Optimal Control of Systems Governed by Partial Differential Equations: 170 (Grundlehren der mathematischen Wissenschaften) - Hardcover

Lions, Jacques Louis

 
9783540051152: Optimal Control of Systems Governed by Partial Differential Equations: 170 (Grundlehren der mathematischen Wissenschaften)

Inhaltsangabe

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-+

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

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-+

Reseña del editor

Translation of Controle optimal de systemes gouvernes par des equations aux derivees partielles.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Weitere beliebte Ausgaben desselben Titels

9783642650260: Optimal Control of Systems Governed by Partial Differential Equations: 170 (Grundlehren der mathematischen Wissenschaften)

Vorgestellte Ausgabe

ISBN 10:  3642650260 ISBN 13:  9783642650260
Verlag: Springer, 2011
Softcover