Practical stability analysis of fractional-order impulsive control systems

- Impulsive control systems of fractional order are investigated.
- We extend the vector Lyapunov function method.
- Practical stability notions are introduced.
- We establish theorems on practical stability of impulsive control systems.
- Examples are presented to illustrate the theory.

In this paper we obtain sufficient conditions for practical stability of a nonlinear system of differential equations of fractional order subject to impulse effects. Our results provide a design method of impulsive control law which practically stabilizes the impulse free fractional-order system.