Periodicity and chaos from switched flow systems: contrasting examples of discretely controlled continuous systems

Two examples of the discrete control of a continuous variable system are analyzed. These examples exhibit what may be regarded as the two extremes of complexity of the closed-loop behavior: one is eventually periodic, the other is chaotic. The examples are derived from sampled deterministic flow models. These are of interest in their own right but have also been used as models for certain aspects of manufacturing systems. In each case, the authors give a precise characterization of the closed-loop behavior