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Optimal Control of Systems Governed by Partial Differential Equations

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Product Code: 9783642650260
ISBN13: 9783642650260
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$139.06

Optimal Control of Systems Governed by Partial Differential Equations

$139.06
 
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-+


Author: Jacques Louis Lions
Publisher: Springer
Publication Date: Nov 12, 2011
Number of Pages: 400 pages
Binding: Paperback or Softback
ISBN-10: 3642650260
ISBN-13: 9783642650260
 

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