Publisher: Taylor & Francis
Citation: Kostyukova, O. I. Non-degenerate maximum principle for optimal control problems with discontinuous right-hand side / O. I. Kostyukova, O. S. Dudina // Optimization. – 2020. – Volume 69, Issue 1. – P. 91–114
Abstract: In the paper, optimal control problems with discontinuous right-hand side are considered. The main attention is paid to situations when there are intervals where optimal trajectory lies on a switching surface. It is shown that for such a situation the known optimality conditions degenerate: they are satisfied for any feasible control. Hence such conditions are not informative. New non-degenerate necessary optimality conditions in a form of Maximum principle are formulated and proved. Comparison of the obtained optimality conditions with ones known from the literature is presented.
URI: https://libeldoc.bsuir.by/handle/123456789/33124
DOI: https://doi.org/10.1080/02331934.2018.1478972
Appears in Collections:Публикации в зарубежных изданиях

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