Pursuit and Evasion Games for an Infinite System of Differential Equations

Autor:	Nurzeehan Ismail, Mehdi Salimi, Idham Arif Alias, Gafurjan Ibragimov, Massimiliano Ferrara
Rok vydání:	2021
Předmět:	symbols.namesake System of differential equations Differential equation General Mathematics Control (management) Differential game Hilbert space symbols Applied mathematics Pursuer State (functional analysis) Evasion (ethics) Mathematics
Zdroj:	Bulletin of the Malaysian Mathematical Sciences Society. 45:69-81
ISSN:	2180-4206 0126-6705
DOI:	10.1007/s40840-021-01176-x
Popis:	In this paper we study a linear pursuit differential game described by an infinite system of first-order differential equations in Hilbert space. The control functions of players are subject to geometric constraints. The pursuer attempts to bring the state of system from a given initial state to the origin for a finite time and the evader’s purpose is opposite. We obtain a formula for the guaranteed pursuit time and construct a strategy for pursuer. Also, we obtain a formula for the guaranteed evasion time.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e15ef255a5e33dfdcafe98975dd63952 https://doi.org/10.1007/s40840-021-01176-x Zobrazit plný text záznamu Full text from SpringerLink