Robust pole clustering for descriptor systems with norm-bounded uncertainty

For descriptor systems with norm-bounded unstructured uncertainty that interconnects in a linear fractional form, this paper addresses conditions under which, in addition to regularity and impulse immunity, all finite poles of the entire family of uncertain descriptor systems are located in various LMI regions. Depending on different classes of LMI regions, we have derived sufficient LMI conditions so that robust admissibility of the considered system can be verified by tractable LMI feasibility tests