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Titlebook: Stability of Linear Delay Differential Equations; A Numerical Approach Dimitri Breda,Stefano Maset,Rossana Vermiglio Book 2015 The Author(s

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發(fā)表于 2025-3-21 17:22:29 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Stability of Linear Delay Differential Equations
副標題A Numerical Approach
編輯Dimitri Breda,Stefano Maset,Rossana Vermiglio
視頻videohttp://file.papertrans.cn/876/875341/875341.mp4
概述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 treatm
叢書名稱SpringerBriefs in Electrical and Computer Engineering
圖書封面Titlebook: Stability of Linear Delay Differential Equations; A Numerical Approach Dimitri Breda,Stefano Maset,Rossana Vermiglio Book 2015 The Author(s
描述.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
出版日期Book 2015
關(guān)鍵詞Asymptotic Stability; Characteristic Equation, Roots and Multipliers; Equilibria and Periodic Solution
版次1
doihttps://doi.org/10.1007/978-1-4939-2107-2
isbn_softcover978-1-4939-2106-5
isbn_ebook978-1-4939-2107-2Series ISSN 2191-8112 Series E-ISSN 2191-8120
issn_series 2191-8112
copyrightThe Author(s) 2015
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Introduction,During the last decades, the interest for systems of differential equations depending on the past history has been increasing.
地板
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Notation and BasicsThe aim of this chapter is to introduce basic notation and definitions, together with solvability theorems for Cauchy problems for DDEs and a remark on continuous dependence on the data.
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Stability of Linear Autonomous EquationsWe focus our attention on linear autonomous DDEs and on the analysis of the stability properties of the zero solution.
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Stability of Linear Periodic EquationsThe central subject of this chapter is the stability analysis of the zero solution of linear periodic DDEs.
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The Infinitesimal Generator ApproachThe IG approach consists in approximating the space . with a finite dimensional linear space ., called the ...., and the infinitesimal generator . with a finite dimensional linear operator ., called the ....
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MATLAB ImplementationThe book is provided with the following three MATLAB codes:. freely available, [48].
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ApplicationsAll the following tests and applications refer to the notation and structure of model (.), i.e., from the user’s point of view as explained in Sect.?..
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