9783642650260-3642650260-Optimal Control of Systems Governed by Partial Differential Equations (Grundlehren der mathematischen Wissenschaften (170))

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

ISBN-13: 9783642650260
ISBN-10: 3642650260
Edition: Softcover reprint of the original 1st ed. 1971
Author: Lions, Jacques Louis
Publication date: 2011
Publisher: Springer
Format: Paperback 411 pages
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Book details

ISBN-13: 9783642650260
ISBN-10: 3642650260
Edition: Softcover reprint of the original 1st ed. 1971
Author: Lions, Jacques Louis
Publication date: 2011
Publisher: Springer
Format: Paperback 411 pages

Summary

Acknowledged authors Lions, Jacques Louis wrote Optimal Control of Systems Governed by Partial Differential Equations (Grundlehren der mathematischen Wissenschaften (170)) comprising 411 pages back in 2011. Textbook and eTextbook are published under ISBN 3642650260 and 9783642650260. Since then Optimal Control of Systems Governed by Partial Differential Equations (Grundlehren der mathematischen Wissenschaften (170)) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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-+

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