Control of a Discrete Dynamical System with Noise

被引：0
作者：
Ukhobotov V.I. [1 ]
Nikitina S.A. [1 ]
机构：
[1] Chelyabinsk State University, Chelyabinsk
来源：
Journal of Mathematical Sciences | 2022年 / 262卷 / 6期
关键词：
93C41; 93C55; discrete system; multi-step control problem; polyhedron of control values;
D O I：
10.1007/s10958-022-05866-0
中图分类号：
学科分类号：
摘要：
For a discrete dynamical control 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. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：869 / 877
页数：8
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