Robust D-admissibility in generalized LMI regions for descriptor systems

An LMI-based admissibility test for descriptor systems is investigated in this paper. Necessary and sufficient conditions for checking simultaneously the regularity, impulse immunity (or causal), and all finite eigenvalues locating in a prescribed generalized LMI region, denoted by P, are derived in both nonstrict and strict forms. Based on them, when norm-bounded uncertainty is considered, both nonstrict and strict sufficient conditions are obtained to guarantee robust D-admissibility of the entire family of uncertain systems.