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Stability of linear delay differenti...

Breda, Dimitri.

Stability of linear delay differential equationsa numerical approach with MATLAB /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stability of linear delay differential equationsby Dimitri Breda, Stefano Maset, Rossana Vermiglio.
Reminder of title:	a numerical approach with MATLAB /
Author:	Breda, Dimitri.
other author:	Maset, Stefano.
Published:	New York, NY :Springer New York :2015.
Description:	xi, 158 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations, LinearNumerical solutions.
Online resource:	http://dx.doi.org/10.1007/978-1-4939-2107-2
ISBN:	9781493921072 (electronic bk.)

Stability of linear delay differential equationsa numerical approach with MATLAB /
Breda, Dimitri.

Stability of linear delay differential equationsa numerical approach with MATLAB /[electronic resource] :by Dimitri Breda, Stefano Maset, Rossana Vermiglio. - New York, NY :Springer New York :2015. - xi, 158 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in electrical and computer engineering, Control, automation and robotics,2191-8112. - SpringerBriefs in electrical and computer engineering.Control, automation and robotics..

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.

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.

ISBN: 9781493921072 (electronic bk.)

Standard No.: 10.1007/978-1-4939-2107-2doiSubjects--Uniform Titles:

MATLAB.
Subjects--Topical Terms:

307735
Differential equations, Linear
--Numerical solutions.

LC Class. No.: QA372

Dewey Class. No.: 515.354

Stability of linear delay differential equationsa numerical approach with MATLAB /
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520 $a 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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