Fault-tolerant tracking control of petri nets

In this paper, the fault-tolerant tracking control of petri nets is considered. The control aim is to steer a petri net in case of faults from an initial marking into a destination marking by an appropriate firing sequence. Sensor, actuator and process faults in the plant are modeled based on four types of faulty transitions. Depending on the characteristics of the faults, two approaches are proposed to handle the faults. The tracking control problem is realized by solving two integer linear programming problems. This two-step approach reduces the computational effort significantly. Faults are taken into account as constraints and by adapting the firing sequence. Finally, an example is given to illustrate the proposed fault-tolerant tracking control approach.

How much information of concurrency can be got from firing sequences in Petri Nets

It is well know in [2, 3] that in general processes in Petri Nets are not recoverable from firing sequences. However, firing sequences in Petri Nets say something about concurrency. The paper presents a way to define concurrency form firing sequences of nets. It turns out that the information of concurrency in a firing sequence characterise all its processes.

Evidence for an unorthodox firing sequence employed by the Berlin Painter: deciphering ancient ceramic firing conditions through high-resolution material characterization and replication

The firing conditions used to produce an Athenian vessel in the 5th century B.C. were determined by XANES spectroscopy.