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Optimal Control of Systems Governed by Partial Differential Equations

Optimal Control of Systems Governed by Partial Differential Equations

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Product Details
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

Overview

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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