On a discrete optimal control problem with an explicit solution

V.N. Malozemov; A.V. Omelchenko

doi:10.3934/jimo.2006.2.55

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2006, Volume 2, Issue 1: 55-62. Doi: 10.3934/jimo.2006.2.55

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On a discrete optimal control problem with an explicit solution

V.N. Malozemov^1, and
A.V. Omelchenko^1,

1.
Faculty of Mathematics and Mechanics, St.Petersburg State University, Universitetskii pr. 28, Petrodvorets, 198504

Received: May 2004

Revised: November 2005

Published: January 2006

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Abstract

A two-dimensional discrete optimal control problem is considered. In this problem it is required that the first component admits the given value and the second component attains the largest value at the last step. The explicit solution of this problem is obtained under some assumptions.

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Mathematics Subject Classification: 49JXX, 76NXX.

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