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Optimal Control of Systems Governed by Partial Differential Equations by Jacques Louis Lions

Optimal Control of Systems Governed by Partial Differential Equations

by Jacques Louis Lions
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Book cover type: Paperback
  • ISBN13: 9783642650260
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 400
  • Original Price: EUR 119.99
  • Language: English
  • Edition: Softcover Repri
  • Item Weight: 625 grams
  • BISAC Subject(s): General and Robotics

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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