Controllability of Sampled-Data Piecewise Affine Systems

Abstract

This paper discusses the controllability problem for a class of continuous-time piecewise affine (PWA) systems with the sampled-data autonomous switching, which we call here the sampled-data PWA systems. First, the four concepts of controllability are introduced based on the aspects of the continuous/discrete state and of the continuous/discrete time, and some inclusion relations among them are discussed. Next, easily checkable, (necessary and) sufficient conditions for the system to be controllable are derived.