Characteristic matrices for linear periodic delay differential equations

Details Characteristic matrices for linear periodic delay differential equations Characteristic matrices for linear periodic delay differential equations

2010-05-25

arxiv.org/abs/1005.4522v3

SIAM Jornal of Appl. Dyn. Sys. 10, pp. 129-147, 2011

Mathematics

Dynamical Systems

17 pages, 1 figure

Scientific paper

10.1137/100796455

Szalai et al. (SIAM J. on Sci. Comp. 28(4), 2006) 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.

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