Subanalytic Stratifications and Bisimulations

Decidability results for the veriication of hybrid systems consist of constructing special nite state quotients called bisimulations whose properties are equivalent to those of the original innnite state system. This approach has had success in the case of timed automata and linear hybrid automata. In this paper, the powerful framework of stratiication theory and subanalytic sets is presented and used in order to obtain bisimulations of certain analytic vector elds on analytic manifolds.