Stochastic Model of Optimal Dynamic Measurements

Authors

  • A. A. Zamyshlyaeva South Ural State University
  • A. V. Keller South Ural State University
  • M. B. Syropiatov South Ural State University

DOI:

https://doi.org/10.14529/mmp180212

Keywords:

stochastic problem, optimal dynamic measurement, cost functional.

Abstract

Under consideration is the stochastic model of optimal dynamic measurements. To solve this problem, the theory of optimal dynamic measurements which has actively been developing for the deterministic problems is extended to the stochastic case. The main purpose of the model is to restore a dynamically distorted input signal from a given observation using methods of the theory of dynamic measurements and the optimal control theory for Leontief type systems. Based on the results obtained by the authors earlier it is shown that optimal dynamic measurement as a minimum point of the cost functional doesn't depend on stochastic interference such as resonances in chains and random interference at the output of measuring transducer.

Author Biographies

A. A. Zamyshlyaeva, South Ural State University

Doctor of Physico-Mathematical Sciences, Docent

A. V. Keller, South Ural State University

Doctor  of Physico-Mathematical Sciences, Docent

M. B. Syropiatov, South Ural State University

Postgraduate

References

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Published

2018-06-23

Issue

Section

Short Notes