State Constrained Optimal Control Problems: Regularization And Discretization

Cherednichenko, Svetlana; Cherednichenko, Svetlana

ISBN 10: 3639147170 / ISBN 13: 9783639147179

Published by Vdm Verlag Dr. Müller, 2009

120 pages. 8.66x5.91x0.28 inches. In Stock. Seller Inventory # __3639147170

Synopsis:

In recent years the interest in using mathematical models for describing technological processes has been growing in different branches of economy. Often, these models involve partial differential equations, where technical restrictions are expressed as inequality constraints. This work deals with constrained optimal control problems governed by partial differential equations. Solutions of such problems are usually approximated by sophisticated numerical methods, which require a discretization of the problem. In order to solve the discrete optimal control problem accurately, solutions should be validated by error estimates. Thus, efficient error estimates are crucial issues, since the reliability of numerical results can be expressed by corresponding convergence rates. Although theoretical and numerical foundations for control constrained problems are well studied, dealing with pure state constraints delivers certain difficulties on the analytical and computational sides. The work is addressed to mathematicians and engineers, working with constrained optimal control problems, in order to validate their numerical results and to find reasonable discretization.

About the Author: Doctoral Programme of Engineering Sciences: Studied Applied Mathematics at Johannes Kepler University of Linz, Austria.

Bibliographic Details

Title: State Constrained Optimal Control Problems: ...
Publisher: Vdm Verlag Dr. Müller
Publication Date: 2009
Binding: Paperback
Condition: Brand New