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Detail publikace
BAŠTINEC, J. DIBLÍK, J. KHUSAINOV, D. SIRENKO, A.
Originální název
Stability, unevenly with delay, one of weak linear system with an aftereffect.
Typ
článek v časopise - ostatní, Jost
Jazyk
angličtina
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.
Klíčová slova
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.
Vydáno
16. 5. 2016
Nakladatel
NAV Ukrajiny
Místo
Kyjev, Ukrajina
ISSN
1683-4720
Periodikum
Trudy NAN Ukrainy
Ročník
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" }