Optimal Control of Systems Governed by Partial Differential Equations (Grundelhren Der Mathematishen Wissenschaften : Vol 170)
ISBN-13:
9780387051154
ISBN-10:
0387051155
Author:
Jacques-Louis Lions
Publication date:
1971
Publisher:
Springer Verlag
Format:
Hardcover
275 pages
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Book details
ISBN-13:
9780387051154
ISBN-10:
0387051155
Author:
Jacques-Louis Lions
Publication date:
1971
Publisher:
Springer Verlag
Format:
Hardcover
275 pages
Summary
Optimal Control of Systems Governed by Partial Differential Equations (Grundelhren Der Mathematishen Wissenschaften : Vol 170) (ISBN-13: 9780387051154 and ISBN-10: 0387051155), written by authors
Jacques-Louis Lions, was published by Springer Verlag in 1971.
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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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