Delay-dependent stability switches in fractional differential equations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F19%3APU133724" target="_blank" >RIV/00216305:26210/19:PU133724 - isvavai.cz</a>

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S1007570419302102" target="_blank" >https://www.sciencedirect.com/science/article/pii/S1007570419302102</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cnsns.2019.104888" target="_blank" >10.1016/j.cnsns.2019.104888</a>

Result language

angličtina

Original language name

Delay-dependent stability switches in fractional differential equations

Original language description

This paper discusses stability properties of a linear fractional delay differential system involving both delayed as well as non-delayed terms. As a main result, the explicit stability dependence on a changing time delay is described, including conditions for the appearance, number and exact calculations of stability switches for this system when its stability property turns into instability and vice versa in view of a monotonically increasing lag. Some supporting asymptotic results are stated as well. The proof technique is based on analysis of the generalized delay exponential function of the Mittag-Leffler type combined with D-decomposition method. The obtained results are illustrated via a fractional Lotka-Volterra population model and applied to a stabilization problem of the control theory.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure 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

Name of the periodical

Communications in Nonlinear Science and Numerical Simulation

ISSN

1007-5704

e-ISSN

1878-7274

Volume of the periodical

79

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

19

Pages from-to

1-19

UT code for WoS article

000486426000007

EID of the result in the Scopus database

2-s2.0-85068523483