On the reduction of certain frequency-shaped linear quadraticdissipative design problems to an H∞ formulation

This paper concerns a concept of frequency-based quadratic dissipativity and its reduction to an equivalent H_∞ (or μ) condition. The paper is motivated by the observation that a strictly proper system cannot be strictly passive; hence, results on the synthesis of positive real systems using the Cayley transform directly cannot be applied in most physical situations