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

Oleg Palumbíny; Martin Neštický

doi:10.2478/rput-2014-0033

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

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

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

By: Oleg Palumbíny and Martin Neštický

Open Access

|Feb 2015

Abstract

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.

References

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DOI: https://doi.org/10.2478/rput-2014-0033 | Journal eISSN: 1338-0532

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Language: English

Page range: 39 - 47

Published on: Feb 6, 2015

Published by: Slovak University of Technology in Bratislava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

nonautonomous nonlinear differential equation,

3-rd order,

quasi-derivative,

stability in Liapunov sense,

asymptotic stability in Liapunov sense,

instability in Liapunov sense

Related subjects:

Engineering,

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© 2015 Oleg Palumbíny, Martin Neštický, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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