Hamilton–Jacobi functional equations and differential games for neutral-type systems
- Авторлар: Lukoyanov N.Y.1,2, Gomoyunov M.I.1,2, Plaksin A.R.1,2
-
Мекемелер:
- Krasovskii Institute of Mathematics and Mechanics, Ural Branch
- Ural Federal University
- Шығарылым: Том 96, № 3 (2017)
- Беттер: 654-657
- Бөлім: Control Theory
- URL: https://journals.rcsi.science/1064-5624/article/view/225441
- DOI: https://doi.org/10.1134/S1064562417060114
- ID: 225441
Дәйексөз келтіру
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.
Авторлар туралы
N. Lukoyanov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Хат алмасуға жауапты Автор.
Email: nyul@imm.uran.ru
Ресей, Yekaterinburg, 620990; Yekaterinburg, 620002
M. Gomoyunov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Email: nyul@imm.uran.ru
Ресей, Yekaterinburg, 620990; Yekaterinburg, 620002
A. Plaksin
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Email: nyul@imm.uran.ru
Ресей, Yekaterinburg, 620990; Yekaterinburg, 620002
Қосымша файлдар
