Geodesic
On controllability and the pursuit problem for linear discrete systems
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 34 (2021) no. 1, pp. 57-62 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

[1] Demidovich B. P., Lectures on the Mathematical Theory of Stability, Nauka, Moscow, 1967 | MR

[2] Nikolskii M. S., “The Direct Method in Linear Differential Games with Integral Constraints”, Controlled Systems, 1969, no. 2, 49-59 | MR

[3] Gabasov R., Kirillova F., Qualitative Theory of Optimal Processes, Nauka,, Moscow, 1971 | MR | Zbl

[4] Lee E. B., Marcus L., Foundations of Optimal Control Theory, Nauka, Moscow, 1972 | MR | Zbl

[5] Pontryagin L. S., Boltyanskii V. G., Gamkrelidze R. B., Mishchenko E. F., The Mathematical Theory of Optimal Processes, Nauka, Moscow, 1976 | MR

[6] Subbotin A. I., Chentsov A. G., Optimization of Guarantee in Control Problems, Nauka, Moscow, 1981 | MR

[7] Krasovskii N. N., Control of a Dynamical System, Nauka, Moscow, 1985 | MR

[8] Sirotin A. N., Formalskii A. M., “Reachability and Controllability Sets of Linear Discrete Systems”, Izv. Ross. Akad. Nauk, Teor. Sist. Upr., 2002, no. 4, 5-16 | MR

[9] Ibragimov G. I., “Problems of linear discrete games of pursuit”, Math. Notes, 77:5 (2005), 653-662 | DOI | MR | Zbl

[10] Azamov A. A., Kuchkarov A. Sh. “On controllability and pursuit problems in linear discrete systems”, J. Comput. Sys. Sc. Int., 49:3 (2010), 360-365 | DOI | MR | Zbl