Stability of Linear Delay Differential Equations (Record no. 54326)
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001 - CONTROL NUMBER | |
control field | 978-1-4939-2107-2 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20200421111650.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 141021s2015 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9781493921072 |
-- | 978-1-4939-2107-2 |
082 04 - CLASSIFICATION NUMBER | |
Call Number | 519 |
100 1# - AUTHOR NAME | |
Author | Breda, Dimitri. |
245 10 - TITLE STATEMENT | |
Title | Stability of Linear Delay Differential Equations |
Sub Title | A Numerical Approach with MATLAB / |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | XI, 158 p. 25 illus., 1 illus. in color. |
490 1# - SERIES STATEMENT | |
Series statement | SpringerBriefs in Electrical and Computer Engineering, |
505 0# - FORMATTED CONTENTS NOTE | |
Remark 2 | 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. |
520 ## - SUMMARY, ETC. | |
Summary, etc | 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. |
700 1# - AUTHOR 2 | |
Author 2 | Maset, Stefano. |
700 1# - AUTHOR 2 | |
Author 2 | Vermiglio, Rossana. |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | http://dx.doi.org/10.1007/978-1-4939-2107-2 |
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Koha item type | eBooks |
264 #1 - | |
-- | New York, NY : |
-- | Springer New York : |
-- | Imprint: Springer, |
-- | 2015. |
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-- | txt |
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-- | computer |
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-- | rdamedia |
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-- | online resource |
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-- | text file |
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650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | System theory. |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Numerical analysis. |
650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Control engineering. |
650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Mathematics. |
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Systems Theory, Control. |
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Numerical Analysis. |
650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
-- | Control. |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
-- | 2191-8112 |
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-- | ZDB-2-ENG |
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