Mittag-Leffler stability analysis of a class of homogeneous fractional systems

Abstract

In this paper,we start by the research of the existence of Lyapunov homogeneous function for a class of homogeneous fractional Systems, then we shall prove that local and global behaviors are the same. The uniform Mittag-Leffler stability of homogeneous fractional time-varying systems is studied. A numerical example is given to illustrate the efficiency of the obtained results.

Keywords

• homogeneous fractional systems
• lyapunov homogeneous function
• mittag-leffler stability