Quantized state systems method
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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.
QSS1 approximates the above system by
where and are related by histeretic quantization functions.
High-order QSS method – QSS2 and QSS3
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Backward QSS method – BQSS
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Linearly implicit QSS method – LIQSS
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Theoretical properties
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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] Bergero, Federico and Kofman, Ernesto (2011). "PowerDEVS: a tool for hybrid system modeling and real-time simulation" (first ed.). Society for Computer Simulation International,San Diego.
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