Nonparametric Anisotropy-Based Bounded Real Lemma for Polytopic Descriptor Systems

In this paper, robust anisotropy-based analysis problem for discrete-time descriptor systems with polytopic uncertainties is stated and solved. Sufficient conditions for anisotropic norm boundedness are formulated in terms of linear matrix inequalities. New conditions, being nonparametric ones, are numerically effective, that is illustrated by numerical example.