Geodesic
Discrete linear control problem with the ring-shaped terminal set in the presence of noise
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2, Tome 186 (2020), pp. 102-107

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In this paper, we consider a discrete dynamic control system with noise. It is required that at the terminal moment of process the phase point is contained in a given ring-shaped set. We find the operator of program absorption, which allows one to formulate conditions for the set of initial positions that guarantee the fulfillment of the required inclusion at a given moment of time.
Keywords: discrete system, control problem, ring-shaped terminal set. 
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     author = {S. A. Nikitina and V. I. Ukhobotov},
     title = {Discrete linear control problem with the ring-shaped terminal set in the presence of noise},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {102--107},
     publisher = {mathdoc},
     volume = {186},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_186_a12/}
}
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S. A. Nikitina; V. I. Ukhobotov. Discrete linear control problem with the ring-shaped terminal set in the presence of noise. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M. T. Terekhin. Ryazan State University named for S. A. Yesenin, Ryazan, May 17-18, 2019. Part 2, Tome 186 (2020), pp. 102-107. http://geodesic.mathdoc.fr/item/INTO_2020_186_a12/