Quasi-Linear Differential-Deference Game of Approach

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dc.contributor.authorBaranovska, Lesia V.
dc.date.accessioned2020-03-24T09:19:25Z
dc.date.available2020-03-24T09:19:25Z
dc.date.issued2019
dc.descriptionThis is a post-peer-review, pre-copyedit version of a book chapter that is part of “V. A. Sadovnichiy, M. Z. Zgurovsky (eds.). Modern Mathematics and Mechanics. Understanding Complex Systems”. The final authenticated version is available online at: https://link.springer.com/chapter/10.1007/978-3-319-96755-4_26en
dc.description.abstractThe paper is devoted to the games of approach. We consider a controlled object whose dynamics is described by the linear differential system with a pure time delay or the differential-difference system with commutative matrices in Euclidean space. The approaches to the solutions of these problems are proposed which based on the Method of Resolving Functions and the First Direct Method of L.S. Pontryagin. The guaranteed times of the game termination are found, and corresponding control laws are constructed. The results are illustrated by a model example.en
dc.format.pagerangePp. 505-524en
dc.identifier.citationBaranovska L.V. (2019) Quasi-Linear Differential-Deference Game of Approach. In: Sadovnichiy V., Zgurovsky M. (eds) Modern Mathematics and Mechanics. Understanding Complex Systems. Springer, Cham, pp 505–524en
dc.identifier.doihttps://doi.org/10.1007/978-3-319-96755-4_26
dc.identifier.isbn978-3-319-96755-4 (online)
dc.identifier.isbn978-3-319-96754-7 (print)
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/32411
dc.language.isoenen
dc.publisherSpringeren
dc.publisher.placeChamen
dc.rights.holderSpringer International Publishing AG, part of Springer Nature 2019en
dc.sourceV. A. Sadovnichiy, M. Z. Zgurovsky (eds.). Modern Mathematics and Mechanics. Understanding Complex Systems book series (UCS). DOI: https://doi.org/10.1007/978-3-319-96755-4en
dc.subjectgames of approachen
dc.subjectdifferential-difference gamesen
dc.subjectcontrol theoryen
dc.subject.udc519.837en
dc.titleQuasi-Linear Differential-Deference Game of Approachen
dc.typeBook chapteren

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