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

Palumbíny Oleg () and Neštický Martin ()
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Palumbíny Oleg: Slovak University of Technology, Faculty of Materials Science and Technology in Trnava, Institute of Applied informatics and Mathematics, Hajdóczyho 1, 917 24 Trnava, Slovakia
Neštický Martin: Slovak University of Technology, Faculty of Materials Science and Technology in Trnava, Institute of Applied informatics and Mathematics, Hajdóczyho 1, 917 24 Trnava, Slovakia

Research Papers Faculty of Materials Science and Technology Slovak University of Technology, 2014, vol. 22, issue 35, 39-47

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.

Keywords: nonautonomous nonlinear differential equation; 3-rd order; quasi-derivative; stability in Liapunov sense; asymptotic stability in Liapunov sense; instability in Liapunov sense (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:repfms:v:22:y:2014:i:35:p:39-47:n:5

DOI: 10.2478/rput-2014-0033

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