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Matematicheskaya Teoriya Igr i Ee Prilozheniya, 2024, Volume 16, Issue 4, Pages 45–68 (Mi mgta357)  
Differential pursuit games of neutral type with integral restrictions on player controls

Numanjon A. Mamadalievab, Hamdam Ya. Mustapokulovb, Muhammadsodiq M. Abdumannopovb

a National University of Uzbekistan Institute of Mathmatics, Uzbekistan Akademy of Science
b National University of Uzbekistan
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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.
Keywords: differential games, the pursuit problem, differential-difference equations of neutral type, pursuer, evader, controls.
Received: 14.01.2024
Revised: 17.04.2024
Accepted: 01.12.2024
Document Type: Article
UDC: 517.97
BBC: 22.18
Language: Russian
Citation: Numanjon A. Mamadaliev, Hamdam Ya. Mustapokulov, Muhammadsodiq M. Abdumannopov, “Differential pursuit games of neutral type with integral restrictions on player controls”, Mat. Teor. Igr Pril., 16:4 (2024), 45–68
Citation in format AMSBIB
\Bibitem{MamMusAbd24}
\by Numanjon~A.~Mamadaliev, Hamdam~Ya.~Mustapokulov, Muhammadsodiq~M.~Abdumannopov
\paper Differential pursuit games of neutral type with integral restrictions on player controls
\jour Mat. Teor. Igr Pril.
\yr 2024
\vol 16
\issue 4
\pages 45--68
\mathnet{http://mi.mathnet.ru/mgta357}
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