Fault diagnosis based on timed automata: Diagnoser verification

The paper deals with the supervisory control problem based on vector synchronous product (VSP) of automata. A necessary and sufficient condition for the existence of such a controller is given, which is based on the notion of vs-controllability. Furthermore, a more general framework called vector synchronous product with communication is proposed. In addition, isomorph and homomorph of two VSPs are defined. Some simplified traffic examples are used to illustrate the notions and the result