Mittag-Leffler stability and stabilization of some classes of time-varying fractional systems

Faouzi Omri

doi:10.3842/umzh.v76i8.7564

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

DOI: https://doi.org/10.3842/umzh.v76i8.7564

Keywords: Stabilization, fractional system, linear system, bilinear system, Lyapunov functions, Mittag-Leffler stability.

Abstract

UDC 517.9

We consider some classes of time-varying fractional systems and study the problem of stabilization for these systems with norm-bounded controls. We use time-varying Lyapunov functions to analyze the Mittag-Leffler stability of these systems. A numerical example is given to illustrate the efficiency of the obtained result.

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