[{"tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)"},"department":[{"_id":"ToHe"}],"title":"Synthesis of hybrid automata with affine dynamics from time-series data","date_updated":"2025-07-10T12:01:40Z","isi":1,"publication_identifier":{"isbn":["9781450383394"]},"ec_funded":1,"_id":"9200","arxiv":1,"publication_status":"published","publisher":"Association for Computing Machinery","type":"conference","oa_version":"Published Version","keyword":["hybrid automaton","membership","system identification"],"month":"05","project":[{"grant_number":"Z211","call_identifier":"FWF","name":"Formal methods for the design and analysis of complex systems","_id":"25F42A32-B435-11E9-9278-68D0E5697425"},{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"ddc":["000"],"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."}],"file_date_updated":"2021-05-25T13:53:22Z","oa":1,"article_processing_charge":"No","conference":{"start_date":"2021-05-19","end_date":"2021-05-21","name":"HSCC: Hybrid Systems - Computation and Control","location":"Nashville, TN, United States"},"has_accepted_license":"1","scopus_import":"1","citation":{"ama":"Garcia Soto M, Henzinger TA, Schilling C. Synthesis of hybrid automata with affine dynamics from time-series data. In: <i>HSCC ’21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control</i>. Association for Computing Machinery; 2021:2102.12734. doi:<a href=\"https://doi.org/10.1145/3447928.3456704\">10.1145/3447928.3456704</a>","ieee":"M. Garcia Soto, T. A. Henzinger, and C. Schilling, “Synthesis of hybrid automata with affine dynamics from time-series data,” in <i>HSCC ’21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control</i>, Nashville, TN, United States, 2021, p. 2102.12734.","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.","mla":"Garcia Soto, Miriam, et al. “Synthesis of Hybrid Automata with Affine Dynamics from Time-Series Data.” <i>HSCC ’21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control</i>, Association for Computing Machinery, 2021, p. 2102.12734, doi:<a href=\"https://doi.org/10.1145/3447928.3456704\">10.1145/3447928.3456704</a>.","chicago":"Garcia Soto, Miriam, Thomas A Henzinger, and Christian Schilling. “Synthesis of Hybrid Automata with Affine Dynamics from Time-Series Data.” In <i>HSCC ’21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control</i>, 2102.12734. Association for Computing Machinery, 2021. <a href=\"https://doi.org/10.1145/3447928.3456704\">https://doi.org/10.1145/3447928.3456704</a>.","apa":"Garcia Soto, M., Henzinger, T. A., &#38; Schilling, C. (2021). Synthesis of hybrid automata with affine dynamics from time-series data. In <i>HSCC ’21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control</i> (p. 2102.12734). Nashville, TN, United States: Association for Computing Machinery. <a href=\"https://doi.org/10.1145/3447928.3456704\">https://doi.org/10.1145/3447928.3456704</a>","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: Hybrid Systems - Computation and Control, 2102.12734."},"quality_controlled":"1","date_created":"2021-02-26T16:30:39Z","corr_author":"1","day":"01","doi":"10.1145/3447928.3456704","publication":"HSCC '21: Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control","page":"2102.12734","language":[{"iso":"eng"}],"year":"2021","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.","status":"public","date_published":"2021-05-01T00:00:00Z","file":[{"success":1,"file_name":"2021_HSCC_Soto.pdf","file_size":1474786,"checksum":"4c1202c1abf71384c3ee6fea88c2f80e","date_created":"2021-05-25T13:53:22Z","content_type":"application/pdf","access_level":"open_access","date_updated":"2021-05-25T13:53:22Z","file_id":"9424","creator":"kschuh","relation":"main_file"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"id":"4B3207F6-F248-11E8-B48F-1D18A9856A87","last_name":"Garcia Soto","full_name":"Garcia Soto, Miriam","orcid":"0000-0003-2936-5719","first_name":"Miriam"},{"id":"40876CD8-F248-11E8-B48F-1D18A9856A87","last_name":"Henzinger","orcid":"0000-0002-2985-7724","full_name":"Henzinger, Thomas A","first_name":"Thomas A"},{"first_name":"Christian","id":"3A2F4DCE-F248-11E8-B48F-1D18A9856A87","last_name":"Schilling","orcid":"0000-0003-3658-1065","full_name":"Schilling, Christian"}],"external_id":{"arxiv":["2102.12734"],"isi":["000932821700028"]}}]