On the Existence of an Evasion Strategy in a Linear Differential Game with Integral Constraints

被引：0

作者：

Pansera, Bruno Antonio ^{[1
,2
]}

Ibragimov, Gafurjan ^{[3
,4
]}

Luckraz, Shravan ^{[5
,6
]}

机构：

[1] Univ Mediterranea Reggio Calabria, Dept Law Econ & Human Sci, Via Univ 25, I-89124 Reggio Di Calabria, Italy

[2] Univ Mediterranea Reggio Calabria, Decis Lab, Via Univ 25, I-89124 Reggio Di Calabria, Italy

[3] Uzbek Acad Sci, VI Romanovskiy Inst Math, Tashkent 100174, Uzbekistan

[4] Tashkent State Univ Econ, Dept Econometr, Tashkent 100066, Uzbekistan

[5] Univ Nottingham Ningbo China, Sch Econ, Ningbo, Peoples R China

[6] Univ Nottingham Ningbo China, CeDEx China, Ningbo, Peoples R China

来源：

DYNAMIC GAMES AND APPLICATIONS | 2025年

关键词：

Differential game theory; Pursuit-evasion; Linear differential equations; PURSUERS;

D O I：

10.1007/s13235-024-00613-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct an evasion strategy in a general evasion differential game, played on the Euclidean space, with one evader and any finite number of pursuers where the dynamics of the objects are given by a system of linear differential equations. Our construction of the evasion strategy is based on the ai-tau i\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$a_i - \tau _i$$\end{document} method. We show that if the evader can successfully implement this strategy, then it can win the game against all possible strategy choices of the pursuers.

引用

页数：16