Stabilization of singular fractional-order systems: A linear matrix inequality approach

In this study, the problems of stability and stabilization for singular fractional-order (SFO) systems have been studied. For the stability problem, conditions are given such that the SFO system is regular and stable; while for the stabilization problem, we design a state feedback control law which guarantees the resulting closed-loop system is stable. In terms of linear matrix inequality, an explicit expression for the desired state feedback control is given. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed method.