Abstract
This paper introduces the notion of γ-positive realness into sampled-data control systems and gives a method for synthesizing such a system. This is achieved by means of the Cayley transform of the closed-loop system, and the well-known lifting technique plays a fundamental role to this end. Phase property of sampled-data systems, together with that of MIMO continuous-time systems, is discussed in relation to the γ-positive realness. An example is given to illustrate the result.