Abstract: According To the restricted equivalent decomposition of matrix pencil in the regular and impulse-free (removal of impulse) descriptor system, the order reduction was done further for the system to solve the problem of decentralized robust stabilization of uncertain interconnected large-scale descriptor systems. By the theory of linear matrix inequalities, the sufficient conditions are given to the robust stabilization of both uncertain descriptor systems and uncertain interconnected large-scale descriptor systems, as well as the design method of the relevant state feedback controller. The difference between static and dynamic modes in the abilities to overcome the uncertainties, resist interference and eliminate the influence of relevant terms is also revealed.