--- _id: '8287' abstract: - lang: eng text: Reachability analysis aims at identifying states reachable by a system within a given time horizon. This task is known to be computationally expensive for linear hybrid systems. Reachability analysis works by iteratively applying continuous and discrete post operators to compute states reachable according to continuous and discrete dynamics, respectively. In this paper, we enhance both of these operators and make sure that most of the involved computations are performed in low-dimensional state space. In particular, we improve the continuous-post operator by performing computations in high-dimensional state space only for time intervals relevant for the subsequent application of the discrete-post operator. Furthermore, the new discrete-post operator performs low-dimensional computations by leveraging the structure of the guard and assignment of a considered transition. We illustrate the potential of our approach on a number of challenging benchmarks. article_processing_charge: No author: - first_name: Sergiy full_name: Bogomolov, Sergiy last_name: Bogomolov - first_name: Marcelo full_name: Forets, Marcelo last_name: Forets - first_name: Goran full_name: Frehse, Goran last_name: Frehse - first_name: Kostiantyn full_name: Potomkin, Kostiantyn last_name: Potomkin - first_name: Christian full_name: Schilling, Christian id: 3A2F4DCE-F248-11E8-B48F-1D18A9856A87 last_name: Schilling orcid: 0000-0003-3658-1065 citation: ama: 'Bogomolov S, Forets M, Frehse G, Potomkin K, Schilling C. Reachability analysis of linear hybrid systems via block decomposition. In: Proceedings of the International Conference on Embedded Software. ; 2020.' apa: Bogomolov, S., Forets, M., Frehse, G., Potomkin, K., & Schilling, C. (2020). Reachability analysis of linear hybrid systems via block decomposition. In Proceedings of the International Conference on Embedded Software. Virtual . chicago: Bogomolov, Sergiy, Marcelo Forets, Goran Frehse, Kostiantyn Potomkin, and Christian Schilling. “Reachability Analysis of Linear Hybrid Systems via Block Decomposition.” In Proceedings of the International Conference on Embedded Software, 2020. ieee: S. Bogomolov, M. Forets, G. Frehse, K. Potomkin, and C. Schilling, “Reachability analysis of linear hybrid systems via block decomposition,” in Proceedings of the International Conference on Embedded Software, Virtual , 2020. ista: 'Bogomolov S, Forets M, Frehse G, Potomkin K, Schilling C. 2020. Reachability analysis of linear hybrid systems via block decomposition. Proceedings of the International Conference on Embedded Software. EMSOFT: International Conference on Embedded Software.' mla: Bogomolov, Sergiy, et al. “Reachability Analysis of Linear Hybrid Systems via Block Decomposition.” Proceedings of the International Conference on Embedded Software, 2020. short: S. Bogomolov, M. Forets, G. Frehse, K. Potomkin, C. Schilling, in:, Proceedings of the International Conference on Embedded Software, 2020. conference: end_date: 2020-09-25 location: 'Virtual ' name: 'EMSOFT: International Conference on Embedded Software' start_date: 2020-09-20 date_created: 2020-08-24T12:56:20Z date_published: 2020-01-01T00:00:00Z date_updated: 2023-08-22T13:27:32Z ddc: - '000' department: - _id: ToHe ec_funded: 1 external_id: arxiv: - '1905.02458' file: - access_level: open_access checksum: d19e97d0f8a3a441dc078ec812297d75 content_type: application/pdf creator: cschilli date_created: 2020-08-24T12:53:15Z date_updated: 2020-08-24T12:53:15Z file_id: '8288' file_name: 2020EMSOFT.pdf file_size: 696384 relation: main_file success: 1 file_date_updated: 2020-08-24T12:53:15Z has_accepted_license: '1' keyword: - reachability - hybrid systems - decomposition language: - iso: eng oa: 1 oa_version: Preprint project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 25C5A090-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z00312 name: The Wittgenstein Prize - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Proceedings of the International Conference on Embedded Software publication_status: published quality_controlled: '1' related_material: record: - id: '8790' relation: later_version status: public status: public title: Reachability analysis of linear hybrid systems via block decomposition 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: 8b945eb4-e2f2-11eb-945a-df72226e66a9 year: '2020' ... --- _id: '6035' abstract: - lang: eng text: 'We present JuliaReach, a toolbox for set-based reachability analysis of dynamical systems. JuliaReach consists of two main packages: Reachability, containing implementations of reachability algorithms for continuous and hybrid systems, and LazySets, a standalone library that implements state-of-the-art algorithms for calculus with convex sets. The library offers both concrete and lazy set representations, where the latter stands for the ability to delay set computations until they are needed. The choice of the programming language Julia and the accompanying documentation of our toolbox allow researchers to easily translate set-based algorithms from mathematics to software in a platform-independent way, while achieving runtime performance that is comparable to statically compiled languages. Combining lazy operations in high dimensions and explicit computations in low dimensions, JuliaReach can be applied to solve complex, large-scale problems.' article_processing_charge: No author: - first_name: Sergiy full_name: Bogomolov, Sergiy id: 369D9A44-F248-11E8-B48F-1D18A9856A87 last_name: Bogomolov orcid: 0000-0002-0686-0365 - first_name: Marcelo full_name: Forets, Marcelo last_name: Forets - first_name: Goran full_name: Frehse, Goran last_name: Frehse - first_name: Kostiantyn full_name: Potomkin, Kostiantyn last_name: Potomkin - first_name: Christian full_name: Schilling, Christian id: 3A2F4DCE-F248-11E8-B48F-1D18A9856A87 last_name: Schilling orcid: 0000-0003-3658-1065 citation: ama: 'Bogomolov S, Forets M, Frehse G, Potomkin K, Schilling C. JuliaReach: A toolbox for set-based reachability. In: Proceedings of the 22nd International Conference on Hybrid Systems: Computation and Control. Vol 22. ACM; 2019:39-44. doi:10.1145/3302504.3311804' apa: 'Bogomolov, S., Forets, M., Frehse, G., Potomkin, K., & Schilling, C. (2019). JuliaReach: A toolbox for set-based reachability. In Proceedings of the 22nd International Conference on Hybrid Systems: Computation and Control (Vol. 22, pp. 39–44). Montreal, QC, Canada: ACM. https://doi.org/10.1145/3302504.3311804' chicago: 'Bogomolov, Sergiy, Marcelo Forets, Goran Frehse, Kostiantyn Potomkin, and Christian Schilling. “JuliaReach: A Toolbox for Set-Based Reachability.” In Proceedings of the 22nd International Conference on Hybrid Systems: Computation and Control, 22:39–44. ACM, 2019. https://doi.org/10.1145/3302504.3311804.' ieee: 'S. Bogomolov, M. Forets, G. Frehse, K. Potomkin, and C. Schilling, “JuliaReach: A toolbox for set-based reachability,” in Proceedings of the 22nd International Conference on Hybrid Systems: Computation and Control, Montreal, QC, Canada, 2019, vol. 22, pp. 39–44.' ista: 'Bogomolov S, Forets M, Frehse G, Potomkin K, Schilling C. 2019. JuliaReach: A toolbox for set-based reachability. Proceedings of the 22nd International Conference on Hybrid Systems: Computation and Control. HSCC: Hybrid Systems Computation and Control vol. 22, 39–44.' mla: 'Bogomolov, Sergiy, et al. “JuliaReach: A Toolbox for Set-Based Reachability.” Proceedings of the 22nd International Conference on Hybrid Systems: Computation and Control, vol. 22, ACM, 2019, pp. 39–44, doi:10.1145/3302504.3311804.' short: 'S. Bogomolov, M. Forets, G. Frehse, K. Potomkin, C. Schilling, in:, Proceedings of the 22nd International Conference on Hybrid Systems: Computation and Control, ACM, 2019, pp. 39–44.' conference: end_date: 2019-04-18 location: Montreal, QC, Canada name: 'HSCC: Hybrid Systems Computation and Control' start_date: 2019-04-16 date_created: 2019-02-18T14:43:28Z date_published: 2019-04-16T00:00:00Z date_updated: 2023-08-24T14:47:21Z day: '16' ddc: - '000' department: - _id: ToHe doi: 10.1145/3302504.3311804 ec_funded: 1 external_id: arxiv: - '1901.10736' isi: - '000516713900005' file: - access_level: open_access checksum: 28ed56439aea5991c3122d4730fd828f content_type: application/pdf creator: cschilli date_created: 2019-03-05T09:27:18Z date_updated: 2020-07-14T12:47:17Z file_id: '6067' file_name: hscc19.pdf file_size: 3784414 relation: main_file file_date_updated: 2020-07-14T12:47:17Z has_accepted_license: '1' intvolume: ' 22' isi: 1 keyword: - reachability analysis - hybrid systems - lazy computation language: - iso: eng month: '04' oa: 1 oa_version: Submitted Version page: 39-44 project: - _id: 25F42A32-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: Z211 name: The Wittgenstein Prize - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: 'Proceedings of the 22nd International Conference on Hybrid Systems: Computation and Control' publication_identifier: isbn: - '9781450362825' publication_status: published publisher: ACM quality_controlled: '1' scopus_import: '1' status: public title: 'JuliaReach: A toolbox for set-based reachability' type: conference user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 22 year: '2019' ...