State Constrained Optimal Control Problems: Regularization and Discretization - Softcover

Cherednichenko, Svetlana

Softcover

ISBN 10: 3639147170 ISBN 13: 9783639147179

Publisher: VDM Verlag, 2009

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 this title

About the Author

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

Edition details

• Publisher: VDM Verlag
• Publication date: 2009
• Language: English
• ISBN 10: 3639147170
• ISBN 13: 9783639147179
• Binding: Paperback
• Number of pages: 120