Lecture Notes in Control and Information Sciences

Frequency Domain Criteria for Absolute Stability

A Delay-integral-quadratic Constraints Approach

Authors: Altshuller, Dmitry

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  • Shows the reader a new method for obtaining results in stability theory
  • Presents important new results for increasing nonlinear system stability
  • Self-contained presentation of prerequisite background mathematics
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About this book

Frequency Domain Criteria for Absolute Stability focuses on recently-developed methods of delay-integral-quadratic constraints to provide criteria for absolute stability of nonlinear control systems. The known or assumed properties of the system are the basis from which stability criteria are developed. Through these methods, many classical results are naturally extended, particularly to time-periodic but also to nonstationary systems. Mathematical prerequisites including Lebesgue-Stieltjes measures and integration are first explained in an informal style with technically more difficult proofs presented in separate sections that can be omitted without loss of continuity.
The results are presented in the frequency domain – the form in which they naturally tend to arise. In some cases, the frequency-domain criteria can be converted into computationally tractable linear matrix inequalities but in others, especially those with a certain geometric interpretation, inferences concerning stability can be made directly from the frequency-domain inequalities.
The book is intended for applied mathematicians and control systems theorists. It can also be of considerable use to mathematically-minded engineers working with nonlinear systems.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-1-4471-4234-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.99
price for USA in USD
  • ISBN 978-1-4471-4233-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Frequency Domain Criteria for Absolute Stability
Book Subtitle
A Delay-integral-quadratic Constraints Approach
Authors
Series Title
Lecture Notes in Control and Information Sciences
Series Volume
432
Copyright
2013
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-4234-8
DOI
10.1007/978-1-4471-4234-8
Softcover ISBN
978-1-4471-4233-1
Series ISSN
0170-8643
Edition Number
1
Number of Pages
X, 142
Number of Illustrations
13 b/w illustrations
Topics