Optimal Control of Systems Governed by Partial Differential Equations

Lions, Jacques-Louis

ISBN 10: 0387051155 / ISBN 13: 9780387051154

Published by Springer Verlag, New York, 1971

About this Item

Grundelhren Der Mathematishen Wissenschaften : Vol 170; 171 X 32 X 241 millimeters; 275 pages.

Seller Inventory # 17570

Bibliographic Details

• Title: Optimal Control of Systems Governed by Partial Differential Equations
• Publisher: Springer Verlag, New York
• Publication Date: 1971
• Language: English
• ISBN 10: 0387051155
• ISBN 13: 9780387051154
• Binding: Hardcover
• Condition: Very Good
• Dust Jacket Condition: No Dust Jacket

About this title

Synopsis

1. The development of a theory of optimal control (deterministic) requires the following initial (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-+

Language Notes

Text: German