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

This issue Previous Article On finite-dimensional generalized variational inequalities Next Article Optimal control for resource allocation in discrete event systems

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: April 30, 2004

Revised: October 31, 2005

Published: December 2005

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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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