Technical Report
Hybrid System Model
Author(s): Thomas Stauner, Bernhard Rumpe, Peter Scholz
Year: 1999
Number: TUM-I9903
Editor:
CR Classification: C.3, D.3.1
CR General Terms: Theory, Design , Languages
Keywords: system model, hybrid systems, streams, formal methods
Abstract:In this paper we provide a mathematical characterization of systems, that
contain analog components, as well as strongly time depended control
components
and rather time independent information processing
components. The presented
system model is based on the notion of
streams and stream processing functions.
It is used to
formalize and integrate the semantics of different description
techniques that occur in disciplines like computer science,
economics,
electrical and electronical engineering, and mechanical
engineering.
In the
paper we develop a hierarchy of models. We start with a core
model that allows
us to describe both discrete and continuous, that
is, hybrid behavior.
Abstractions and refinements of this core model
allow to connect to given
models for discrete timed and untimed systems.
The system model presented here
is intended to be the base layer for
other system models.
Available as compressed Postscript
BibTeX-Entry:
@techreport{SRS99,
author = {Thomas Stauner and Bernhard Rumpe and Peter Scholz},
title = {Hybrid System Model},
number = {TUM-I9903},
institution = {Technische Univerit\"at M\"unchen},
year = {1999},
url = {http://www4.informatik.tu-muenchen.de/reports/SRS99.html},
abstract = {In this paper we provide a mathematical characterization of systems, that
contain analog components, as well as strongly time depended control
components
and rather time independent information processing
components. The presented
system model is based on the notion of
streams and stream processing functions.
It is used to
formalize and integrate the semantics of different description
techniques that occur in disciplines like computer science,
economics,
electrical and electronical engineering, and mechanical
engineering.
In the
paper we develop a hierarchy of models. We start with a core
model that allows
us to describe both discrete and continuous, that
is, hybrid behavior.
Abstractions and refinements of this core model
allow to connect to given
models for discrete timed and untimed systems.
The system model presented here
is intended to be the base layer for
other system models.},
CRClassification = {C.3, D.3.1},
CRGenTerms = {Theory, Design , Languages}}