Complete controllability of linear fractional differential systems with singularity (Q1664803)

Summary: This paper is concerned with the controllability of a class of linear fractional differential systems with singularity. The method which is used to deal with the fast subsystem \(N \cdot^c D_{0, t}^\alpha x_2(t) = x_2(t) + B_2 u(t)\) and \(y_2(t) = C_2 x_2(t)\) is an improvement of the known ones. Based on the movement orbit of the state equation, we obtain several controllability criteria which are sufficient and necessary.