Differential pursuit games of neutral type with integral restrictions on player controls

  • Numanjon A. Mamadaliyev National University of Uzbekistan, Institute of Mathmatics of the Uzbekistan Akademy of Science
  • Нуманжон А. Мамадалиев National University of Uzbekistan, Institute of Mathmatics of the Uzbekistan Akademy of Science
  • Hamdam Ya. Mustapokulovpov National University of Uzbekistan
  • Хамдам Я. Мустапокулов National University of Uzbekistan
  • Muhammadsodiq M. Abdumannopov National University of Uzbekistan
  • Мухаммадсодик М. Абдуманнопов National University of Uzbekistan
DOI: https://doi.org/10.17076/mgta_2024_4_84
Keywords: differential games, the pursuit problem, differential-difference equations of neutral type, pursuer, evader, controls

Abstract

In this paper, we study linear differential games described by a system of linear differential-difference equations of neutral type under integral constraints on the controls of the players. We obtain new sufficient conditions on parameters of the process guaranteeing finishing the game in a definite finite time.

Published
2024-12-06
How to Cite
Mamadaliyev, N., Мамадалиев, Н., Mustapokulovpov, H., Мустапокулов, Х., Abdumannopov, M., & Абдуманнопов, М. (2024). Differential pursuit games of neutral type with integral restrictions on player controls. Mathematical Game Theory and Applications, 16(4), 45-68. https://doi.org/10.17076/mgta_2024_4_84
Issue
Vol 16 No 4 (2024): Mathematical game theory and applications
Section
Статьи
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