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

Oleg Palumbíny

Palumbíny, Oleg

and

Martin Neštický

Neštický, Martin

Feb 06, 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

Volume 22 (2014): Issue 35 (December 2014)

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Published Online: Feb 06, 2015

Page range: 39 - 47

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

Keywords
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.

Language:: English

Publication timeframe:: 2 times per year
Journal Subjects:: Engineering, Introductions and Overviews, Engineering, other

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