General predictor in the algebra of dioids

Philippe Declerck, R. Guihur · 2003

Discrete event systems undergo perturbations that disrupt the control system and reduce the capacities of anticipation of the future evolution of the process. In the (max, +) algebra, processes modelled by a timed event graph may be represented by a linear model. The knowledge of the model and of the initial conditions enable us to characterise the state vector with a state equation iteration but the perturbations can generate a misappreciation of the state vector. The aim of the paper is to predict the output trajectory and to make temporal control synthesis when the state vector is unknown.

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