On Stability of Certain Class of 3-Rd Order Nonlinear Control Systems
und | 06. Feb. 2015
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Online veröffentlicht: 06. Feb. 2015
Seitenbereich: 39 - 47
DOI: https://doi.org/10.2478/rput-2014-0033
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© 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.