Work

Stabilization of homogeneous conformable fractional-order systems

Year: 2024

Type: article

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.

Source: Ukrains’kyi Matematychnyi Zhurnal

DOI: 10.3842/umzh.v76i12.7689

Author: Fehmi Mabrouk

Institution: University of Gafsa

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405950187

FWCI:

Cites: 28

Cited by:

Related to: 10