Geodesic
On controllability and the pursuit problem for linear discrete systems
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 34 (2021) no. 1, pp. 57-62

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In this paper, it is considered linear discrete control and pursuit game problems. Control vectors are subjected to total constraints those are a discrete analogue of the integral constraints. Necessary and sufficient conditions of solvability of the 0-controllability problem are obtained. The connection between 0-controllability and solvability of the pursuit problem is studied.
Keywords: pursuit, evader, control, 0-controllability, game, strategy, integral constraint, discrete constraint. 
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     author = {Sotvoldiev},
     title = {On controllability and the pursuit problem for linear discrete systems},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {57--62},
     publisher = {mathdoc},
     volume = {34},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2021_34_1_a4/}
}
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Sotvoldiev. On controllability and the pursuit problem for linear discrete systems. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 34 (2021) no. 1, pp. 57-62. http://geodesic.mathdoc.fr/item/VKAM_2021_34_1_a4/