On the dynamic response and stability of sampled-data non-linear time-varying feedback systems

Abstract

Time-domain analysts is used to examine the stability of sampled-data feedback systems comprising a time-varying plant and a time-varying non-linearity. Three aspects of the systems dynamic response are given a unified treatment : bounded-ness. unboundedness, and asymptotic decay. In addition to qualitative criteria, the results provide quantitative bounds on the system response, and indicate its explicit dependence on the sampling rate.