Skip to content
Register Sign in Wishlist

Infinite Dimensional Optimization and Control Theory

$136.00 (C)

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: June 2010
  • availability: Available
  • format: Paperback
  • isbn: 9780521154543

$ 136.00 (C)

Add to cart Add to wishlist

Other available formats:
Hardback, eBook

Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • 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.

    • Unifies finite and infinite dimensional control problems
    • Deals with the important problems of target conditions and state constraints
    Read more

    Reviews & endorsements

    "Fattorini's extensive monograph is a fundamental contribution to optimal control theory of evolution finite- or infinite-dimensional systems, and summarizes and extends his many decades of intensive research in this area...This outstanding monograph should be on the desk of every expert in optimal control will be a great source for graduate students interested in calculus of variations, nonlinear programming, optimization theory and optimal control." Mathematical Reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Date Published: June 2010
    • format: Paperback
    • isbn: 9780521154543
    • length: 816 pages
    • dimensions: 234 x 156 x 41 mm
    • weight: 1.07kg
    • availability: Available
  • Table of Contents

    Part I. Finite Dimensional Control Problems:
    1. Calculus of variations and control theory
    2. Optimal control problems without target conditions
    3. Abstract minimization problems: the minimum principle for the time optimal problem
    4. Abstract minimization problems: the minimum principle for general optimal control problems
    Part II. Infinite Dimensional Control Problems:
    5. Differential equations in Banach spaces and semigroup theory
    6. Abstract minimization problems in Hilbert spaces: applications to hyperbolic control systems
    7. Abstract minimization problems in Banach spaces: abstract parabolic linear and semilinear equations
    8. Interpolation and domains of fractional powers
    9. Linear control systems
    10. Optimal control problems with state constraints
    11. Optimal control problems with state constraints: The abstract parabolic case
    Part III. Relaxed Controls:
    12. Spaces of relaxed controls: topology and measure theory
    13. Relaxed controls in finite dimensional systems: existence theory
    14. Relaxed controls in infinite dimensional spaces: existence theory.

  • Author

    Hector O. Fattorini, University of California, Los Angeles
    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.

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.