LEADER 04302nam 22007335 450 001 9910299662303321 005 20200703022637.0 010 $a1-4939-2107-X 024 7 $a10.1007/978-1-4939-2107-2 035 $a(CKB)3710000000268121 035 $a(EBL)1967010 035 $a(OCoLC)894508863 035 $a(SSID)ssj0001372507 035 $a(PQKBManifestationID)11831424 035 $a(PQKBTitleCode)TC0001372507 035 $a(PQKBWorkID)11304284 035 $a(PQKB)11601118 035 $a(DE-He213)978-1-4939-2107-2 035 $a(MiAaPQ)EBC1967010 035 $a(PPN)182095517 035 $a(EXLCZ)993710000000268121 100 $a20141021d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStability of Linear Delay Differential Equations $eA Numerical Approach with MATLAB /$fby Dimitri Breda, Stefano Maset, Rossana Vermiglio 205 $a1st ed. 2015. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2015. 215 $a1 online resource (162 p.) 225 1 $aSpringerBriefs in Control, Automation and Robotics,$x2192-6786 300 $aDescription based upon print version of record. 311 $a1-4939-2106-1 320 $aIncludes bibliographical references. 327 $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. 330 $aThis book presents the authors' recent work on the numerical methods for the stability analysis of linear autonomous and periodic delay differential equations, which consist in applying pseudospectral techniques to discretize either the solution operator or the infinitesimal generator and in using the eigenvalues of the resulting matrices to approximate the exact spectra. The purpose of the book is to provide a complete and self-contained treatment, which includes the basic underlying mathematics and numerics, examples from population dynamics and engineering applications, and Matlab programs implementing the proposed numerical methods. A number of proofs is given to furnish a solid foundation, but the emphasis is on the (unifying) idea of the pseudospectral technique for the stability analysis of DDEs. It is aimed at advanced students and researchers in applied mathematics, in dynamical systems and in various fields of science and engineering, concerned with delay systems. A relevant feature of the book is that it also provides the Matlab codes to encourage the readers to experience the practical aspects. They could use the codes to test the theory and to analyze the performances of the methods on the given examples. Moreover, they could easily modify them to tackle the numerical stability analysis of their own delay models. 410 0$aSpringerBriefs in Control, Automation and Robotics,$x2192-6786 606 $aSystem theory 606 $aNumerical analysis 606 $aAutomatic control 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 606 $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 615 0$aSystem theory. 615 0$aNumerical analysis. 615 0$aAutomatic control. 615 14$aSystems Theory, Control. 615 24$aNumerical Analysis. 615 24$aControl and Systems Theory. 676 $a510 676 $a518 676 $a519 676 $a629.8 700 $aBreda$b Dimitri$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721048 702 $aMaset$b Stefano$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aVermiglio$b Rossana$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299662303321 996 $aStability of Linear Delay Differential Equations$92522059 997 $aUNINA