[{"conference":{"location":"Houston, TX, USA ","end_date":"2020-12-04","start_date":"2020-12-01","name":"RTTS: Real-Time Systems Symposium"},"language":[{"iso":"eng"}],"month":"12","oa_version":"Submitted Version","project":[{"grant_number":"Z211","name":"The Wittgenstein Prize","_id":"25F42A32-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"}],"publication":"2020 IEEE Real-Time Systems Symposium","has_accepted_license":"1","status":"public","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","file":[{"access_level":"open_access","relation":"main_file","creator":"mgarcias","file_id":"9203","file_size":1125794,"checksum":"8f97f229316c3b3a6f0cf99297aa0941","date_created":"2021-02-26T16:38:14Z","file_name":"main.pdf","content_type":"application/pdf","date_updated":"2021-02-26T16:38:14Z"}],"oa":1,"publication_identifier":{"eissn":["2576-3172"],"eisbn":["9781728183244"]},"date_published":"2020-12-01T00:00:00Z","type":"conference","publisher":"IEEE","file_date_updated":"2021-02-26T16:38:14Z","page":"244-256","quality_controlled":"1","title":"Hybridization for stability verification of nonlinear switched systems","publication_status":"published","date_created":"2021-02-26T16:38:24Z","article_processing_charge":"No","department":[{"_id":"ToHe"}],"author":[{"id":"4B3207F6-F248-11E8-B48F-1D18A9856A87","first_name":"Miriam","last_name":"Garcia Soto","orcid":"0000-0003-2936-5719","full_name":"Garcia Soto, Miriam"},{"first_name":"Pavithra","last_name":"Prabhakar","full_name":"Prabhakar, Pavithra"}],"_id":"9202","ddc":["000"],"acknowledgement":"Miriam Garc´ıa Soto was partially supported by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award). Pavithra Prabhakar was partially supported by NSF CAREER Award No. 1552668, NSF Award No. 2008957 and ONR YIP Award No. N000141712577.","abstract":[{"lang":"eng","text":"We propose a novel hybridization method for stability analysis that over-approximates nonlinear dynamical systems by switched systems with linear inclusion dynamics. We observe that existing hybridization techniques for safety analysis that over-approximate nonlinear dynamical systems by switched affine inclusion dynamics and provide fixed approximation error, do not suffice for stability analysis. Hence, we propose a hybridization method that provides a state-dependent error which converges to zero as the state tends to the equilibrium point. The crux of our hybridization computation is an elegant recursive algorithm that uses partial derivatives of a given function to obtain upper and lower bound matrices for the over-approximating linear inclusion. We illustrate our method on some examples to demonstrate the application of the theory for stability analysis. In particular, our method is able to establish stability of a nonlinear system which does not admit a polynomial Lyapunov function."}],"doi":"10.1109/RTSS49844.2020.00031","day":"01","isi":1,"external_id":{"isi":["000680435100021"]},"date_updated":"2024-02-22T13:25:19Z","year":"2020","citation":{"chicago":"Garcia Soto, Miriam, and Pavithra Prabhakar. “Hybridization for Stability Verification of Nonlinear Switched Systems.” In <i>2020 IEEE Real-Time Systems Symposium</i>, 244–56. IEEE, 2020. <a href=\"https://doi.org/10.1109/RTSS49844.2020.00031\">https://doi.org/10.1109/RTSS49844.2020.00031</a>.","ieee":"M. Garcia Soto and P. Prabhakar, “Hybridization for stability verification of nonlinear switched systems,” in <i>2020 IEEE Real-Time Systems Symposium</i>, Houston, TX, USA , 2020, pp. 244–256.","apa":"Garcia Soto, M., &#38; Prabhakar, P. (2020). Hybridization for stability verification of nonlinear switched systems. In <i>2020 IEEE Real-Time Systems Symposium</i> (pp. 244–256). Houston, TX, USA : IEEE. <a href=\"https://doi.org/10.1109/RTSS49844.2020.00031\">https://doi.org/10.1109/RTSS49844.2020.00031</a>","ama":"Garcia Soto M, Prabhakar P. Hybridization for stability verification of nonlinear switched systems. In: <i>2020 IEEE Real-Time Systems Symposium</i>. IEEE; 2020:244-256. doi:<a href=\"https://doi.org/10.1109/RTSS49844.2020.00031\">10.1109/RTSS49844.2020.00031</a>","ista":"Garcia Soto M, Prabhakar P. 2020. Hybridization for stability verification of nonlinear switched systems. 2020 IEEE Real-Time Systems Symposium. RTTS: Real-Time Systems Symposium, 244–256.","short":"M. Garcia Soto, P. Prabhakar, in:, 2020 IEEE Real-Time Systems Symposium, IEEE, 2020, pp. 244–256.","mla":"Garcia Soto, Miriam, and Pavithra Prabhakar. “Hybridization for Stability Verification of Nonlinear Switched Systems.” <i>2020 IEEE Real-Time Systems Symposium</i>, IEEE, 2020, pp. 244–56, doi:<a href=\"https://doi.org/10.1109/RTSS49844.2020.00031\">10.1109/RTSS49844.2020.00031</a>."}}]