--- _id: '8750' abstract: - lang: eng text: "Efficiently handling time-triggered and possibly nondeterministic switches\r\nfor hybrid systems reachability is a challenging task. In this paper we present\r\nan approach based on conservative set-based enclosure of the dynamics that can\r\nhandle systems with uncertain parameters and inputs, where the uncertainties\r\nare bound to given intervals. The method is evaluated on the plant model of an\r\nexperimental electro-mechanical braking system with periodic controller. In\r\nthis model, the fast-switching controller dynamics requires simulation time\r\nscales of the order of nanoseconds. Accurate set-based computations for\r\nrelatively large time horizons are known to be expensive. However, by\r\nappropriately decoupling the time variable with respect to the spatial\r\nvariables, and enclosing the uncertain parameters using interval matrix maps\r\nacting on zonotopes, we show that the computation time can be lowered to 5000\r\ntimes faster with respect to previous works. This is a step forward in formal\r\nverification of hybrid systems because reduced run-times allow engineers to\r\nintroduce more expressiveness in their models with a relatively inexpensive\r\ncomputational cost." article_number: '9314994' article_processing_charge: No author: - first_name: Marcelo full_name: Forets, Marcelo last_name: Forets - first_name: Daniel full_name: Freire, Daniel last_name: Freire - first_name: Christian full_name: Schilling, Christian id: 3A2F4DCE-F248-11E8-B48F-1D18A9856A87 last_name: Schilling orcid: 0000-0003-3658-1065 citation: ama: 'Forets M, Freire D, Schilling C. Efficient reachability analysis of parametric linear hybrid systems with  time-triggered transitions. In: 18th ACM-IEEE International Conference on Formal Methods and Models for System Design. IEEE; 2020. doi:10.1109/MEMOCODE51338.2020.9314994' apa: 'Forets, M., Freire, D., & Schilling, C. (2020). Efficient reachability analysis of parametric linear hybrid systems with  time-triggered transitions. In 18th ACM-IEEE International Conference on Formal Methods and Models for System Design. Virtual Conference: IEEE. https://doi.org/10.1109/MEMOCODE51338.2020.9314994' chicago: Forets, Marcelo, Daniel Freire, and Christian Schilling. “Efficient Reachability Analysis of Parametric Linear Hybrid Systems with  Time-Triggered Transitions.” In 18th ACM-IEEE International Conference on Formal Methods and Models for System Design. IEEE, 2020. https://doi.org/10.1109/MEMOCODE51338.2020.9314994. ieee: M. Forets, D. Freire, and C. Schilling, “Efficient reachability analysis of parametric linear hybrid systems with  time-triggered transitions,” in 18th ACM-IEEE International Conference on Formal Methods and Models for System Design, Virtual Conference, 2020. ista: 'Forets M, Freire D, Schilling C. 2020. Efficient reachability analysis of parametric linear hybrid systems with  time-triggered transitions. 18th ACM-IEEE International Conference on Formal Methods and Models for System Design. MEMOCODE: Conference on Formal Methods and Models for System Design, 9314994.' mla: Forets, Marcelo, et al. “Efficient Reachability Analysis of Parametric Linear Hybrid Systems with  Time-Triggered Transitions.” 18th ACM-IEEE International Conference on Formal Methods and Models for System Design, 9314994, IEEE, 2020, doi:10.1109/MEMOCODE51338.2020.9314994. short: M. Forets, D. Freire, C. Schilling, in:, 18th ACM-IEEE International Conference on Formal Methods and Models for System Design, IEEE, 2020. conference: end_date: 2020-12-04 location: Virtual Conference name: 'MEMOCODE: Conference on Formal Methods and Models for System Design' start_date: 2020-12-02 date_created: 2020-11-10T07:04:57Z date_published: 2020-12-04T00:00:00Z date_updated: 2023-08-22T12:48:18Z day: '04' department: - _id: ToHe doi: 10.1109/MEMOCODE51338.2020.9314994 ec_funded: 1 external_id: arxiv: - '2006.12325' isi: - '000661920400013' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2006.12325 month: '12' oa: 1 oa_version: Preprint 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: 18th ACM-IEEE International Conference on Formal Methods and Models for System Design publication_identifier: isbn: - '9781728191485' publication_status: published publisher: IEEE quality_controlled: '1' scopus_import: '1' status: public title: Efficient reachability analysis of parametric linear hybrid systems with time-triggered transitions type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2020' ...