Enviar artigo por via de e-mail Hamilton–Jacobi functional equations and differential games for neutral-type systems
- Autores: Lukoyanov N.Y.1,2, Gomoyunov M.I.1,2, Plaksin A.R.1,2
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Afiliações:
- Krasovskii Institute of Mathematics and Mechanics, Ural Branch
- Ural Federal University
- Edição: Volume 96, Nº 3 (2017)
- Páginas: 654-657
- Seção: 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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Resumo
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.
Sobre autores
N. Lukoyanov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Autor responsável pela correspondência
Email: nyul@imm.uran.ru
Rússia, Yekaterinburg, 620990; Yekaterinburg, 620002
M. Gomoyunov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Email: nyul@imm.uran.ru
Rússia, Yekaterinburg, 620990; Yekaterinburg, 620002
A. Plaksin
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Email: nyul@imm.uran.ru
Rússia, Yekaterinburg, 620990; Yekaterinburg, 620002
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