<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The paper presents two different approaches to estimating the region of stability of differential equation. Estimation of the region of stability is an essential practice in relation to control of the dynamical system. In this paper the objects of examination are differential equations with quasi-derivation. The equations have features that do not allow the application of classical methods for establishing stability. The goal is to compare the results of an analytic approach using Lyapunov method and computer simulation using a numerical method. The brief description of both methods are introduced and graphical results are presented and compared</p></abstract>

The paper presents two different approaches to estimating the region of stability of differential equation. Estimation of the region of stability is an essential practice in relation to control of the dynamical system. In this paper the objects of examination are differential equations with quasi-derivation. The equations have features that do not allow the application of classical methods for establishing stability. The goal is to compare the results of an analytic approach using Lyapunov method and computer simulation using a numerical method. The brief description of both methods are introduced and graphical results are presented and compared

Analytical and numerical approach to defining the stability region of a dynamical system

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The paper presents two different approaches to estimating the region of stability of differential equation. Estimation of the region of stability is an...

Analytical and numerical approach to defining the stability region of a dynamical system

Published Online: Jan 11, 2018

Page range: 55 - 62

DOI: https://doi.org/10.1515/jamsi-2017-0009

Keywords
dynamical system, numerical analysis, stability

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Analytical and numerical approach to defining the stability region of a dynamical system

Published Online: Jan 11, 2018

Page range: 55 - 62

DOI: https://doi.org/10.1515/jamsi-2017-0009

Keywordsdynamical system, numerical analysis, stability

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
dynamical system, numerical analysis, stability