Exact versus discretized stability regions for a linear delay differential equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F19%3APU131230" target="_blank" >RIV/00216305:26210/19:PU131230 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0096300318310002" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0096300318310002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2018.11.026" target="_blank" >10.1016/j.amc.2018.11.026</a>

Result language
angličtina
Original language name
Exact versus discretized stability regions for a linear delay differential equation
Original language description
The paper introduces a system of necessary and sufficient stability conditions for a four- term linear delay difference equation with complex coefficients. These conditions are de- rived explicitly with respect to the time lag and can be viewed as a direct discrete coun- terpart to the existing stability results for the underlying delay differential equation. As a main proof tool, the boundary locus technique combined with some special results of the polynomial theory is employed. Since the studied difference equation serves as a θ - method discretization of its continuous pattern, several problems of numerical stability are discussed as well.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA17-03224S" target="_blank" >GA17-03224S: Asymptotic theory of ordinary and fractional differential equations and their numerical discretizations</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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