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SpringerBriefs in Control, Automation and Robotics

Stability of Linear Delay Differential Equations

A Numerical Approach with MATLAB

Authors: Breda, Dimitri, Maset, Stefano, Vermiglio, Rossana

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  • The book provides Matlab codes and relevant descriptions to allow the interested reader to test and apply the proposed approaches in a practical perspective
  • The book represents a self-contained treatment of the problem, from the theoretical aspects of the models to the practical computation of the results, passing through the numerical analysis of the proposed algorithms
  • Presents the authors recent work on the numerical methods for the stability analysis of equilibria and periodic solutions
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eBook $39.99
price for USA in USD (gross)
  • ISBN 978-1-4939-2107-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA in USD
  • ISBN 978-1-4939-2106-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book presents the authors' recent work on the numerical methods for the stability analysis of linear autonomous and periodic delay differential equations, which consist in applying pseudospectral techniques to discretize either the solution operator or the infinitesimal generator and in using the eigenvalues of the resulting matrices to approximate the exact spectra. The purpose of the book is to provide a complete and self-contained treatment, which includes the basic underlying mathematics and numerics, examples from population dynamics and engineering applications, and Matlab programs implementing the proposed numerical methods. A number of proofs is given to furnish a solid foundation, but the emphasis is on the (unifying) idea of the pseudospectral technique for the stability analysis of DDEs. It is aimed at advanced students and researchers in applied mathematics, in dynamical systems and in various fields of science and engineering, concerned with delay systems. A relevant feature of the book is that it also provides the Matlab codes to encourage the readers to experience the practical aspects. They could use the codes to test the theory and to analyze the performances of the methods on the given examples. Moreover, they could easily modify them to tackle the numerical stability analysis of their own delay models.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $39.99
price for USA in USD (gross)
  • ISBN 978-1-4939-2107-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA in USD
  • ISBN 978-1-4939-2106-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Stability of Linear Delay Differential Equations
Book Subtitle
A Numerical Approach with MATLAB
Authors
Series Title
SpringerBriefs in Control, Automation and Robotics
Copyright
2015
Publisher
Springer-Verlag New York
Copyright Holder
The Author(s)
eBook ISBN
978-1-4939-2107-2
DOI
10.1007/978-1-4939-2107-2
Softcover ISBN
978-1-4939-2106-5
Series ISSN
2192-6786
Edition Number
1
Number of Pages
XI, 158
Number of Illustrations
24 b/w illustrations, 1 illustrations in colour
Topics