Research output: Chapter in Book/Report/Conference proceedingChapter

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Stability analysis of DDEs with time-periodic coefficients requires the analysis of the eigenvalues of the infinite-dimensional monodromy operator. Generally, stability conditions cannot be given as closed-form functions of the system parameters (the delayed Mathieu equation in Section 2.4 is an exception), but numerical approximations can be used to derive stability properties. Semi-discretization is an efficient numerical method that provides a finite-dimensional matrix approximation of the infinite-dimensional monodromy matrix. This chapter presents the main concept of the semi-discretization method for general linear time-periodic DDEs following [123, 73, 126, 101, 133].

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages33
Publication statusPublished - Jan 1 2011

Publication series

NameApplied Mathematical Sciences (Switzerland)
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

ASJC Scopus subject areas

  • Applied Mathematics

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  • Cite this

    Insperger, T., & Stépán, G. (2011). Semi-discretization. In Applied Mathematical Sciences (Switzerland) (pp. 39-71). (Applied Mathematical Sciences (Switzerland); Vol. 178). Springer.