Practical stability for nonlinear systems with generalized conformable derivative

Abstract

In this study, we give the stability analysis of a class of nonlinear systems with a generalized conformable derivative, which guarantees that their solutions converge to a ball centered at the origin. The theoretical foundations of the practical stability are investigated in this work. Furthermore, the concept is elucidated with an application. Finally, the theoretical findings offered are illustrated with two numerical examples.

Keywords

• general conformable derivative
• lyapunov function