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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 143, Pages 24–39
(Mi into260)
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This article is cited in 3 scientific papers (total in 3 papers)
Linear differential pursuit game with impulse control and linear integral constraint of controls of players
M. Tukhtasinov National University of Uzbekistan named after M. Ulugbek, Tashkent
Abstract:
For a linear differential pursuit-evasion game, we propose sufficient termination conditions in the case where one of players applies impulse
controls whereas the other applies controls with “linear constraints” of integral type. We indicate methods for finding controls of the pursuer
that provide termination of the pursuit in a finite time. Finally, we give examples that illustrate the results obtained.
Keywords:
resolving function, impulse control, pursuit, pursuer, evader, linear constraint, terminal set, admissible control, Dirac function.
Citation:
M. Tukhtasinov, “Linear differential pursuit game with impulse control and linear integral constraint of controls of players”, Differential equations. Mathematical analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 143, VINITI, M., 2017, 24–39; Journal of Mathematical Sciences, 245:1 (2020), 23–29
Linking options:
https://www.mathnet.ru/eng/into260 https://www.mathnet.ru/eng/into/v143/p24
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Statistics & downloads: |
Abstract page: | 251 | Full-text PDF : | 62 | First page: | 30 |
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