Reduction of timed hybrid systems

S. D.I. Gennaro; C. Horn; S. R. Kulkarni; P. J. Ramadge

doi:10.1023/A:1008385431572

Reduction of timed hybrid systems

S. D.I. Gennaro, C. Horn, S. R. Kulkarni, P. J. Ramadge

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We consider a class of hybrid dynamical systems and obtain conditions under which the behavior of these systems can be reduced to a finite state automaton. Specifically, we consider timed automata with more general enabling regions coupling the continuous and discrete dynamics than those previously considered. We provide a necessary condition for the existence of a finite state reduction, together with examples showing that this condition is not sufficient. We then give two sufficient conditions that provide a large class of systems with general enabling regions which admit finite reductions.

Original language	English (US)
Pages (from-to)	343-351
Number of pages	9
Journal	Discrete Event Dynamic Systems: Theory and Applications
Volume	8
Issue number	4
DOIs	https://doi.org/10.1023/A:1008385431572
State	Published - Dec 1998

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Modeling and Simulation
Electrical and Electronic Engineering

Keywords

Finite state automaton
Hybrid systems
Reduction
Timed automata

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10.1023/A:1008385431572

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title = "Reduction of timed hybrid systems",

abstract = "We consider a class of hybrid dynamical systems and obtain conditions under which the behavior of these systems can be reduced to a finite state automaton. Specifically, we consider timed automata with more general enabling regions coupling the continuous and discrete dynamics than those previously considered. We provide a necessary condition for the existence of a finite state reduction, together with examples showing that this condition is not sufficient. We then give two sufficient conditions that provide a large class of systems with general enabling regions which admit finite reductions.",

keywords = "Finite state automaton, Hybrid systems, Reduction, Timed automata",

author = "Gennaro, {S. D.I.} and C. Horn and Kulkarni, {S. R.} and Ramadge, {P. J.}",

note = "Funding Information: Research partially supported by the National Science Foundation under grants ECS-9022634, ECS-9216450, IRI-9209577, and IRI-9457645, by the U.S. Army Research Office under grant DAAL03-92-G-0320, by EPRI under grant RP8030-18, and in the case of the first author by Italian ASI RS157/92 funds. Please address correspondence to the last author.",

year = "1998",

month = dec,

doi = "10.1023/A:1008385431572",

language = "English (US)",

volume = "8",

pages = "343--351",

journal = "Discrete Event Dynamic Systems: Theory and Applications",

issn = "0924-6703",

publisher = "Springer Netherlands",

number = "4",

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TY - JOUR

T1 - Reduction of timed hybrid systems

AU - Gennaro, S. D.I.

AU - Horn, C.

AU - Kulkarni, S. R.

AU - Ramadge, P. J.

N1 - Funding Information: Research partially supported by the National Science Foundation under grants ECS-9022634, ECS-9216450, IRI-9209577, and IRI-9457645, by the U.S. Army Research Office under grant DAAL03-92-G-0320, by EPRI under grant RP8030-18, and in the case of the first author by Italian ASI RS157/92 funds. Please address correspondence to the last author.

PY - 1998/12

Y1 - 1998/12

N2 - We consider a class of hybrid dynamical systems and obtain conditions under which the behavior of these systems can be reduced to a finite state automaton. Specifically, we consider timed automata with more general enabling regions coupling the continuous and discrete dynamics than those previously considered. We provide a necessary condition for the existence of a finite state reduction, together with examples showing that this condition is not sufficient. We then give two sufficient conditions that provide a large class of systems with general enabling regions which admit finite reductions.

AB - We consider a class of hybrid dynamical systems and obtain conditions under which the behavior of these systems can be reduced to a finite state automaton. Specifically, we consider timed automata with more general enabling regions coupling the continuous and discrete dynamics than those previously considered. We provide a necessary condition for the existence of a finite state reduction, together with examples showing that this condition is not sufficient. We then give two sufficient conditions that provide a large class of systems with general enabling regions which admit finite reductions.

KW - Finite state automaton

KW - Hybrid systems

KW - Reduction

KW - Timed automata

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DO - 10.1023/A:1008385431572

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JO - Discrete Event Dynamic Systems: Theory and Applications

JF - Discrete Event Dynamic Systems: Theory and Applications

IS - 4

ER -

Reduction of timed hybrid systems

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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