Optimal Control of Systems Governed by Partial Differential Equations. Translated by Dr. S. K. Mitter.

Lions, J. L.

ISBN 10: 3540051155 / ISBN 13: 9783540051152

Published by Berlin / Heidelberg / New York, Springer-Verlag, 1971

About this Item

24 × 16 cm, hardcover with dust jacket, xii, 396, (4) pages, text in English, very good/ fine condition, see picture. Volume 170 in the series Die Grundlehren der mathematischen Wissenschaften. Standard monograph introducing modern methods of optimal control theory applied to PDEs, originally published in French. ISBN Berlin 3-540-05115-5 ISBN New York 0-387-05115-5. 760g.

Seller Inventory # 80633

Bibliographic Details

• Title: Optimal Control of Systems Governed by Partial Differential Equations. Translated by Dr. S. K. Mitter.
• Publisher: Berlin / Heidelberg / New York, Springer-Verlag
• Publication Date: 1971
• Language: English
• ISBN 10: 3540051155
• ISBN 13: 9783540051152
• Binding: Hardcover
• Dust Jacket Condition: Dust Jacket Included
• Weight: 760 grams
• Seller catalogs:
  • Wiskunde

About this title

Synopsis

1. The development of a theory of optimal control (deterministic) requires the following initial data: (i) a control u belonging to some set ilIi ad (the set of 'admissible controls') which is at our disposition, (ii) for a given control u, the state y(u) of the system which is to be controlled is given by the solution of an equation (*) Ay(u)=given function ofu where A is an operator (assumed known) which specifies the system to be controlled (A is the 'model' of the system), (iii) the observation z(u) which is a function of y(u) (assumed to be known exactly; we consider only deterministic problems in this book), (iv) the "cost function" J(u) ("economic function") which is defined in terms of a numerical function z-+