Geodesic
Linear Differential Pursuit Games with Integral Constraints in the Presence of Delay
Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 750-760.

Voir la notice de l'article provenant de la source Math-Net.Ru

Problems involving linear differential pursuit games were studied by many authors; their work served as a basis for studying pursuit problems in linear differential games with integral constraints. In the present paper, we obtain sufficient conditions for the solvability of linear pursuit problems with integral constraints on the control of the players in the presence of delay.
Keywords: linear differential pursuit games, delay differential equation, admissible control, measurable vector function, quarry, pursuer. 
@article{MZM_2012_91_5_a10,
     author = {N. Mamadaliev},
     title = {Linear {Differential} {Pursuit} {Games} with {Integral} {Constraints} in the {Presence} of {Delay}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {750--760},
     publisher = {mathdoc},
     volume = {91},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a10/}
}
TY  - JOUR
AU  - N. Mamadaliev
TI  - Linear Differential Pursuit Games with Integral Constraints in the Presence of Delay
JO  - Matematičeskie zametki
PY  - 2012
SP  - 750
EP  - 760
VL  - 91
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a10/
LA  - ru
ID  - MZM_2012_91_5_a10
ER  - 
%0 Journal Article
%A N. Mamadaliev
%T Linear Differential Pursuit Games with Integral Constraints in the Presence of Delay
%J Matematičeskie zametki
%D 2012
%P 750-760
%V 91
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a10/
%G ru
%F MZM_2012_91_5_a10
N. Mamadaliev. Linear Differential Pursuit Games with Integral Constraints in the Presence of Delay. Matematičeskie zametki, Tome 91 (2012) no. 5, pp. 750-760. http://geodesic.mathdoc.fr/item/MZM_2012_91_5_a10/

[1] R. Bellman, K. Kuk, Differentsialno-raznostnye uravneniya, Nauka, M., 1967 | MR | Zbl

[2] L. S. Pontryagin, Izbrannye nauchnye trudy. T. 2. Differentsialnye uravneniya. Teoriya operatorov. Optimalnoe upravlenie. Differentsialnye igry, Nauka, M., 1988 | MR | Zbl

[3] Dzh. Varga, Optimalnoe upravlenie differentsialnymi i funktsionalnymi uravneniyami, Nauka, M., 1977 | MR | Zbl

[4] N. L. Grigorenko, Matematicheskie metody upravleniya neskolkimi dinamicheskimi protsessami, Izd-vo Mosk. un-ta, M., 1990

[5] N. V. Tsvetkova, Lineinaya igra presledovaniya s geometricheskimi i integralnymi ogranicheniyami, Dep. v VINITI No 51-60, 1981

[6] A. A. Chikrii, G. Ts. Chikrii, “Gruppovoe presledovanie v differentsialno-raznostnykh igrakh”, Differents. uravneniya, 20:5 (1984), 802–810 | MR | Zbl

[7] M. S. Nikolskii, “Lineinye differentsialnye igry presledovaniya pri nalichii zapazdyvanii”, Differents. uravneniya, 8:2 (1972), 260–267 | MR | Zbl

[8] E. S. Polovinkin, “Struktura differentsialnykh igr, opisyvaemykh uravneniyami s zapazdyvayuschim argumentom”, Kibernetika, 6 (1981), 87–89