Detail publikace

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

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.

Jazyk

en

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.

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.",
annote="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.",