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Structures for Reachability Problems of Multirate Hybrid Systems

This paper investigates symbolic reachability issue of multirate hybrid systems. To this end, a constraint system called multirate zone is formalized for the representation and manipulation of multirate automata. To represent multirate zones, a data structure difference bound matrix for multirate zones is defined. In addition, to handle unions of multirate zones and data sharing, a BDD-like data structure multirate hybrid diagram is also defined. These enable us to do symbolic reachability analysis of multirate automata in an efficient way.