Quasi-Linear Differential-Deference Game of Approach
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Дата
2019
Автори
Науковий керівник
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Видавець
Springer
Анотація
The 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.
Опис
This 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_26
Ключові слова
games of approach, differential-difference games, control theory
Бібліографічний опис
Baranovska 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 505–524