document: Quantized-State Systems : A DEVS-approach for continuous system simulation A new class of dynamical systems , Quantized State Systems or QSS , is introduced in this paper . QSS are continuous time systems where the input trajectories are piecewise constant functions and the state variable trajectories - being themselves piecewise linear functions - are converted into piecewise constant functions via a quantization function equipped with hysteresis . It is shown that QSS can be exactly represented and simulated by a discrete event model , within the framework of the DEVS-approach . Further , it is shown that QSS can be used to approximate continuous systems , thus allowing their discrete-event simulation in opposition to the classical discrete-time simulation . It is also shown that in an approximating QSS , some stability properties of the original system are conserved and the solutions of the QSS go to the solutions of the original system when the quantization goes to zero
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