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Galerkin method for optimal control of second-order evolution equations

✍ Scribed by Anna Dȩbińska-Nagórska; Andrzej Just; Zdzisaw Stempień

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
104 KB
Volume
27
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper presents the Galerkin approximation of the optimization problem of a system governed by non‐linear second‐order evolution equation where a non‐linear operator depends on derivative of the state of the system. The control is acting on a non‐linear equation. After giving some results on the existence of optimal control we shall prove the existence of the weak and strong condensation points of a set of solutions of the approximate optimization problems. Each of these points is a solution of the initial optimization problem. Finally we shall give a simple example using the obtained results. Copyright © 2004 John Wiley & Sons, Ltd.

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