L∞=L2 Hankel Norm Analysis and Characterization of Critical Instants for Continuous-Time Linear Periodically Time-Varying Systems

This paper is concerned with the Hankel norm analysis of linear periodically time-varying systems. An arbitrary Theta is an element of [0; h) is first taken as the instant separating past and future, where h denotes the period of such systems, and what is called the quasi L-infinity=L-2 Hankel norm at Theta(2) is defined. Then, a computation method of this norm for each Theta is derived. The supremum of the quasi L-infinity=L-2 Hankel norms over Theta is an element of [0; h) is further defined as the L-infinity=L-2 Hankel norm, and it is also shown that it can be computed directly without dealing with any quasi L-infinity=L-2 ar, it is discussed when and how the existence/absence of a critical instant attaining the maximum (and all the values of critical instants, if one exists) can be determined without computing all (or any of) the quasi L-infinity=L-2 Hankel norms over Theta is an element of [0; h).