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Stability of Linear Delay Differential Equations = A Numerical Approach with MATLAB /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Stability of Linear Delay Differential Equations/ by Dimitri Breda, Stefano Maset, Rossana Vermiglio.
其他題名:	A Numerical Approach with MATLAB /
作者:	Breda, Dimitri.
其他作者:	Maset, Stefano.
面頁冊數:	XI, 158 p. 25 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	System theory. -
電子資源:	https://doi.org/10.1007/978-1-4939-2107-2
ISBN:	9781493921072

Stability of Linear Delay Differential Equations = A 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. - 1st ed. 2015. - XI, 158 p. 25 illus., 1 illus. in color.online resource. - SpringerBriefs in Control, Automation and Robotics,2192-6786. - SpringerBriefs in 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

Standard No.: 10.1007/978-1-4939-2107-2doiSubjects--Topical Terms:

566168
System theory.

LC Class. No.: Q295

Dewey Class. No.: 519

Stability of Linear Delay Differential Equations = A Numerical Approach with MATLAB /
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