Robust stability criterion of fractional-order functions for interval fractional-order systems

This study presents a sufficient and necessary stability condition for the stability of interval fractional-order systems. An effective constructive method of the value set on the disturbance function of an interval fractional-order system is investigated to reduce the burden of computations for the redundant vertices and edges. Based on the zero exclusion principle, a test function and terminal conditions are proposed to verify the stability of interval fractional-order systems. Finally, a numerical example is given to illustrate the effectiveness of this proposed stability theorem.