Skip to content
Register Sign in Wishlist
Approximation of Large-Scale Dynamical Systems

Approximation of Large-Scale Dynamical Systems

£84.00

Part of Advances in Design and Control

  • Date Published: June 2009
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • format: Paperback
  • isbn: 9780898716580

£ 84.00
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
Unavailable Add to wishlist

Other available formats:
Hardback


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational accuracy and storage capabilities model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.

    • Suitable for anyone interested in model reduction
    • An excellent reference for graduate students and researchers in the fields of system and control theory, numerical analysis, and the theory of partial differential equations/computational fluid dynamics
    • Provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations
    Read more

    Reviews & endorsements

    '… this book contains a wealth of useful information and is the most authoritative presentation of the approximation techniques for large-scale dynamical systems available at the moment. The book is highly recommended to graduate students and researchers in the fields of system and control theory, and numerical analysis.' Petko Petkov, 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 2009
    • format: Paperback
    • isbn: 9780898716580
    • length: 510 pages
    • dimensions: 253 x 174 x 24 mm
    • weight: 0.89kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial null Mathematics for availability.
  • Table of Contents

    Preface
    Part I. Introduction:
    1. Introduction
    2. Motivating examples
    Part II. Preliminaries:
    3. Tools from matrix theory
    4. Linear dynamical systems, Part 1
    5. Linear dynamical systems, Part 2
    6. Sylvester and Lyapunov equations
    Part III. SVD-based Approximation Methods:
    7. Balancing and balanced approximations
    8. Hankel-norm approximation
    9. Special topics in SVD-based approximation methods
    Part IV. Krylov-based Approximation Methods:
    10. Eigenvalue computations
    11. Model reduction using Krylov methods
    Part V. SVD-Krylov Methods and Case Studies:
    12. SVD-Krylov methods
    13. Case studies
    14. Epilogue
    15. Problems
    Bibliography
    Index.

  • Author

    Athanasios C. Antoulas, Rice University, Houston

Related Books

Sorry, this resource is locked

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

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 www.ebooks.com. Please see the permission section of the www.ebooks.com 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.

Cancel

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.
×