On the reduction of certain frequency-shaped linear quadratic dissipative design problems to an H/sub /spl infin// formulation

This paper concerns a concept of frequency-based quadratic dissipativity and its reduction to an equivalent H/sub /spl infin// (or /spl mu/) 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.