Delay Switching across the Stability Boundary

Ohira, Toru

doi:10.51094/jxiv.44

##article.authors##

Ohira, Toru Graduate School of Mathematics, Nagoya University

DOI:

https://doi.org/10.51094/jxiv.44

キーワード:

Delay、 Feedback、 Stochasticity、 Asymptotic Stability、 Stability Control、 Switched Systems

抄録

We propose a simple delay differential equation with a delay switching. In this model, the delay is a time-dependent variable taking two values across the stability boundary. With both stochastic and regular periodic switching of the delay, there are cases where the region of asymptotic stability is enhanced. We also show that this is in contrast to the analogous case of switching coefficient parameters in the equation. Also, the direction of switching across the stability boundary affects the stability.

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