OPTIMALITY CONDITIONS FOR COOPERATIVE PARABOLIC SYSTEMS GOVERNED BY SCHRÖDINGER OPERATORS WITH CONTROL CONSTRAINTS-Reference-Cited by-同舟云学术

OPTIMALITY CONDITIONS FOR COOPERATIVE PARABOLIC SYSTEMS GOVERNED BY SCHRÖDINGER OPERATORS WITH CONTROL CONSTRAINTS

Published:2008-06 Issue:02 Volume:01 Page:131-146
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Bahaa G. M.¹

Affiliation:

1. Mathematics Department, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt

Abstract

A distributed control problem for cooperative parabolic systems governed by Schrödinger operator is considered. The performance index is more general than the quadratic one and has an integral form. Constraints on controls are imposed. Making use of the Dubovitskii-Milyutin Theorem given by Walczak (1984, On some control problems Acta Univ. Lod. Folia Math., 1, 187-196), the optimality conditions are derived for the Neumann problem. Finally, several mathematical examples for derived optimality conditions are presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179355710800014X

Reference25 articles.

1. Quadratic Pareto optimal control of parabolic equation with state-control constraints and an infinite number of variables

2. Time-optimal control problem for parabolic equations with control constraints and infinite number of variables

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