000 03488nam a22003975i 4500
999 _c103720
_d103720
_x1
001 103720
003 DE-He213
005 20230102113143.0
006 a||||fo|||| 00| 0
007 cr nn 008mamaa
008 141021s2015 xxu| s |||| 0|eng d
020 _a9781493921072
024 7 _a10.1007/978-1-4939-2107-2
_2doi
040 _bspa
_dES-MaUEC
050 4 _aQA372
_b.B743 2015 EB
100 1 _aBreda, Dimitri.
_eautor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_1http://viaf.org/viaf/313410716/
245 1 0 _aStability of Linear Delay Differential Equations
_bA Numerical Approach with MATLAB
_cby Dimitri Breda, Stefano Maset, Rossana Vermiglio.
264 1 _aNew York, NY
_bSpringer International Publishing
_c2015
300 _a1 recurso en línea (XI, 158 páginas 25 ilustraciones, 1 ilustraciones a color.)
336 _2rdacontent
_aTexto (visual)
_btxt
337 _2rdamedia
_aelectrónico
_bc
338 _2rdacarrier
_arecurso electrónico
_bcr
490 0 _aSpringerBriefs in Control, Automation and Robotics,
_x2192-6786
490 0 _aEngineering (Springer-11647)
505 0 _aIntroduction -- 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 3 _aThis 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.
988 _aEBSPRINGER_2018
650 7 _aEcuaciones diferenciales
_2embne
_9139227
700 1 _aMaset, Stefano.
_eautor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_1http://viaf.org/viaf/313410723/
700 1 _aVermiglio, Rossana.
_eautor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_1http://viaf.org/viaf/313410720/
776 0 8 _iEdición impresa:
_z9781493921089
776 0 8 _iEdición impresa:
_z9781493921065
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-1-4939-2107-2
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b03/2019
_dz
_eIG
_zSI