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.

Software implementation

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

References

• [CK06] {{#invoke:citation/CS1|citation

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• [BK11] Template:Cite news

External links

• Stand-alone implementation of QSS Methods
• PowerDEVS at SourceForge