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Deadlock-Freeness Analysis of Continuous Mono-T-Semiflow Petri Nets

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3 Author(s)
Julvez, J. ; Dept. de Informatica a Ingenieria de Sistemas Centro, Zaragoza Univ. ; Recalde, L. ; Silva, M.

Most verification techniques for highly populated discrete systems suffer from the state explosion problem. The "fluidification" of discrete systems is a classical relaxation technique that aims to avoid the state explosion problem. Continuous Petri nets are the result of fluidifying traditional discrete Petri nets. In continuous Petri nets the firing of a transition is not constrained to the naturals but to the non-negative reals. Unfortunately, some important properties, as liveness, may not be preserved when the discrete net model is fluidified. Therefore, a thorough study of the properties of continuous Petri nets is required. This paper focuses on the study of deadlock-freeness in the framework of mono-T-semiflow continuous Petri nets, i.e., conservative nets with a single repetitive sequence (T-semiflow). The study is developed both on untimed and timed systems. Topological necessary conditions are extracted for this property. Moreover, a bridge relating deadlock-freeness conditions for untimed and timed systems is established

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Automatic Control, IEEE Transactions on  (Volume:51 ,  Issue: 9 )