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Title of Article

PROPERTIES OF PERMUTATION AND QUASI-PERMUTATION STRATEGIES OF DISCRETE CONTROL SYSTEMS


Issue
2
Date
2014

Article type
scientific article
UDC
519.21
Pages
190-197
Keywords
control system, probabilistic model, permutation distributions, sample space, extremal risk function, permutation strategy, quasi-permutation strategy


Authors
Fedotkin M.A.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
As a rule, it is possible to construct an adequate probabilistic model (W, ?, P(?))for a statistically stable experiment (control system) Э only in simple cases. To solve this problem for the experiment Э of a complex structure, an approach has been suggested in [1] which is based on a parametric set U with elements u and a family {(W, ?, P u (?)): u ? U } of probabilistic models. A difficult optimization problem arises here: to choose by some criterion from the family {(W, ?, P u (?)): u ? U } in some cases, an adequate model for the experiment Э, and, in other cases, a target model for this experiment [2?-4]. Using notation and results from [1], the article considers the problem for a class of permutation and quasi-permutation strategies.

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