Mathematical Control Theory

Optimal control of states for a nonstationary model in the relatively radial case

A. N. Shulepov, M. A. Sagadeeva

South Ural State University

Abstract: In this paper we prove the existence of a unique optimal and hard control over solutions of Showalter–Sidorov problem for the nonstationary model, which is described by Sobolev type equations. In this case, one of the operators in the equation is multiplied by a scalar function of the time-variable, besides stationary equation has a strong continuous degenerate resolving semigroup of operators.

Keywords: optimal control, nonstationary Sobolev type equations, relatively radial case.

UDC: 517.9
BBK: 78.34

Received: May 29, 2015
Published: May 31, 2016

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