Spectral dominance of complex roots for single-delay linear equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F20%3A00355064" target="_blank" >RIV/68407700:21220/20:00355064 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.ifacol.2020.12.062" target="_blank" >https://doi.org/10.1016/j.ifacol.2020.12.062</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ifacol.2020.12.062" target="_blank" >10.1016/j.ifacol.2020.12.062</a>

Result language
angličtina
Original language name
Spectral dominance of complex roots for single-delay linear equations
Original language description
This paper provides necessary and sufficient conditions for the existence of a pair of complex conjugate roots, each of multiplicity two, in the spectrum of a linear time-invariant single-delay equation of retarded type. This pair of roots is also shown to be always strictly dominant, determining thus the asymptotic behavior of the system. The proof of this result is based on the corresponding result for real roots of multiplicity four, continuous dependence of roots with respect to parameters, and the study of crossing imaginary roots. We also present how this design can be applied to vibration suppression and flexible mode compensation.
Czech name
—
Czech description
—

Project
<a href="/en/project/EF16_019%2F0000826" target="_blank" >EF16_019/0000826: Center of Advanced Aerospace Technology</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)