Optimal Control of Systems Governed by Partial Differential Equations (Grundelhren Der Mathematishen Wissenschaften : Vol 170) - Hardcover

Jacques-Louis Lions

Hardcover

ISBN 10: 0387051155 ISBN 13: 9780387051154

Publisher: Springer Verlag, 1971

Synopsis

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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Language Notes

Text: German

Edition details

• Publisher: Springer Verlag
• Publication date: 1971
• ISBN 10: 0387051155
• ISBN 13: 9780387051154
• Binding: Hardcover
• Language: English
• Number of pages: 275