Hamilton–Jacobi functional equations and differential games for neutral-type systems
- Авторы: Lukoyanov N.Y.1,2, Gomoyunov M.I.1,2, Plaksin A.R.1,2
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Учреждения:
- Krasovskii Institute of Mathematics and Mechanics, Ural Branch
- Ural Federal University
- Выпуск: Том 96, № 3 (2017)
- Страницы: 654-657
- Раздел: Control Theory
- URL: https://journals.rcsi.science/1064-5624/article/view/225441
- DOI: https://doi.org/10.1134/S1064562417060114
- ID: 225441
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Аннотация
The relation between a differential game for neutral-type systems and a Hamilton–Jacobi functional equation with coinvariant derivatives is established. The value functional of the game is proved to coincide with the minimax solution of this equation. Optimal strategies for the players are described.
Об авторах
N. Lukoyanov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Автор, ответственный за переписку.
Email: nyul@imm.uran.ru
Россия, Yekaterinburg, 620990; Yekaterinburg, 620002
M. Gomoyunov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Email: nyul@imm.uran.ru
Россия, Yekaterinburg, 620990; Yekaterinburg, 620002
A. Plaksin
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Email: nyul@imm.uran.ru
Россия, Yekaterinburg, 620990; Yekaterinburg, 620002
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