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A MODELING METHOD OF SISO DISCRETE-EVENT SYSTEMS IN MAX-ALGEBRA

This paper deals with the modeling of the time behavior of discrete-event systems in (max, +) algebra. The systems we consider are linearly modeled in this algebra. The proposed method is inspired by conventional linear system theory : from an ARMA form of the model and the system impulse response, the model parameters are computed by using a basic result of Residuation Theory in order to minimize an error criterion.