---
_id: '7231'
abstract:
- lang: eng
text: Piecewise Barrier Tubes (PBT) is a new technique for flowpipe overapproximation
for nonlinear systems with polynomial dynamics, which leverages a combination
of barrier certificates. PBT has advantages over traditional time-step based methods
in dealing with those nonlinear dynamical systems in which there is a large difference
in speed between trajectories, producing an overapproximation that is time independent.
However, the existing approach for PBT is not efficient due to the application
of interval methods for enclosure-box computation, and it can only deal with continuous
dynamical systems without uncertainty. In this paper, we extend the approach with
the ability to handle both continuous and hybrid dynamical systems with uncertainty
that can reside in parameters and/or noise. We also improve the efficiency of
the method significantly, by avoiding the use of interval-based methods for the
enclosure-box computation without loosing soundness. We have developed a C++ prototype
implementing the proposed approach and we evaluate it on several benchmarks. The
experiments show that our approach is more efficient and precise than other methods
in the literature.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Hui
full_name: Kong, Hui
id: 3BDE25AA-F248-11E8-B48F-1D18A9856A87
last_name: Kong
orcid: 0000-0002-3066-6941
- first_name: Ezio
full_name: Bartocci, Ezio
last_name: Bartocci
- first_name: Yu
full_name: Jiang, Yu
last_name: Jiang
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
citation:
ama: 'Kong H, Bartocci E, Jiang Y, Henzinger TA. Piecewise robust barrier tubes
for nonlinear hybrid systems with uncertainty. In: 17th International Conference
on Formal Modeling and Analysis of Timed Systems. Vol 11750. Springer Nature;
2019:123-141. doi:10.1007/978-3-030-29662-9_8'
apa: 'Kong, H., Bartocci, E., Jiang, Y., & Henzinger, T. A. (2019). Piecewise
robust barrier tubes for nonlinear hybrid systems with uncertainty. In 17th
International Conference on Formal Modeling and Analysis of Timed Systems
(Vol. 11750, pp. 123–141). Amsterdam, The Netherlands: Springer Nature. https://doi.org/10.1007/978-3-030-29662-9_8'
chicago: Kong, Hui, Ezio Bartocci, Yu Jiang, and Thomas A Henzinger. “Piecewise
Robust Barrier Tubes for Nonlinear Hybrid Systems with Uncertainty.” In 17th
International Conference on Formal Modeling and Analysis of Timed Systems,
11750:123–41. Springer Nature, 2019. https://doi.org/10.1007/978-3-030-29662-9_8.
ieee: H. Kong, E. Bartocci, Y. Jiang, and T. A. Henzinger, “Piecewise robust barrier
tubes for nonlinear hybrid systems with uncertainty,” in 17th International
Conference on Formal Modeling and Analysis of Timed Systems, Amsterdam, The
Netherlands, 2019, vol. 11750, pp. 123–141.
ista: 'Kong H, Bartocci E, Jiang Y, Henzinger TA. 2019. Piecewise robust barrier
tubes for nonlinear hybrid systems with uncertainty. 17th International Conference
on Formal Modeling and Analysis of Timed Systems. FORMATS: Formal Modeling and
Analysis of Timed Systems, LNCS, vol. 11750, 123–141.'
mla: Kong, Hui, et al. “Piecewise Robust Barrier Tubes for Nonlinear Hybrid Systems
with Uncertainty.” 17th International Conference on Formal Modeling and Analysis
of Timed Systems, vol. 11750, Springer Nature, 2019, pp. 123–41, doi:10.1007/978-3-030-29662-9_8.
short: H. Kong, E. Bartocci, Y. Jiang, T.A. Henzinger, in:, 17th International Conference
on Formal Modeling and Analysis of Timed Systems, Springer Nature, 2019, pp. 123–141.
conference:
end_date: 2019-08-29
location: Amsterdam, The Netherlands
name: 'FORMATS: Formal Modeling and Analysis of Timed Systems'
start_date: 2019-08-27
date_created: 2020-01-05T23:00:47Z
date_published: 2019-08-13T00:00:00Z
date_updated: 2023-09-06T14:55:15Z
day: '13'
department:
- _id: ToHe
doi: 10.1007/978-3-030-29662-9_8
external_id:
arxiv:
- '1907.11514'
isi:
- '000611677700008'
intvolume: ' 11750'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1907.11514
month: '08'
oa: 1
oa_version: Preprint
page: 123-141
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: 17th International Conference on Formal Modeling and Analysis of Timed
Systems
publication_identifier:
eissn:
- 1611-3349
isbn:
- 978-3-0302-9661-2
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Piecewise robust barrier tubes for nonlinear hybrid systems with uncertainty
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 11750
year: '2019'
...