The analysis of sampled-data systems

THERE IS AN important class of feedback control systems known as sampled-data systems in which the data at one or more points consist of trains of pulses or sequences of numbers. Such systems may be analyzed by the use of classical difference equation techniques or by employing the Laplace and Fourier transform methods. It is the purpose of this article to unify and extend the latter methods of analysis of sampled-data systems, and to formulate the input-output relationships for such systems in the frequency domain.