Stabilization of homogeneous conformable fractional-order systems

Fehmi Mabrouk

doi:10.3842/umzh.v76i12.7689

Fehmi Mabrouk University of Gafsa, Higher Institute of Applied Sciences and Technology of Gafsa, Tunisia

DOI: https://doi.org/10.3842/umzh.v76i12.7689

Keywords: Conformable fractional order systems, Homogeneous fractional sys- tems,Stabilization, control Lyapunov function, Homogeneous feedback, Asymptoti- cally stable.

Abstract

UDC 517.9

We propose an explicit homogeneous feedback control under the assumption that a control Lyapunov function exists for an affine control conformable fractional-order system and satisfies a homogeneity condition. Furthermore, we demonstrate that the existence of a homogeneous control Lyapunov function for a homogeneous affine conformable fractional-order system results in a homogeneous closed-loop system when applying the previous feedback control.

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