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arXiv · 1705.05927

Lagrangian Reachabililty

Jacek Cyranka·Md. Ariful Islam·Greg Byrne·Paul Jones·Scott A. Smolka·Radu Grosu
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Abstract

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.

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BibTeXRIS

Jacek Cyranka, Md. Ariful Islam, Greg Byrne, Paul Jones, Scott A. Smolka, Radu Grosu. 2017-05-16. Lagrangian Reachabililty. https://arxiv.org/abs/1705.05927

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