<abstract xmlns="http://www.w3.org/1999/xhtml"> 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. </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.

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

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

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

{"article-title":"On Stability of Certain Class of 3-Rd Order Nonlinear Control Systems"}

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...

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

Publicado en línea: 06 feb 2015

Páginas: 39 - 47

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

Palabras clave
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.

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

Publicado en línea: 06 feb 2015

Páginas: 39 - 47

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

Palabras clavenonautonomous 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.

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