On All Sets of Optimal Controls for a Control System with State Feedback

We claim the sets of controls for control systems modeled with a multiple and simultaneous control (MSC) approach using controlled Dan/Petri nets, and the net structure Sigma^c(q) is the optimal set compared with controlled Petri nets, however there are other control sets which are still optimal. In this paper we present an algorithm to find all sets of controls which are optimal, posses the MSC-logic and are modeled with a new net structure called Sigma^xf(q), explain the conditions when they are not optimal and a partial order for such sets.