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

Book 11 of 184: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge/A Series of Modern Surveys in Mathematics

Lions, Jacques Louis

 
9783642650260: Optimal Control of Systems Governed by Partial Differential Equations: 170 (Grundlehren der mathematischen Wissenschaften, 170)
Softcover
ISBN 10: 3642650260 ISBN 13: 9783642650260
Publisher: Springer, 2011

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-+

"synopsis" may belong to another edition of this title.

Publisher
Springer
Publication date
2011
Language
English
ISBN 10 
3642650260
ISBN 13 
9783642650260
Binding
Paperback
Number of pages
411

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9780387051154: Optimal Control of Systems Governed by Partial Differential Equations (Grundelhren Der Mathematishen Wissenschaften : Vol 170)

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