THE L∞/L2 HANKEL OPERATOR/NORM OF SAMPLED-DATA SYSTEMS.

This paper is concerned with the Hankel operator and the Hankel norm of sampled-data systems. Even though these systems are intrinsically periodically time-varying, no studies have taken this important feature into account in the treatment of the Hankel operator/norm. We characterize the Hankel operator/norm of sampled-data systems adequately under the treatment with the L2 norm for the past input and the L∞ norm for the future output. Such treatment still captures the essential issue on the periodicity but contributes to neat arguments compared with the case when the L2 norm is also considered on the future output. [ABSTRACT FROM AUTHOR]