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.