Brielmann, M.: Modelling differential equations by basic information technology means. Proceedings of the 5th International Conference on Computer Aided Systems, Theory and Technology (EUROCAST'95), Innsbruck, Austria, May, 1995. Home/Search Document Not in Database Summary Related Articles Check |
This paper is cited in the following contexts:
Integrated Design and Simulation of Hybrid Systems - Lehrenfeld, Naumann, al. (1998) (1 citation) (Correct)
....be used as input for the continuous model and the output can be imported via the variables of the output edges into the Pr T Net. Section 0 contains an example for this integration method. A second possibility is the direct transformation of differential equations into Pr T Nets as described in [Brielmann95]. In this case the differential equations have to be discretized. Another possibility is the use of predefined library elements for example from a block diagram library for differential equations to rebuild the specified continuous system parts. Fig. 3 shows an example for an electric motor ....
Brielmann, M.: Modelling differential equations by basic information technology means. Proceedings of the 5th International Conference on Computer Aided Systems, Theory and Technology (EUROCAST'95), Innsbruck, Austria, May, 1995.
Integrated Design and Simulation of Hybrid Systems - Lehrenfeld, Naumann.. (1998) (1 citation) (Correct)
....can be used as input for the continuous model and the output can be imported via the variables of the output edges into the Pr T Net. Section 3.2 contains an example for this integration method. A second way is the direct transformation of differential equations into Pr TNets as described in [Bri95]. In this case the differential equations have to be discretized. Another possibility is the use of predefined library elements for example from a block diagram library for differential equations to rebuild the specified continuous system parts. Fig. 4 shows as an example the specification of a ....
M. Brielmann. Modelling differential equations by basic information technology means. In Proceedings of the 5th International Conference on Computer Aided Systems, Theory and Technology (EUROCAST'95), Innsbruck, Austria, May 1995.
A design environment using High-Level Petri-Nets as.. - Kleinjohann, Tacken.. (1997) (1 citation) (Correct)
....them to construct such a block diagram. The standard graphical representation, which is normally hidden, shows the underlying Petri Net realization. It is based upon a discretization of differential equations using rectangle backward integration (a detailed explanation of this method is given in [Bri95]) Of course the discretization is a loss of information but for our purposes this is not a disadvantage because continuous controllers usually are realized in their discretized form. Similar libraries also exist for discrete models, e.g. data flow graphs or asynchronous hardware on gate level. ....
Maria Brielmann. Modelling differential equations by basic information technology means. In Proceedings of the 5th International Conference on Computer Aided Systems, Theory and Technology (EUROCAST'95), Innsbruck, Austria, May 1995.
Hybrid High-Level Nets - Wieting (1996) (7 citations) (Correct)
....into highlevel Petri nets. First ideas from this conclusion have been presented in Wieting and Sonnenschein (1995) A more detailed description of the new approach is presented in Section 3. A slightly different approach which is also based on a class of high level Petri nets is presented in (Brielmann 1995). In this approach extended Predicate Transition Nets serve as a basis and first order differential equations are used to describe continuous systems behavior. But in contrast to my proposal the differential equations are transformed into according difference equations before they are modeled ....
Brielmann, M. 1995. Modelling Differential Equations by Basic Information Technology Means.
Simulation of Hybrid Mechatronic Systems: a Case Study - Brielmann, Stroop.. (1997) (2 citations) Self-citation (Brielmann) (Correct)
....amount of time. The transformation of the block diagram is not that straight forward. A continuous description has to be mapped into a discrete formalism. Here, only the result of the transformation of the example is shown. A more general solution of this problem has already been described in [4, 3]. Most of the blocks of the block diagram perform calculations which can easily be transformed into transitions annotated by these calculations. The real problem arises by regarding the blocks doing the integration of a signal. Here, also information about the history of the signal is required. ....
M. Brielmann. Modelling Differential Equations by Basic Information Technology Means. In Computer Aided Systems Theory --- EUROCAST '95, pages 163--174, Innsbruck, Austria, 1995. Springer Verlag. LNCS 1030.
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