Infinite Dimensional Optimization and Control Theory

— —

Hector O. Fattorini (Professor Emeritus, University of California, Los Angeles) G.-C. Rota

Infinite Dimensional Optimization and Control Theory

Hector O. Fattorini (Professor Emeritus, University of California, Los Angeles), G.-C. Rota, B. Doran , M. Ismail

$333

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Cambridge University Press
02 August 1999

Calculus of variations; Optimisation

Series: Encyclopedia of Mathematics and its Applications

This book concerns existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. The author obtains these necessary conditions from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Fattorini studies evolution partial differential equations using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory.

The author establishes existence of optimal controls for arbitrary control sets by means of a general theory of relaxed controls. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.

By: Hector O. Fattorini (Professor Emeritus University of California Los Angeles)
Series edited by: G.-C. Rota, B. Doran, M. Ismail, T. Y. Lam
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 62
Dimensions: Height: 242mm, Width: 165mm, Spine: 29mm
Weight: 1.007kg
ISBN: 9780521451253
ISBN 10: 0521451256
Series: Encyclopedia of Mathematics and its Applications
Pages: 816
Publication Date: 02 August 1999
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Hector O. Fattorini graduated from the Licenciado en Matemática, Universidad de Buenos Aires in 1960 and gained a Ph.D. in Mathematics from the Courant Institute of Mathematical Sciences, New York University, in 1965. Since 1967, he has been a member of the Department of Mathematics at the University of California, Los Angeles.

Reviews for Infinite Dimensional Optimization and Control Theory

Review of the hardback: 'This outstanding monograph will be a great source both for experts and for graduate students interested in calculus of variations, non-linear programming, optimisation theory, optimal control and relaxation theory.' European Mathematical Society Review of the hardback: '... an impressive monograph on infinite dimensional optimal control theory. This is an original and extensive contribution which is not covered by other recent books in the control theory.' J. P. Raymond, Zentralblatt fur Mathematik