Exponential decay for negative feedback loop with distributed delay

Jan Haskovec

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We derive sufficient conditions for exponential decay of solutions of the delay negative feedback equation with distributed delay. The conditions are written in terms of exponential moments of the distribution. Our method only uses elementary tools of calculus and is robust towards possible extensions to more complex settings, in particular, systems of delay differential equations. We illustrate the applicability of the method to particular distributions — Dirac delta, Gamma distribution, uniform and truncated normal distributions.
Original languageEnglish (US)
Pages (from-to)106419
JournalApplied Mathematics Letters
Volume107
DOIs
StatePublished - Apr 24 2020

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