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

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  • Palumbíny Oleg
  • 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)

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.

Suggested Citation

  • Palumbíny Oleg & Neštický Martin, 2014. "On Stability of Certain Class of 3-Rd Order Nonlinear Control Systems," Research Papers Faculty of Materials Science and Technology Slovak University of Technology, Sciendo, vol. 22(35), pages 39-47, December.
  • Handle: RePEc:vrs:repfms:v:22:y:2014:i:35:p:39-47:n:5
    DOI: 10.2478/rput-2014-0033
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