عنوان

Applied Optimal Control Theory of Distributed Systems

(Number (ISBN

9781475792621

(Number (ISBN

9781475792645

Number

b403909

Title Proper

Applied Optimal Control Theory of Distributed Systems

General Material Designation

[Book]

First Statement of Responsibility

by K. A. Lurie.

Place of Publication, Distribution, etc.

Boston, MA :

Name of Publisher, Distributor, etc.

Imprint: Springer,

Date of Publication, Distribution, etc.

1993.

Series Title

Mathematical Concepts and Methods in Science and Engineering ;

Volume Designation

43

Text of Note

1. Introduction -- 2. The Mayer-Bolza Problem for Several Independent Variables: Necessary Conditions for a Minimum -- 3. Optimal Distribution of the Resistivity of the Working Medium in the Channel of a Magnetohydrodynamic Generator -- 4. Relaxation of Optimization Problems with Equations Containing the Operator ? · ? · ?: An Application to the Problem of Elastic Torsion -- 5. Relaxation of Some Problems in the Optimal Design of Plates -- 6. Optimal Control of Systems Described by Equations of Hyperbolic Type -- 7. Parabolic and Other Evolution Optimization Problems -- 8. Bellman's Method in Variational Problems with Partial Derivatives -- Appendix A: Calculations and Comments -- Appendix B: Remarks and Guide to the Literature -- References.

0

Text of Note

This book represents an extended and substantially revised version of my earlierbook, Optimal Control in Problems ofMathematical Physics,originally published in Russian in 1975. About 60% of the text has been completely revised and major additions have been included which have produced a practically new text. My aim was to modernize the presentation but also to preserve the original results, some of which are little known to a Western reader. The idea of composites, which is the core of the modern theory of optimization, was initiated in the early seventies. The reader will find here its implementation in the problem of optimal conductivity distribution in an MHD-generatorchannel flow.Sincethen it has emergedinto an extensive theory which is undergoing a continuous development. The book does not pretend to be a textbook, neither does it offer a systematic presentation of the theory. Rather, it reflects a concept which I consider as fundamental in the modern approach to optimization of dis tributed systems. Bibliographical notes,though extensive, do not pretend to be exhaustive as well. My thanks are due to ProfessorJean-Louis Armand and ProfessorWolf Stadler whose friendly assistance in translating and polishing the text was so valuable. I am indebted to Mrs. Kathleen Durand and Mrs. Colleen Lewis for the hard job of typing large portions of the manuscript.

International Standard Book Number

9781475792645

Title

Springer eBooks

Physics.

Lurie, K. A.

SpringerLink (Online service)

Date of Transaction

20190301074100.0

Electronic name

[Book]

Y