Hamilton–Jacobi functional equations and differential games for neutral-type systems
- 作者: Lukoyanov N.Y.1,2, Gomoyunov M.I.1,2, Plaksin A.R.1,2
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隶属关系:
- Krasovskii Institute of Mathematics and Mechanics, Ural Branch
- Ural Federal University
- 期: 卷 96, 编号 3 (2017)
- 页面: 654-657
- 栏目: 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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详细
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.
作者简介
N. Lukoyanov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
编辑信件的主要联系方式.
Email: nyul@imm.uran.ru
俄罗斯联邦, Yekaterinburg, 620990; Yekaterinburg, 620002
M. Gomoyunov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Email: nyul@imm.uran.ru
俄罗斯联邦, Yekaterinburg, 620990; Yekaterinburg, 620002
A. Plaksin
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Email: nyul@imm.uran.ru
俄罗斯联邦, Yekaterinburg, 620990; Yekaterinburg, 620002
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