Detail publikačního výsledku

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

BAŠTINEC, J.; DIBLÍK, J.; KHUSAINOV, D.; SIRENKO, A.

Originální název

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

Anglický název

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

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

nonlinear systems, stability, the equilibrium position, the method of Lyapunov functions, system with delay, condition B. S. Razumikhin.

Klíčová slova v angličtině

nonlinear systems, stability, the equilibrium position, the method of Lyapunov functions, system with delay, condition B. S. Razumikhin.

Autoři

BAŠTINEC, J.; DIBLÍK, J.; KHUSAINOV, D.; SIRENKO, A.

Rok RIV

2017

Vydáno

16.05.2016

Nakladatel

NAV Ukrajiny

Místo

Kyjev, Ukrajina

ISSN

1683-4720

Periodikum

Trudy NAN Ukrainy

Svazek

29

Číslo

1

Stát

Ukrajina

Strany od

129

Strany do

146

Strany počet

18

BibTex

@article{BUT125132,
  author="Jaromír {Baštinec} and Josef {Diblík} and Denys {Khusainov} and Andrii {Sirenko}",
  title="Stability, unevenly with delay, one of weak linear system with an aftereffect.",
  journal="Trudy NAN Ukrainy",
  year="2016",
  volume="29",
  number="1",
  pages="129--146",
  issn="1683-4720"
}

Dokumenty

125132