Is Deterministic Real Time Control Always Necessary? A Time Scales Perspective

Practitioners of feedback control design often must spend a great deal of time and effort dealing with the complexities of deterministic, or “real time” computing. In this paper, we argue that if certain conditions are met, stable feedback control is possible under non-deterministic conditions. In particular, certain classes of linear systems may be uniformly exponentially stabilized by placing the closed-loop poles within an “osculating circle” if the statistics of the controller’s sampling times are known.