N. A. Manakova, A. G. Dylkov, “On one optimal control problem with a penalty functional in general form”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 4(25),Pages <nobr>18

This article is cited in 9 papers

Differential Equations

On one optimal control problem with a penalty functional in general form

N. A. Manakova^a, A. G. Dylkov^b

^a Dept. of Equations of Mathematical Physics, South Ural State University, Chelyabinsk
^b Dept. of Mathematical Analysis, Magnitogorsk State University, Magnitogorsk

Abstract: The sufficient conditions for the existence of optimal control over solutions of the initial-finish value problem for the linear equation with a penalty functional in general form are found.

Keywords: Sobolev type equation, optimal control, initial-finish value problem.

UDC: 517.977.57

MSC: Primary 49J20; Secondary 47N20, 46E35

Original article submitted 01/VII/2011
revision submitted – 24/VIII/2011

DOI: 10.14498/vsgtu978