Talks and Poster Presentations (with Proceedings-Entry):
J. Cyranka, A. Islam, G. Byrne, P. Jones, S. Smolka, R. Grosu:
Talk: CAV 2017: the 29th International Conference on Computer-Aided Verification,
- 2017-07-28; in: "Proc. of CAV 2017: the 29th International Conference on Computer-Aided Verification",
We introduce LRT, a new Lagrangian-based ReachTube computation algorithm that conservatively approximates the set of reachable states of a nonlinear dynamical system. LRT makes use of the Cauchy-Green stretching factor (SF), which is derived from an over-approximation of the gradient of the solution-flows. The SF measures the discrepancy between two states propagated by the system solution from two initial states lying in a well-defined region, thereby allowing LRT to compute a reachtube with a ball-overestimate in a metric where the computed enclosure is as tight as possible. To evaluate its performance, we implemented a prototype of LRT in C++/Matlab, and ran it on a set of well-established benchmarks. Our results show that LRT compares very favorably with respect to the CAPD and Flow* tools.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
Created from the Publication Database of the Vienna University of Technology.