Stabilization of  a class of $\psi$-Caputo fractional  homogeneous polynomial systems

Faouzi Omri

doi:10.3842/umzh.v76i10.7859

Faouzi Omri Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Tunisia

DOI: https://doi.org/10.3842/umzh.v76i10.7859

Keywords: Stability, stabilization, ψ-Caputo fractional homogenous system, Lyapunov functions

Abstract

UDC 517.9

In a constructive way, we study the problem of stabilization of $\psi$-Caputo fractional homogeneous polynomial systems. By using the Lyapunov functions, we construct stabilizing feedback laws for the analyzed fractional system. A numerical example is given to illustrate the efficiency of the obtained result.

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