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] Francois E. Cellier and Ernesto Kofman (2006). Continuous System Simulation (first ed.). Springer. ISBN 978-0-387-26102-7.

• [BK11] Template:Cite article

External links

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