A LINEAR SYSTEM THEORY FOR SYSTEMS SUBJECT TO SYNCHRONIZATION AND SATURATION CONSTRAINTS
Max Plus · 1991
Abstract A linear system theory is developped for a class of continuous and discrete Systems subject to Synchronization and Saturations that we call S 3. This class provides a generalization of a particular class of timed discrete event systems which can be modeled as event graphs. The development is based on a linear modeling of S 3 in the min-plus algebra. This allows us to extend elementary notions and a number of results of conventional linear systems to S 3. In particular, notions of causality, time-invariance, impulse response, convolution, transfer function and rationality are considered.