 Cybernetics and Systems Analysis /  Issue (2021, 57 (5))
Baranovska L.V.
Differential-difference games of approach with multiple delays Differential-difference games of approach with multiple delays are considered. The schemes of the method of resolving functions and the first direct Pontryagin’s method are developed. Sufficient conditions for the game completion are developed. For the first time in these games, new Cauchy formulas convenient for numerical implementations are used for systems with commuting matrices and systems with pure delay. © 2021, Springer Science+Business Media, LLC, part of Springer Nature. Keywords: conflict-controlled process, differential games, differential-difference games, Pontryagin’s first direct method, resolving function method, Conflict-controled process, Controlled process, Differential games, Differential-difference game, Direct method, Function methods, Multiple delays, Pontryagin’s first direct method, Resolving function method, Resolving functions, Game theory
Cite:
Baranovska L.V.
(2021). Differential-difference games of approach with multiple delays. Cybernetics and Systems Analysis, 57 (5), 132–142. doi: https://doi.org/10.1007/s10559-021-00403-4 http://jnas.nbuv.gov.ua/article/UJRN-0001268754 [In Ukrainian]. |
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