Analyzing non-deterministic real-time systems with (max,+) algebra

We describe a hierarchical technique that allows a class of non deterministic timed Petri nets to be analyzed using the (max,+) algebra (F. Baccelli et al., 1992; G. Brat and V.K. Garg, 1998) of periodic signals. We show that the timing and controllability analysis of such systems is possible via the use of sup- and inf-convolution operations within the (max,+) framework. We apply this technique to the verification of timing constraints in an intelligent structural control system and compare our technique to other modeling tools for real time systems