Sieber, Jan; Szalai, Robert Characteristic matrices for linear periodic delay differential equations. (English) Zbl 1229.34115 SIAM J. Appl. Dyn. Syst. 10, No. 1, 129-147 (2011). Authors’ abstract: R. Szalai, G. Stépán and S. J. Hogan [SIAM J. Sci. Comput. 28, No. 4, 1301–1317 (2006; Zbl 1118.37037)] gave a general construction for characteristic matrices for systems of linear delay differential equations with periodic coefficients. First, we show that matrices constructed in this way can have a discrete set of poles in the complex plane, which may possibly obstruct their use when determining the stability of the linear system. Then, we modify and generalize the original construction such that the poles get pushed into a small neighborhood of the origin of the complex plane. Reviewer: Zhi-Cheng Wang (Lanzhou) Cited in 9 Documents MSC: 34K20 Stability theory of functional-differential equations 34K06 Linear functional-differential equations 34K08 Spectral theory of functional-differential operators 34K13 Periodic solutions to functional-differential equations Keywords:delay differential equations; characteristic matrix; stability of periodic orbits Citations:Zbl 1118.37037 Software:Knut PDFBibTeX XMLCite \textit{J. Sieber} and \textit{R. Szalai}, SIAM J. Appl. Dyn. Syst. 10, No. 1, 129--147 (2011; Zbl 1229.34115) Full Text: DOI arXiv