Exponential decay for negative feedback loop with distributed delay
Online Publication Date2020-04-24
Print Publication Date2020-09
Embargo End Date2022-04-24
Permanent link to this recordhttp://hdl.handle.net/10754/662736
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AbstractWe 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.
CitationHaskovec, J. (2020). Exponential decay for negative feedback loop with distributed delay. Applied Mathematics Letters, 107, 106419. doi:10.1016/j.aml.2020.106419
SponsorsJH acknowledges the support of the KAUST baseline funds. This work was done partially while the author was visiting the Institute for Mathematical Sciences, National University of Singapore in 2019. The visit was supported by the Institute.
JournalApplied Mathematics Letters