Model Checking Multirate Hybrid Systems with Restricted Convex Polyhedron

Model checking is a promising and powerful approach to automatic verification of systems. To deal with the model checking issue of multirate hybrid systems, a constraint system called multirate zone is formalized for the representation and manipulation of multirate hybrid automata state-spaces. A multirate zone is a restricted convex polyhedron represented by a conjunction of inequalities comparing either a variable value or a linear expression of two variables to a rational number. Model checking procedures for multirate hybrid systems based on timed computation tree logic are given. The Multirate zone is proved to be closed to the operations required in these model checking procedures, which enables it to be used as the basis for the infinite state-space exploring of multirate hybrid automata.