Overview
- An applied text on a mathematical subject of great importance to control engineers and roboticists and with applications in a wide variety of other disciplines
- Additional electronic material available to aid in the implementation of ideas from the book
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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 . . .
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Keywords
Table of contents (11 chapters)
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Front Matter
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Introduction
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Front Matter
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Tools
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Front Matter
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Applications
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Front Matter
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Implementation
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Front Matter
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Back Matter
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
"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
Authors and Affiliations
Bibliographic Information
Book Title: Applied Interval Analysis
Book Subtitle: With Examples in Parameter and State Estimation, Robust Control and Robotics
Authors: Luc Jaulin, Michel Kieffer, Olivier Didrit, Éric Walter
DOI: https://doi.org/10.1007/978-1-4471-0249-6
Publisher: Springer London
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag London 2001
Hardcover ISBN: 978-1-85233-219-8Published: 30 August 2001
Softcover ISBN: 978-1-4471-1067-5Published: 30 August 2012
eBook ISBN: 978-1-4471-0249-6Published: 06 December 2012
Edition Number: 1
Number of Pages: XVI, 379
Topics: Software Engineering/Programming and Operating Systems, Computational Intelligence, Math Applications in Computer Science, Systems Theory, Control