Abstract
Differential games with discontinuous dynamics and a fixed termination time are considered. The operators describing the structure of a game are determined under certain conditions. The results obtained are illustrated by a model example.
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References
A. M. Samoilenko and N. A. Perestyuk, Differential Equations with Impulse Excitation [in Russian], Vyshcha Shkola, Kiev (1987).
B. N. Pshenichnyi and V. V. Ostapenko, Differential Games [in Russian], Naukova Dumka, Kiev (1991).
L. S. Pontryagin, Selected Scientfic Works [in Russian], Nauka, Moscow (1988).
E. V. Ostapenko,“Operator constructions in games for discontinuous dynamic systems,” in: The Theory of Optimal Solutions, V. M. Glushkov Cybernetics Institute, Kiev (1999), pp. 14–18.
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Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 183–187, July–August, 2000.
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Ostapenko, Y.V. Game problems for systems with discontinuous dynamics. Cybern Syst Anal 36, 631–634 (2000). https://doi.org/10.1007/BF02667074
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DOI: https://doi.org/10.1007/BF02667074