Quantized state systems method

The quantized state systems (QSS) methods [CK06] are a family of numerical integration solvers based on the idea of state quantization.

First-order QSS method – QSS1

Let an initial value problem be specified as follows.

{\dot {x}}=f(t,x),\quad x(t_{0})=x_{0}.

QSS1 approximates the above system by

{\dot {x}}=f(t,q)

where $x$ and $q$ are related by histeretic quantization functions.

The QSS Methods can be implemented as a discrete event system and simulated in any DEVS simulator.

QSS methods constitute the main numerical solver for PowerDEVS [BK011] software. They have also been implemented in as a stand alone version

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