Detail publikace

Application of the Second Lyapunov Method for Getting the Conditions of Stability in Systems with Quadratic Right-Hand Side

NOVOTNÁ, V. SHATYRKO, A. PŮŽA, B. KHUSAINOV, D.

Originální název

Application of the Second Lyapunov Method for Getting the Conditions of Stability in Systems with Quadratic Right-Hand Side

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

By using the apparatus of Lyapunov’s direct method with a function from the class of quadratic forms, we establish algebraic sufficient conditions for the stability of trivial solutions to the nonlinear systems of differential equations of the second and third orders.

Klíčová slova

Lyapunov’s direct method; quadratic forms; nonlinear systems of differential equations

Autoři

NOVOTNÁ, V.; SHATYRKO, A.; PŮŽA, B.; KHUSAINOV, D.

Vydáno

12. 5. 2024

ISSN

1573-9376

Periodikum

Ukrainian Mathematical Journal

Ročník

75

Číslo

2

Stát

Ukrajina

Strany počet

14

URL

https://link.springer.com/article/10.1007/s11253-024-02300-3?utm_source=rct_congratemailt&utm_medium=email&utm_campaign=nonoa_20240501&utm_content=10.1007%2Fs11253-024-02300-3

BibTex

@article{BUT188538,
  author="Veronika {Novotná} and Andriy {Shatyrko} and Bedřich {Půža} and Denys Ya. {Khusainov}",
  title="Application of the Second Lyapunov Method for Getting the Conditions of Stability in Systems with Quadratic Right-Hand Side",
  journal="Ukrainian Mathematical Journal",
  year="2024",
  volume="75",
  number="2",
  pages="14",
  doi="10.1007/s11253-024-02300-3",
  issn="1573-9376",
  url="https://link.springer.com/article/10.1007/s11253-024-02300-3?utm_source=rct_congratemailt&utm_medium=email&utm_campaign=nonoa_20240501&utm_content=10.1007%2Fs11253-024-02300-3"
}