Optimal Control of Systems Governed by Partial Differential Equations (Grundlehren der mathematischen Wissenschaften (170))

Lions, Jacques Louis

ISBN 10: 3642650260 / ISBN 13: 9783642650260

Published by Springer, 2011

About this Item

Like New.

Seller Inventory # ERICA77336426502606

Bibliographic Details

• Title: Optimal Control of Systems Governed by Partial Differential Equations (Grundlehren der mathematischen Wissenschaften (170))
• Publisher: Springer
• Publication Date: 2011
• Language: English
• ISBN 10: 3642650260
• ISBN 13: 9783642650260
• Binding: Paperback
• Condition: Like New
• Book Type: book

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