Open Access

Stability of The Equilibrium of Nonlinear Dynamical Systems

Irada A. Dzhalladova

Dzhalladova, Irada A.

and

Miroslava Růžičková

Růžičková, Miroslava

Jan 25, 2019

Stability of The Equilibrium of Nonlinear Dynamical Systems's Cover Image

Tatra Mountains Mathematical Publications

Volume 71 (2018): Issue 1 (December 2018)

About this article

Previous Article

Cite

Share

Download Cover

Published Online: Jan 25, 2019

Page range: 71 - 80

Received: Jan 04, 2018

DOI: https://doi.org/10.2478/tmmp-2018-0007

Keywords
nonlinear differential systems, asymptotic stability of the trivial solution, quadratic Lyapunov functions, Lyapunov matrix equation, estimation of convergence of solutions

© 2018 Irada A. Dzhalladova et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The algorithm for estimating the stability domain of zero equilibrium to the system of nonlinear differential equations with a quadratic part and a fractional part is proposed in the article. The second Lyapunov method with quadratic Lyapunov functions is used as a method for studying such systems.

Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, General Mathematics

Journal RSS Feed