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Stability of Linear Delay Differential Equations: A Numerical Approach with MATLAB: SpringerBriefs in Electrical and Computer Engineering

Autor Dimitri Breda, Stefano Maset, Rossana Vermiglio
en Limba Engleză Paperback – 21 oct 2014
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.
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Specificații

ISBN-13: 9781493921065
ISBN-10: 1493921061
Pagini: 125
Ilustrații: XI, 158 p. 25 illus., 1 illus. in color.
Dimensiuni: 155 x 235 x 10 mm
Greutate: 0.25 kg
Ediția:2015
Editura: Springer
Colecția Springer
Seriile SpringerBriefs in Electrical and Computer Engineering, SpringerBriefs in Control, Automation and Robotics

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

Introduction.- Part I: Theory.- Notation and basics.- Stability of linear autonomous equations.- Stability of linear periodic equations.- Part II: Numerical Analysis.- The infinitesimal generator approach.- The solution operator approach.- Part III: Implementation and applications.- MATLAB implementation.- Applications.

Caracteristici

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
Includes supplementary material: sn.pub/extras