Approximate Synthesis of Distributed Optimal Control for Hyperbolic Equations with Rapidly Oscillating Coefficients


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We study the problem of finding approximations to the optimal control with respect to a quadratic-type quality criterion in the form of feedback (synthesis) for a linear-quadratic problem in the from of a hyperbolic equation with rapidly oscillating coefficients and distributed control on the right-hand side. On the basis of the exact formula of synthesis, its approximate version (based on the replacement of the rapidly oscillating variables by averaged quantities) is substantiated.

Sobre autores

O. Perehuda

Shevchenko Kyiv National University

Autor responsável pela correspondência
Email: perol@ukr.net
Ucrânia, Volodymys’ka Str., 64, Kyiv, 01601

A. Rusina

Shevchenko Kyiv National University

Email: perol@ukr.net
Ucrânia, Volodymys’ka Str., 64, Kyiv, 01601

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