Case Studies in Data-Driven Verification of Dynamical Systems

We interpret several dynamical system verification questions, e.g., region of attraction and reachability analyses, as data classification problems. We discuss some of the tradeoffs between conventional optimization-based certificate constructions with certainty in the outcomes and this new date-dri...

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Main Authors: Kozarev, Alexandar, Topcu, Ufuk, How, Jonathan P, Quindlen, John Francis
Other Authors: Massachusetts Institute of Technology. Aerospace Controls Laboratory
Format: Article
Language:en_US
Published: Association for Computing Machinery (ACM) 2016
Online Access:http://hdl.handle.net/1721.1/105224
https://orcid.org/0000-0001-8576-1930
https://orcid.org/0000-0002-0464-4108
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author Kozarev, Alexandar
Topcu, Ufuk
How, Jonathan P
Quindlen, John Francis
author2 Massachusetts Institute of Technology. Aerospace Controls Laboratory
author_facet Massachusetts Institute of Technology. Aerospace Controls Laboratory
Kozarev, Alexandar
Topcu, Ufuk
How, Jonathan P
Quindlen, John Francis
author_sort Kozarev, Alexandar
collection MIT
description We interpret several dynamical system verification questions, e.g., region of attraction and reachability analyses, as data classification problems. We discuss some of the tradeoffs between conventional optimization-based certificate constructions with certainty in the outcomes and this new date-driven approach with quantified confidence in the outcomes. The new methodology is aligned with emerging computing paradigms and has the potential to extend systematic verification to systems that do not necessarily admit closed-form models from certain specialized families. We demonstrate its effectiveness on a collection of both conventional and unconventional case studies including model reference adaptive control systems, nonlinear aircraft models, and reinforcement learning problems.
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spelling mit-1721.1/1052242022-09-23T12:28:55Z Case Studies in Data-Driven Verification of Dynamical Systems Kozarev, Alexandar Topcu, Ufuk How, Jonathan P Quindlen, John Francis Massachusetts Institute of Technology. Aerospace Controls Laboratory Massachusetts Institute of Technology. Department of Aeronautics and Astronautics How, Jonathan P Quindlen, John Francis We interpret several dynamical system verification questions, e.g., region of attraction and reachability analyses, as data classification problems. We discuss some of the tradeoffs between conventional optimization-based certificate constructions with certainty in the outcomes and this new date-driven approach with quantified confidence in the outcomes. The new methodology is aligned with emerging computing paradigms and has the potential to extend systematic verification to systems that do not necessarily admit closed-form models from certain specialized families. We demonstrate its effectiveness on a collection of both conventional and unconventional case studies including model reference adaptive control systems, nonlinear aircraft models, and reinforcement learning problems. United States. Air Force Research Laboratory (FA8650-15-C-2546) United States. Office of Naval Research (N000141310778) United States. Army Research Office (W911NF- 15-1-0592) National Science Foundation (U.S.) (1550212) United States. Defense Advanced Research Projects Agency (W911NF-16-1-0001) 2016-11-04T21:48:02Z 2016-11-04T21:48:02Z 2016-04 Article http://purl.org/eprint/type/ConferencePaper 9781450339551 http://hdl.handle.net/1721.1/105224 Kozarev, Alexandar et al. “Case Studies in Data-Driven Verification of Dynamical Systems.” ACM Press, 2016. 81–86. https://orcid.org/0000-0001-8576-1930 https://orcid.org/0000-0002-0464-4108 en_US http://dx.doi.org/10.1145/2883817.2883846 Proceedings of the 19th International Conference on Hybrid Systems: Computation and Control - HSCC '16 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Association for Computing Machinery (ACM) MIT web domain
spellingShingle Kozarev, Alexandar
Topcu, Ufuk
How, Jonathan P
Quindlen, John Francis
Case Studies in Data-Driven Verification of Dynamical Systems
title Case Studies in Data-Driven Verification of Dynamical Systems
title_full Case Studies in Data-Driven Verification of Dynamical Systems
title_fullStr Case Studies in Data-Driven Verification of Dynamical Systems
title_full_unstemmed Case Studies in Data-Driven Verification of Dynamical Systems
title_short Case Studies in Data-Driven Verification of Dynamical Systems
title_sort case studies in data driven verification of dynamical systems
url http://hdl.handle.net/1721.1/105224
https://orcid.org/0000-0001-8576-1930
https://orcid.org/0000-0002-0464-4108
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