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This article is cited in 2 scientific papers (total in 2 papers)
Control of a discrete dynamic system with noise
V. I. Ukhobotov, S. A. Nikitina Chelyabinsk State University
Abstract:
For a discrete dynamic controlled system with noise, we consider the problem of retaining a phase point in a given family of sets at discrete instants of time. We analyze the case where the control vectogram is a polyhedron defined by a system of linear inequalities. We prove some properties of specific polyhedra satisfying the linearity condition, which allows us to obtain a condition of retention in the explicit form. Necessary and sufficient conditions for the possibility of retention are given. The results obtained are illustrated by an example.
Keywords:
discrete system, multi-step control problem, polyhedron of control values.
Citation:
V. I. Ukhobotov, S. A. Nikitina, “Control of a discrete dynamic system with noise”, Proceedings of the International Conference "Geometric Methods in Control Theory and Mathematical Physics" dedicated to the 70th anniversary of S.L. Atanasyan, the 70th anniversary of I.S. Krasilshchik, the 70th anniversary of A.V. Samokhin, and the 80th anniversary of V.T. Fomenko. S.A. Esenin Ryazan State University, Ryazan, September 25–28, 2018. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 168, VINITI, Moscow, 2019, 105–113
Linking options:
https://www.mathnet.ru/eng/into506 https://www.mathnet.ru/eng/into/v168/p105
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Abstract page: | 170 | Full-text PDF : | 84 | References: | 16 |
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