Stabilization of homogeneous conformable fractional-order systems
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.
Authors
- Fehmi Mabrouk (ORCID: https://orcid.org/0000-0002-3527-9537)
Institutions
- University of Gafsa (TN)
Publication Details
- Journal
- Ukrains’kyi Matematychnyi Zhurnal
- Published
- 2024-12-31
- DOI
- https://doi.org/10.3842/umzh.v76i12.7689
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00