Transitory state of neutral continuous marked graphs

Continuous Petri nets are available for the modelling of flow systems and discrete event dynamic systems with a large number of components. More advanced, when all conflicts are already solved, weighted marked graphs structure may be used. These graphs are elementary Petri nets where each place has exactly one input and one output transition and weighted are assigned to arcs. This paper concerns the characterisation of the transitory behaviour of flow systems modelled by neutral continuous marked graph.