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-+
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Grundlehren der mathematischen Wissenschaften, 170 |
Release date: |
November 2011 |
First published: |
1971 |
Translators: |
Sanjog K. Mitter
|
Authors: |
Jacques-Louis Lions
|
Dimensions: |
235 x 155 x 21mm (L x W x T) |
Format: |
Paperback
|
Pages: |
400 |
Edition: |
Softcover reprint of the original 1st ed. 1971 |
ISBN-13: |
978-3-642-65026-0 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
3-642-65026-0 |
Barcode: |
9783642650260 |
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