Applied Interval Analysis

With Examples in Parameter and State Estimation, Robust Control and Robotics

Authors: Jaulin, L., Kieffer, M., Didrit, O., Walter, E.

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eBook 130,89 €
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  • ISBN 978-1-4471-0249-6
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Softcover 171,59 €
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About this book

At the core of many engineering problems is the solution of sets of equa­ tions and inequalities, and the optimization of cost functions. Unfortunately, except in special cases, such as when a set of equations is linear in its un­ knowns or when a convex cost function has to be minimized under convex constraints, the results obtained by conventional numerical methods are only local and cannot be guaranteed. This means, for example, that the actual global minimum of a cost function may not be reached, or that some global minimizers of this cost function may escape detection. By contrast, interval analysis makes it possible to obtain guaranteed approximations of the set of all the actual solutions of the problem being considered. This, together with the lack of books presenting interval techniques in such a way that they could become part of any engineering numerical tool kit, motivated the writing of this book. The adventure started in 1991 with the preparation by Luc Jaulin of his PhD thesis, under Eric Walter's supervision. It continued with their joint supervision of Olivier Didrit's and Michel Kieffer's PhD theses. More than two years ago, when we presented our book project to Springer, we naively thought that redaction would be a simple matter, given what had already been achieved . . .

Reviews

From the reviews:
"Applied Interval Analysis is the right book at the right time to move computing with intervals into the mainstream of engineering, financial, and scientific computing."
G. William Walster, Interval Technology Engineering Manager, Sun Microsystems and Member of the Editorial Board of Reliable Computing

Table of contents (11 chapters)

Buy this book

eBook 130,89 €
price for Spain (gross)
  • ISBN 978-1-4471-0249-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 171,59 €
price for Spain (gross)
  • ISBN 978-1-85233-219-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 171,59 €
price for Spain (gross)
  • ISBN 978-1-4471-1067-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Applied Interval Analysis
Book Subtitle
With Examples in Parameter and State Estimation, Robust Control and Robotics
Authors
Copyright
2001
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-0249-6
DOI
10.1007/978-1-4471-0249-6
Hardcover ISBN
978-1-85233-219-8
Softcover ISBN
978-1-4471-1067-5
Edition Number
1
Number of Pages
XVI, 379
Topics