Abstract

This paper studies the notion of frequency response for sampled-data systems, and explores some basic properties as well as its computational procedures. It is shown that: 1) by the lifting technique the notion of frequency response can be naturally justified for sampled-data systems in spite of their time-varying characteristics; 2) it represents a frequency domain steady state behavior; and 3) it is also closely related to the original transfer function representation via an integral formula. It is shown that the computation of the frequency response can be reduced to a finite-dimensional eigenvalue problem, and some examples are presented to illustrate the results. >

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