Abstract
This paper proposes a generalized KYP-type matrix inequality that provides a necessary and sufficient condition of dissipativity of descriptor systems. While known bounded or positive-real inequalities are only valid for descriptor systems with particular realization of them, the proposed inequality condition is independent of the realization of descriptor systems. Thus the new inequality is used for analysis of descriptor systems with freely selected realization. Further, the proposed inequality is applicable not only to bounded and positive-realness but to dissipativity with respect to supply rates given by an arbitrary quadratic form of the input and the output.
