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On Stability of Certain Class of 3-Rd Order Nonlinear Control Systems

Oleg Palumbíny

Palumbíny, Oleg

et

Martin Neštický

Neštický, Martin

06 févr. 2015

On Stability of Certain Class of 3-Rd Order Nonlinear Control Systems's Cover Image

Research Papers Faculty of Materials Science and Technology Slovak University of Technology

Édition 22 (2014): Edition 35 (Décembre 2014)

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Publié en ligne: 06 févr. 2015

Pages: 39 - 47

DOI: https://doi.org/10.2478/rput-2014-0033

Mots clés
nonautonomous nonlinear differential equation, 3-rd order, quasi-derivative, stability in Liapunov sense, asymptotic stability in Liapunov sense, instability in Liapunov sense

© by Oleg Palumbíny

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

The paper deals with a certain class of nonautonomous ordinary third-order nonlinear differential equations L₃y=f(t,L₀y,L₁y,L₂y) with quasi-derivatives. A criterion of asymptotic stability in Liapunov sense as well as a criterion of instability in Liapunov sense is derived. The results are illustrated by two examples.

Langue:: Anglais

Périodicité:: 2 fois par an
Sujets de la revue:: Ingénierie, Présentations et aperçus, Ingénierie, autres

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