Email this article Hamilton–Jacobi functional equations and differential games for neutral-type systems
- Authors: Lukoyanov N.Y.1,2, Gomoyunov M.I.1,2, Plaksin A.R.1,2
-
Affiliations:
- Krasovskii Institute of Mathematics and Mechanics, Ural Branch
- Ural Federal University
- Issue: Vol 96, No 3 (2017)
- Pages: 654-657
- Section: Control Theory
- URL: https://journals.rcsi.science/1064-5624/article/view/225441
- DOI: https://doi.org/10.1134/S1064562417060114
- ID: 225441
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
N. Yu. Lukoyanov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Author for correspondence.
Email: nyul@imm.uran.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620002
M. I. Gomoyunov
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Email: nyul@imm.uran.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620002
A. R. Plaksin
Krasovskii Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Email: nyul@imm.uran.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620002
Supplementary files
