Stability, unevenly with delay, one of weak linear system with an aftereffect.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F16%3APU119156" target="_blank" >RIV/00216305:26220/16:PU119156 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Stability, unevenly with delay, one of weak linear system with an aftereffect.

Original language description

We consider system of differential equations with asymptotically stable diagonal part and the nonlinearity, representing the sum of non-linear functions one of the variable, which satisfying Lipschitz conditions. The system has a position of equilibrium in the first quadrant. Studying of the stability of the equilibrium position is conducted with using the method of Lyapunov functions. The Lyapunov function is building as sum of the squares of the phase variables. We get constructive conditions of stability. We considering systems with delay. We obtain sufficient conditions of stability, which depends on the magnitude of the delay.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2016

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Trudy NAN Ukrainy

ISSN

1683-4720

e-ISSN

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Volume of the periodical

29

Issue of the periodical within the volume

1

Country of publishing house

UA - UKRAINE

Number of pages

18

Pages from-to

129-146

UT code for WoS article

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EID of the result in the Scopus database

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