Modelling differential equations by basic information technology means

Mechatronic Systems

“…In order also to correctly take account of the timing of the individual components it is necessary to add in a concept of time. So in [47] two delays are assumed for a transition. One relates to the period of time for which the markings must be present at the input places before the associated transition can fire.…”

“…The strength of Pr/T networks lies in the effective consideration of parallel processes. Brielmann et al [46], [47], [48] and Kleinjohann et al [199] introduce methods for describing mechanics and other physical domains, plus the associated interfaces using the resources of the Pr/T networks. Such model transformations thus provide the option of describing and simulating mixed systems in a consistent manner.…”

Hybrid Systems: Computation and Control.

“…A second way is the direct transformation of differential equations into Pr/T-Nets as described in [Bri95]. In this case the differential equations have to be discretized.…”

Using Extended Predicate/Transition-Nets for the Specification, Analysis and Synthesis of Embedded Real-Time Systems

“…Depending on how skillful this transformation was performed a more or less complex Prtr-Net is created that realizes the specification. A transformation for differential equations is presented in (Brielmann, 1995). An example for the transformation of SDL (Specification and Description Language) is shown in (Kleinjohann, 1997).…”