Maximally permissive state feedback logic for controlled time Petri nets

The synthesis of state feedback logic for the control problem of maintaining a predicate on the state set of a timed discrete event system is considered in the setting of controlled time Petri nets. We introduce a kind of invariance for predicates and propose a fixpoint algorithm for computing the extremal invariant predicate. On the basis of this, maximally permissive state feedback logic can be characterized and systematically synthesized