Existence results and stabilization of homogeneous conformable fractional order systems

Abstract

In this paper, we give results on the stability of homogeneous conformable fractional order systems using assumptions on a family of compact sets and provide the stabilization of an affine control system and given an explicit homogeneous feedback control with the requirement that a control Lyapunov function exists and satisfying a homogeneous condition and we present existence and uniqueness theorems for sequential linear conformable fractional differential equations.

Keywords

• conformable fractional order systems
• homogeneous fractional systems
• stabilization
• fractional problems solutions
• lyapunov function
• sequential linear fractional differential equations