Title | ||
---|---|---|
Simulating Hybrid Petri nets with general transitions and non-linear differential equations |
Abstract | ||
---|---|---|
Hybrid Petri nets with general transitions (HPnGs) are a modeling formalism with discrete, continuous and random variables, and have successfully been used to model critical infrastructures. Previous work extended the continuous dynamics to linear time-invariant systems, simulated via a quantized state space approach in the tool HYPEG. This method discretizes the state space to approximate solutions of the linear time-invariant systems.
This paper extends the set of equations to non-linear ordinary differential equations (ODEs) by adding well known time-discrete methods. These can now be integrated in an extendable way, since HYPEG has been adapted to deal with time-discretization as part of this work. The results of the new implementation are validated on a battery model with linear ODEs and furthermore used to compute results for a heating model with non-linear ODEs.
|
Year | DOI | Venue |
---|---|---|
2020 | 10.1145/3388831.3388842 | VALUETOOLS '20: 13th EAI International Conference on Performance Evaluation Methodologies and Tools
Tsukuba
Japan
May, 2020 |
DocType | ISBN | Citations |
Conference | 978-1-4503-7646-4 | 1 |
PageRank | References | Authors |
0.35 | 0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mathis Niehage | 1 | 1 | 0.69 |
Carina Pilch | 2 | 4 | 1.73 |
Anne Remke | 3 | 175 | 23.96 |