SPeeDI – a verification tool for polygonal hybrid systems. (English) Zbl 1010.68791

Asarin, Eugene; Pace, Gordon; Schneider, Gerardo; Yovine, Sergio

Brinksma, Ed (ed.) et al., Computer aided verification. 14th international conference, CAV 2002, Copenhagen, Denmark, July 27-31, 2002. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2404, 354-358 (2002).

Introduction: Hybrid systems combining discrete and continuous dynamics arise as mathematical models of various artificial and natural systems, and as an approximation to complex continuous systems. A very important problem in the anajysis of the behavior of hybrid systems is reachability. It is well-known that for most nontrivial subclasses of hybrid systems this and all interesting verification problems are undecidable. Most of the proved decidability results rely on stringent hypothesis that lead to the existence of a finite and computable partition of the state space into classes of states which are equivalent with respect to reachability. This is the case for classes of rectangular automata and hybrid automata with linear vector fields. Most implemented computational procedures resort to (forward or backward) propagation of constraints, typically (unions of convex) polyhedra or ellipsoids. In general, these techniques provide semi-decision procedures, that is, if the given final set of states is reachable, they will terminate, otherwise they may fail to. Maybe the major drawback of set-propagation, reach-set approximation procedures is that they pay little attention to the geometric properties of the specific (class of) systems under analysis. An interesting and still decidable class of hybrid system are the (two-dimensional) polygonal differential inclusions (or SPDI for short).
For the entire collection see [Zbl 0993.00049].

MSC:

68U99	Computing methodologies and applications
68Q60	Specification and verification (program logics, model checking, etc.)

Citations:

Zbl 0993.00049

Software:

SPeeDI