Optimal Control of Systems Governed by Partial Differential Equations

Jacques Louis Lions

ISBN 10: 3642650260 / ISBN 13: 9783642650260

Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2011

About this Item

Softcover reprint of the original 1st ed. 1971.

Seller Inventory # LU-9783642650260

Bibliographic Details

• Title: Optimal Control of Systems Governed by Partial Differential Equations
• Publisher: Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE
• Publication Date: 2011
• Language: English
• ISBN 10: 3642650260
• ISBN 13: 9783642650260
• Binding: Paperback
• Condition: New
• Dimensions: 15.49W x 2.39H x 23.5D centimeters 15.49 centimeters width by 2.39 centimeters height by 23.5 centimeters depth
• Weight: 581 grams

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-+

Language Notes

Text: German