Exponential decay for negative feedback loop with distributed delay
Type
ArticleAuthors
Haskovec, Jan
Date
2020-04-24Online Publication Date
2020-04-24Print Publication Date
2020-09Embargo End Date
2022-04-24Submitted Date
2020-03-24Permanent link to this record
http://hdl.handle.net/10754/662736
Metadata
Show full item recordAbstract
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.Citation
Haskovec, J. (2020). Exponential decay for negative feedback loop with distributed delay. Applied Mathematics Letters, 107, 106419. doi:10.1016/j.aml.2020.106419Sponsors
JH 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.Publisher
Elsevier BVJournal
Applied Mathematics LettersAdditional Links
https://linkinghub.elsevier.com/retrieve/pii/S0893965920301907ae974a485f413a2113503eed53cd6c53
10.1016/j.aml.2020.106419