Geodesic
Differential pursuit games of neutral type with integral restrictions on player controls
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 16 (2024) no. 4, pp. 45-68

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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. 
@article{MGTA_2024_16_4_a2,
     author = {Numanjon A. Mamadaliev and Hamdam Ya. Mustapokulov and Muhammadsodiq M. Abdumannopov},
     title = {Differential pursuit games of neutral type with integral restrictions on player controls},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {45--68},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2024_16_4_a2/}
}
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Numanjon A. Mamadaliev; Hamdam Ya. Mustapokulov; Muhammadsodiq M. Abdumannopov. Differential pursuit games of neutral type with integral restrictions on player controls. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 16 (2024) no. 4, pp. 45-68. http://geodesic.mathdoc.fr/item/MGTA_2024_16_4_a2/