A Pursuit Game in a Closed Convex Set on a Euclidean Space

• Published in: Differential equations and dynamical systems Vol. 32; no. 4; pp. 1215 - 1224
• Main Authors: Badakaya, Abbas Ja’afaru, Abdullahi, Hassan, Salimi, Mehdi
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.10.2024; Springer Nature B.V
• Subjects: Computer Science; Convexity; Differential equations; Differential games; Engineering; Euclidean geometry; Mathematics; Mathematics and Statistics; Original Research; Players; Pursuit-evasion games; Pursuit-evasion game; Pursuer; Convex set; Evader; Coordinate-wise integral constraint
• ISSN: 0971-3514; 0974-6870
• DOI: 10.1007/s12591-022-00621-y

This paper studies a pursuit differential game in a closed convex subset of the Euclidean space R n . Players of the game consist of finite number of pursuers chasing to catch a single evader both of which moves according to certain first order differential equation. The differential equations invol...