---
_id: '9200'
abstract:
- lang: eng
text: Formal design of embedded and cyber-physical systems relies on mathematical
modeling. In this paper, we consider the model class of hybrid automata whose
dynamics are defined by affine differential equations. Given a set of time-series
data, we present an algorithmic approach to synthesize a hybrid automaton exhibiting
behavior that is close to the data, up to a specified precision, and changes in
synchrony with the data. A fundamental problem in our synthesis algorithm is to
check membership of a time series in a hybrid automaton. Our solution integrates
reachability and optimization techniques for affine dynamical systems to obtain
both a sufficient and a necessary condition for membership, combined in a refinement
framework. The algorithm processes one time series at a time and hence can be
interrupted, provide an intermediate result, and be resumed. We report experimental
results demonstrating the applicability of our synthesis approach.
acknowledgement: This research was supported in part by the Austrian Science Fund
(FWF) under grant Z211-N23 (Wittgenstein Award) and the European Union’s Horizon
2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement
No. 754411.
article_processing_charge: No
author:
- first_name: Miriam
full_name: Garcia Soto, Miriam
id: 4B3207F6-F248-11E8-B48F-1D18A9856A87
last_name: Garcia Soto
orcid: 0000-0003-2936-5719
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000-0002-2985-7724
- first_name: Christian
full_name: Schilling, Christian
id: 3A2F4DCE-F248-11E8-B48F-1D18A9856A87
last_name: Schilling
orcid: 0000-0003-3658-1065
citation:
ama: 'Garcia Soto M, Henzinger TA, Schilling C. Synthesis of hybrid automata with
affine dynamics from time-series data. In: HSCC ’21: Proceedings of the 24th
International Conference on Hybrid Systems: Computation and Control. Association
for Computing Machinery; 2021:2102.12734. doi:10.1145/3447928.3456704'
apa: 'Garcia Soto, M., Henzinger, T. A., & Schilling, C. (2021). Synthesis of
hybrid automata with affine dynamics from time-series data. In HSCC ’21: Proceedings
of the 24th International Conference on Hybrid Systems: Computation and Control
(p. 2102.12734). Nashville, TN, United States: Association for Computing Machinery.
https://doi.org/10.1145/3447928.3456704'
chicago: 'Garcia Soto, Miriam, Thomas A Henzinger, and Christian Schilling. “Synthesis
of Hybrid Automata with Affine Dynamics from Time-Series Data.” In HSCC ’21:
Proceedings of the 24th International Conference on Hybrid Systems: Computation
and Control, 2102.12734. Association for Computing Machinery, 2021. https://doi.org/10.1145/3447928.3456704.'
ieee: 'M. Garcia Soto, T. A. Henzinger, and C. Schilling, “Synthesis of hybrid automata
with affine dynamics from time-series data,” in HSCC ’21: Proceedings of the
24th International Conference on Hybrid Systems: Computation and Control,
Nashville, TN, United States, 2021, p. 2102.12734.'
ista: 'Garcia Soto M, Henzinger TA, Schilling C. 2021. Synthesis of hybrid automata
with affine dynamics from time-series data. HSCC ’21: Proceedings of the 24th
International Conference on Hybrid Systems: Computation and Control. HSCC: International
Conference on Hybrid Systems Computation and Control, 2102.12734.'
mla: 'Garcia Soto, Miriam, et al. “Synthesis of Hybrid Automata with Affine Dynamics
from Time-Series Data.” HSCC ’21: Proceedings of the 24th International Conference
on Hybrid Systems: Computation and Control, Association for Computing Machinery,
2021, p. 2102.12734, doi:10.1145/3447928.3456704.'
short: 'M. Garcia Soto, T.A. Henzinger, C. Schilling, in:, HSCC ’21: Proceedings
of the 24th International Conference on Hybrid Systems: Computation and Control,
Association for Computing Machinery, 2021, p. 2102.12734.'
conference:
end_date: 2021-05-21
location: Nashville, TN, United States
name: 'HSCC: International Conference on Hybrid Systems Computation and Control'
start_date: 2021-05-19
date_created: 2021-02-26T16:30:39Z
date_published: 2021-05-01T00:00:00Z
date_updated: 2023-08-07T13:49:33Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1145/3447928.3456704
ec_funded: 1
external_id:
arxiv:
- '2102.12734'
isi:
- '000932821700028'
file:
- access_level: open_access
checksum: 4c1202c1abf71384c3ee6fea88c2f80e
content_type: application/pdf
creator: kschuh
date_created: 2021-05-25T13:53:22Z
date_updated: 2021-05-25T13:53:22Z
file_id: '9424'
file_name: 2021_HSCC_Soto.pdf
file_size: 1474786
relation: main_file
success: 1
file_date_updated: 2021-05-25T13:53:22Z
has_accepted_license: '1'
isi: 1
keyword:
- hybrid automaton
- membership
- system identification
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '05'
oa: 1
oa_version: Published Version
page: '2102.12734'
project:
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 'HSCC ''21: Proceedings of the 24th International Conference on Hybrid
Systems: Computation and Control'
publication_identifier:
isbn:
- '9781450383394'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Synthesis of hybrid automata with affine dynamics from time-series data
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
_id: '6493'
abstract:
- lang: eng
text: We present two algorithmic approaches for synthesizing linear hybrid automata
from experimental data. Unlike previous approaches, our algorithms work without
a template and generate an automaton with nondeterministic guards and invariants,
and with an arbitrary number and topology of modes. They thus construct a succinct
model from the data and provide formal guarantees. In particular, (1) the generated
automaton can reproduce the data up to a specified tolerance and (2) the automaton
is tight, given the first guarantee. Our first approach encodes the synthesis
problem as a logical formula in the theory of linear arithmetic, which can then
be solved by an SMT solver. This approach minimizes the number of modes in the
resulting model but is only feasible for limited data sets. To address scalability,
we propose a second approach that does not enforce to find a minimal model. The
algorithm constructs an initial automaton and then iteratively extends the automaton
based on processing new data. Therefore the algorithm is well-suited for online
and synthesis-in-the-loop applications. The core of the algorithm is a membership
query that checks whether, within the specified tolerance, a given data set can
result from the execution of a given automaton. We solve this membership problem
for linear hybrid automata by repeated reachability computations. We demonstrate
the effectiveness of the algorithm on synthetic data sets and on cardiac-cell
measurements.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Miriam
full_name: Garcia Soto, Miriam
id: 4B3207F6-F248-11E8-B48F-1D18A9856A87
last_name: Garcia Soto
orcid: 0000−0003−2936−5719
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Christian
full_name: Schilling, Christian
id: 3A2F4DCE-F248-11E8-B48F-1D18A9856A87
last_name: Schilling
orcid: 0000-0003-3658-1065
- first_name: Luka
full_name: Zeleznik, Luka
id: 3ADCA2E4-F248-11E8-B48F-1D18A9856A87
last_name: Zeleznik
citation:
ama: 'Garcia Soto M, Henzinger TA, Schilling C, Zeleznik L. Membership-based synthesis
of linear hybrid automata. In: 31st International Conference on Computer-Aided
Verification. Vol 11561. Springer; 2019:297-314. doi:10.1007/978-3-030-25540-4_16'
apa: 'Garcia Soto, M., Henzinger, T. A., Schilling, C., & Zeleznik, L. (2019).
Membership-based synthesis of linear hybrid automata. In 31st International
Conference on Computer-Aided Verification (Vol. 11561, pp. 297–314). New York
City, NY, USA: Springer. https://doi.org/10.1007/978-3-030-25540-4_16'
chicago: Garcia Soto, Miriam, Thomas A Henzinger, Christian Schilling, and Luka
Zeleznik. “Membership-Based Synthesis of Linear Hybrid Automata.” In 31st International
Conference on Computer-Aided Verification, 11561:297–314. Springer, 2019.
https://doi.org/10.1007/978-3-030-25540-4_16.
ieee: M. Garcia Soto, T. A. Henzinger, C. Schilling, and L. Zeleznik, “Membership-based
synthesis of linear hybrid automata,” in 31st International Conference on Computer-Aided
Verification, New York City, NY, USA, 2019, vol. 11561, pp. 297–314.
ista: 'Garcia Soto M, Henzinger TA, Schilling C, Zeleznik L. 2019. Membership-based
synthesis of linear hybrid automata. 31st International Conference on Computer-Aided
Verification. CAV: Computer-Aided Verification, LNCS, vol. 11561, 297–314.'
mla: Garcia Soto, Miriam, et al. “Membership-Based Synthesis of Linear Hybrid Automata.”
31st International Conference on Computer-Aided Verification, vol. 11561,
Springer, 2019, pp. 297–314, doi:10.1007/978-3-030-25540-4_16.
short: M. Garcia Soto, T.A. Henzinger, C. Schilling, L. Zeleznik, in:, 31st International
Conference on Computer-Aided Verification, Springer, 2019, pp. 297–314.
conference:
end_date: 2019-07-18
location: New York City, NY, USA
name: 'CAV: Computer-Aided Verification'
start_date: 2019-07-15
date_created: 2019-05-27T07:09:53Z
date_published: 2019-07-12T00:00:00Z
date_updated: 2023-08-25T10:40:41Z
day: '12'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-030-25540-4_16
ec_funded: 1
external_id:
isi:
- '000491468000016'
file:
- access_level: open_access
checksum: 1f1d61b83a151031745ef70a501da3d6
content_type: application/pdf
creator: dernst
date_created: 2019-08-14T11:05:30Z
date_updated: 2020-07-14T12:47:32Z
file_id: '6817'
file_name: 2019_CAV_GarciaSoto.pdf
file_size: 674795
relation: main_file
file_date_updated: 2020-07-14T12:47:32Z
has_accepted_license: '1'
intvolume: ' 11561'
isi: 1
keyword:
- Synthesis
- Linear hybrid automaton
- Membership
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 297-314
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: 31st International Conference on Computer-Aided Verification
publication_identifier:
isbn:
- '9783030255398'
issn:
- 0302-9743
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Membership-based synthesis of linear hybrid automata
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 11561
year: '2019'
...