000			03523nam a22005415i 4500
001			978-1-4939-2107-2
003			DE-He213
005			20200421111650.0
007			cr nn 008mamaa
008			141021s2015 xxu| s |||| 0|eng d
020			_a9781493921072 _9978-1-4939-2107-2
024	7		_a10.1007/978-1-4939-2107-2 _2doi
050		4	_aQ295
050		4	_aQA402.3-402.37
072		7	_aGPFC _2bicssc
072		7	_aSCI064000 _2bisacsh
072		7	_aTEC004000 _2bisacsh
082	0	4	_a519 _223
100	1		_aBreda, Dimitri. _eauthor.
245	1	0	_aStability of Linear Delay Differential Equations _h[electronic resource] : _bA Numerical Approach with MATLAB / _cby Dimitri Breda, Stefano Maset, Rossana Vermiglio.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2015.
300			_aXI, 158 p. 25 illus., 1 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringerBriefs in Electrical and Computer Engineering, _x2191-8112
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			_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.
650		0	_aMathematics.
650		0	_aSystem theory.
650		0	_aNumerical analysis.
650		0	_aControl engineering.
650	1	4	_aMathematics.
650	2	4	_aSystems Theory, Control.
650	2	4	_aNumerical Analysis.
650	2	4	_aControl.
700	1		_aMaset, Stefano. _eauthor.
700	1		_aVermiglio, Rossana. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781493921065
830		0	_aSpringerBriefs in Electrical and Computer Engineering, _x2191-8112
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4939-2107-2
912			_aZDB-2-ENG
942			_cEBK
999			_c54326 _d54326