Steady state control, zero valued poles and token conservation laws in continuous net systems ?

Abstract. The control problem for continuous Petri nets under infinite server semantics is approached in this paper. First, some characterizations of equilibrium points in steady-state are given. Being piecewise linear systems, for every linear system we present results that will characterize the possible steady-states. Second, optimal control for steady-state is studied, a problem that surprisingly can be computed in polynomial time, when all transitions are control-feasible. Third, an interpretation of controllability aspects in the framework of linear dynamic system is presented.