A Linear System Theory for Systems Subject to Synchronization and Saturation Constraints
نویسندگان
چکیده
A linear system theory is developped for a class of continuous and discrete Systems subject to Synchronization and Saturations that we call S3. 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 S3 in the min-plus algebra. This allows us to extend elementary notions and a number of results of conventional linear systems to S3. In particular, notions of causality, time-invariance, impulse response, convolution, transfer function and rationality are considered.
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