Robustness of Time Petri Nets under Guard Enlargement - Archive ouverte HAL Access content directly
Journal Articles Fundamenta Informaticae Year : 2016

Robustness of Time Petri Nets under Guard Enlargement

(1) , (2) , (3) , (4)


Robustness of timed systems aims at studying whether infinitesimal perturbations in clock values can result in new discrete behaviors. A model is robust if the set of discrete behav- iors is preserved under arbitrarily small (but positive) perturbations. We tackle this problem for time Petri nets (TPNs, for short) by considering the model of parametric guard enlargement which allows time-intervals constraining the firing of transitions in TPNs to be enlarged by a (positive) parameter. We show that TPNs are not robust in general and checking if they are robust with respect to standard properties (such as boundedness, safety) is undecidable. We then extend the marking class timed automaton construction for TPNs to a parametric setting, and prove that it is compatible with guard enlargements. We apply this result to the (undecidable) class of TPNs which are robustly bounded (i.e., whose finite set of reachable markings remains finite under infinitesimal perturbations): we provide two decidable robustly bounded subclasses, and show that one can effectively build a timed automaton which is timed bisimilar even in presence of perturbations. This allows us to apply existing results for timed automata to these TPNs and show further robustness properties.
Fichier principal
Vignette du fichier
HelouetFundamenta15(déposé).pdf (575.89 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01379431 , version 1 (15-12-2016)



Sundararaman Akshay, Loïc Hélouët, Claude Jard, Pierre-Alain Reyniers. Robustness of Time Petri Nets under Guard Enlargement . Fundamenta Informaticae, 2016, 143 (3-4), ⟨10.3233/FI-2016-1312⟩. ⟨hal-01379431⟩
319 View
10 Download



Gmail Facebook Twitter LinkedIn More