Discrete Abstractions of Hybrid Systems
Files
Penn collection
Degree type
Discipline
Subject
decidability
hybrid systems
logic
model checking
discrete systems
temporal logic
continuous dynamics
discrete abstractions
discrete systems
o-minimal hybrid systems
rectangular hybrid systems
temporal logic
timed hybrid systems
Funder
Grant number
License
Copyright date
Distributor
Related resources
Author
Contributor
Abstract
A hybrid system is a dynamical system with both discrete and continuous state changes. For analysis purposes, it is often useful to abstract a system in a way that preserves the properties being analyzed while hiding the details that are of no interest. We show that interesting classes of hybrid systems can be abstracted to purely discrete systems while preserving all properties that are definable in temporal logic. The classes that permit discrete abstractions fall into two categories. Either the continuous dynamics must be restricted, as is the case for timed and rectangular hybrid systems, or the discrete dynamics must be restricted, as is the case for o-minimal hybrid systems. In this paper, we survey and unify results from both areas.