JuliaReach: A toolbox for set-based reachability
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.
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Author
Bogomolov, SergiyISTA 
;
Forets, Marcelo;
Frehse, Goran;
Potomkin, Kostiantyn;
Schilling, ChristianISTA
;
Forets, Marcelo;
Frehse, Goran;
Potomkin, Kostiantyn;
Schilling, ChristianISTA Department
Grant
Abstract
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.
Keywords
Publishing Year
Date Published
2019-04-16
Proceedings Title
Proceedings of the 22nd International Conference on Hybrid Systems: Computation and Control
Publisher
ACM
Volume
22
Page
39-44
Conference
HSCC: Hybrid Systems Computation and Control
Conference Location
Montreal, QC, Canada
Conference Date
2019-04-16 – 2019-04-18
ISBN
IST-REx-ID
Cite this
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
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
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.
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.
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.
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.
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