---
_id: '1694'
abstract:
- lang: eng
text: "\r\nWe introduce quantitative timed refinement and timed simulation (directed)
metrics, incorporating zenoness checks, for timed systems. These metrics assign
positive real numbers which quantify the timing mismatches between two timed systems,
amongst non-zeno runs. We quantify timing mismatches in three ways: (1) the maximal
timing mismatch that can arise, (2) the “steady-state” maximal timing mismatches,
where initial transient timing mismatches are ignored; and (3) the (long-run)
average timing mismatches amongst two systems. These three kinds of mismatches
constitute three important types of timing differences. Our event times are the
global times, measured from the start of the system execution, not just the time
durations of individual steps. We present algorithms over timed automata for computing
the three quantitative simulation distances to within any desired degree of accuracy.
In order to compute the values of the quantitative simulation distances, we use
a game theoretic formulation. We introduce two new kinds of objectives for two
player games on finite-state game graphs: (1) eventual debit-sum level objectives,
and (2) average debit-sum level objectives. We present algorithms for computing
the optimal values for these objectives in graph games, and then use these algorithms
to compute the values of the timed simulation distances over timed automata.\r\n"
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Vinayak
full_name: Prabhu, Vinayak
last_name: Prabhu
citation:
ama: Chatterjee K, Prabhu V. Quantitative temporal simulation and refinement distances
for timed systems. IEEE Transactions on Automatic Control. 2015;60(9):2291-2306.
doi:10.1109/TAC.2015.2404612
apa: Chatterjee, K., & Prabhu, V. (2015). Quantitative temporal simulation and
refinement distances for timed systems. IEEE Transactions on Automatic Control.
IEEE. https://doi.org/10.1109/TAC.2015.2404612
chicago: Chatterjee, Krishnendu, and Vinayak Prabhu. “Quantitative Temporal Simulation
and Refinement Distances for Timed Systems.” IEEE Transactions on Automatic
Control. IEEE, 2015. https://doi.org/10.1109/TAC.2015.2404612.
ieee: K. Chatterjee and V. Prabhu, “Quantitative temporal simulation and refinement
distances for timed systems,” IEEE Transactions on Automatic Control, vol.
60, no. 9. IEEE, pp. 2291–2306, 2015.
ista: Chatterjee K, Prabhu V. 2015. Quantitative temporal simulation and refinement
distances for timed systems. IEEE Transactions on Automatic Control. 60(9), 2291–2306.
mla: Chatterjee, Krishnendu, and Vinayak Prabhu. “Quantitative Temporal Simulation
and Refinement Distances for Timed Systems.” IEEE Transactions on Automatic
Control, vol. 60, no. 9, IEEE, 2015, pp. 2291–306, doi:10.1109/TAC.2015.2404612.
short: K. Chatterjee, V. Prabhu, IEEE Transactions on Automatic Control 60 (2015)
2291–2306.
date_created: 2018-12-11T11:53:30Z
date_published: 2015-02-24T00:00:00Z
date_updated: 2021-01-12T06:52:34Z
day: '24'
department:
- _id: KrCh
doi: 10.1109/TAC.2015.2404612
ec_funded: 1
intvolume: ' 60'
issue: '9'
language:
- iso: eng
month: '02'
oa_version: None
page: 2291 - 2306
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: IEEE Transactions on Automatic Control
publication_status: published
publisher: IEEE
publist_id: '5450'
quality_controlled: '1'
scopus_import: 1
status: public
title: Quantitative temporal simulation and refinement distances for timed systems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 60
year: '2015'
...