Fractional-like derivative of Lyapunov-type functions and applications to stability analysis of motion

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.

Keywords

• Fractional-like derivative
• Lyapunov method
• stability
• asymptotic stability
• instability