Bookcover of State Constrained Optimal Control Problems
Booktitle:

State Constrained Optimal Control Problems

Regularization and Discretization

VDM Verlag Dr. Müller (2009-07-22 )

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ISBN-13:

978-3-639-14717-9

ISBN-10:
3639147170
EAN:
9783639147179
Book language:
English
Blurb/Shorttext:
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.
Publishing house:
VDM Verlag Dr. Müller
Website:
http://www.vdm-verlag.de
By (author) :
Svetlana Cherednichenko
Number of pages:
120
Published at:
2009-07-22
Stock:
Available
Category:
Mathematics
Price:
49.00 €
Keywords:
Optimal control, state constraints, Regularization, Discretization, Inverse problems, partial differential equations, Lagrange multipliers, error estimates

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