Flow*: an analyzer for non-linear hybrid systems. The tool Flow* performs Taylor model-based flowpipe construction for non-linear (polynomial) hybrid systems. Flow* combines well-known Taylor model arithmetic techniques for guaranteed approximations of the continuous dynamics in each mode with a combination of approaches for handling mode invariants and discrete transitions. Flow* supports a wide variety of optimizations including adaptive step sizes, adaptive selection of approximation orders and the heuristic selection of template directions for aggregating flowpipes. This paper describes Flow* and demonstrates its performance on a series of non-linear continuous and hybrid system benchmarks. Our comparisons show that Flow* is competitive with other tools.

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  1. Bünger, Florian: A Taylor model toolbox for solving ODEs implemented in Matlab/INTLAB (2020)
  2. Malik, Avinash; Roop, Partha: A dynamic quantized state system execution framework for hybrid automata (2020)
  3. Suenaga, Kohei; Ishizawa, Takuya: Generalized property-directed reachability for hybrid systems (2020)
  4. Tsachouridis, Vassilios A.; Giantamidis, Georgios; Basagiannis, Stylianos; Kouramas, Kostas: Formal analysis of the Schulz matrix inversion algorithm: a paradigm towards computer aided verification of general matrix flow solvers (2020)
  5. Bogomolov, Sergiy; Forets, Marcelo; Frehse, Goran; Potomkin, Kostiantyn; Schilling, Christian: JuliaReach: a toolbox for set-based reachability (2019)
  6. Meyer, Pierre-Jean; Devonport, Alex; Arcak, Murat: TIRA: toolbox for interval reachability analysis (2019)
  7. Sánchez, César; Schneider, Gerardo; Ahrendt, Wolfgang; Bartocci, Ezio; Bianculli, Domenico; Colombo, Christian; Falcone, Yliès; Francalanza, Adrian; Krstić, Srđan; Lourenço, João M.; Nickovic, Dejan; Pace, Gordon J.; Rufino, Jose; Signoles, Julien; Traytel, Dmitriy; Weiss, Alexander: A survey of challenges for runtime verification from advanced application domains (beyond software) (2019)
  8. Sogokon, Andrew; Jackson, Paul B.; Johnson, Taylor T.: Verifying safety and persistence in hybrid systems using flowpipes and continuous invariants (2019)
  9. Tran, Hoang-Dung; Nguyen, Luan Viet; Hamilton, Nathaniel; Xiang, Weiming; Johnson, Taylor T.: Reachability analysis for high-index linear differential algebraic equations (2019)
  10. Le Coënt, Adrien; dit Sandretto, Julien Alexandre; Chapoutot, Alexandre; Fribourg, Laurent: An improved algorithm for the control synthesis of nonlinear sampled switched systems (2018)
  11. Bak, Stanley; Bogomolov, Sergiy; Althoff, Matthias: Time-triggered conversion of guards for reachability analysis of hybrid automata (2017)
  12. Dai, Liyun; Gan, Ting; Xia, Bican; Zhan, Naijun: Barrier certificates revisited (2017)
  13. Deshmukh, Jyotirmoy V.; Majumdar, Rupak; Prabhu, Vinayak S.: Quantifying conformance using the Skorokhod metric (2017)
  14. Dreossi, Tommaso: Sapo: reachability computation and parameter synthesis of polynomial dynamical systems (2017)
  15. Dreossi, Tommaso; Dang, Thao; Piazza, Carla: Reachability computation for polynomial dynamical systems (2017)
  16. Goubault, Eric; Putot, Sylvie: Forward inner-approximated reachability of non-linear continuous systems (2017)
  17. Sankaranarayanan, Sriram: Change-of-bases abstractions for non-linear hybrid systems (2016)
  18. Aréchiga, Nikos; Kapinski, James; Deshmukh, Jyotirmoy V.; Platzer, André; Krogh, Bruce: Numerically-aided deductive safety proof for a powertrain control system (2015)
  19. Hagemann, Willem: Efficient geometric operations on convex polyhedra, with an application to reachability analysis of hybrid systems (2015)
  20. Matsumoto, Shota; Kono, Fumihiko; Kobayashi, Teruya; Ueda, Kazunori: HyLaGi: symbolic implementation of a hybrid constraint language HydLa (2015) ioport

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