Anatoliy A. Martynyuk, Ivanka M. Stamova
Abstract:
This article discusses the application of a fractional-like derivative of
Lyapunov-type functions in the stability analysis of solutions of perturbed
motion equations with a fractional-like derivative of the state vector.
The main theorems of the direct Lyapunov method for this class of motion
equations are established.
Submitted February 12, 2018. Published March 6, 2018.
Math Subject Classifications: 34A08, 34D20, 34E20.
Key Words: Fractional-like derivative; Lyapunov method; stability;
asymptotic stability; instability.
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Anatoliy A. Martynyuk S.P. Timoshenko Institute of Mechanics NAS of Ukraine 3 Nesterov str. 03057, Kiev-57, Ukraine email: center@inmech.kiev.ua |
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Ivanka M. Stamova Department of Mathematics University of Texas at San Antonio One UTSA Circle, San Antonio, TX 78249, USA email: ivanka.stamova@utsa.edu |
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