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Necessary first and second order optimality conditions in a discrete optimal control problem

Necessary first and second order optimality conditions in a discrete optimal control problem An optimal control problem described by a system of two-dimensional nonlinear difference Volterra-type equations that are a discrete analogue of the two-dimensional integral Volterra equation is considered. The first and second variations of the quality functional are calculated assuming that the control domain is open. They are used to obtain an analogue of the Euler equation and to find the necessary second order optimality conditions that can be checked constructively. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Automatic Control and Computer Sciences Springer Journals

Necessary first and second order optimality conditions in a discrete optimal control problem

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Publisher
Springer Journals
Copyright
Copyright © 2013 by Allerton Press, Inc.
Subject
Computer Science; Control Structures and Microprogramming
ISSN
0146-4116
eISSN
1558-108X
DOI
10.3103/S0146411613010021
Publisher site
See Article on Publisher Site

Abstract

An optimal control problem described by a system of two-dimensional nonlinear difference Volterra-type equations that are a discrete analogue of the two-dimensional integral Volterra equation is considered. The first and second variations of the quality functional are calculated assuming that the control domain is open. They are used to obtain an analogue of the Euler equation and to find the necessary second order optimality conditions that can be checked constructively.

Journal

Automatic Control and Computer Sciences – Springer Journals

Published: Mar 7, 2013

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