Homogeneity-based exponential  stability analysis for conformable  fractional-order  systems

Fehmi Mabrouk

doi:10.3842/umzh.v75i10.7280

Fehmi Mabrouk Department of Mathematics, Faculty of Sciences of Sfax, Sfax University, Tunisia

DOI: https://doi.org/10.3842/umzh.v75i10.7280

Keywords: Conformable fractional systems, Homogeneous fractional systems, Lyapunov function, Lyapunov homogeneous function, exponential stability.

Abstract

UDC 517.9

We study the exponential stability of homogeneous fractional time-varying systems, and the existence of Lyapunov homogeneous function for the conformable fractional homogeneous systems. We also prove that local and global behaviors are similar. A numerical example is given to illustrate the efficiency of the obtained results.

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