A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf
.
Filters
Lagrangian Reachabililty
[chapter]
2017
Lecture Notes in Computer Science
We introduce LRT, a new Lagrangian-based ReachTube computation algorithm that conservatively approximates the set of reachable states of a nonlinear dynamical system. ...
The Lagrangian coordinates depend on the initial (Eulerian) position, and the time t, so we use x(X, t) to denote the position of a particle in Lagrangian coordinates. ...
FTLE are widely computed in e.g. climate research in order to detect Lagrangian coherent structures. We call this approach and its associated the LRT, for Lagrangian Reachtube computation. ...
doi:10.1007/978-3-319-63387-9_19
fatcat:ahezwhyfpjevfdunhgtnjzdrny
Lagrangian Reachabililty
[article]
2017
arXiv
pre-print
We introduce LRT, a new Lagrangian-based ReachTube computation algorithm that conservatively approximates the set of reachable states of a nonlinear dynamical system. ...
The Lagrangian coordinates depend on the initial (Eulerian) position, and the time t, so we use x(X, t) to denote the position of a particle in Lagrangian coordinates. ...
FTLE are widely computed in e.g. climate research in order to detect Lagrangian coherent structures. We call this approach and its associated the LRT, for Lagrangian Reachtube computation. ...
arXiv:1705.05927v4
fatcat:5cavfij6hzaz3ahmh6kc44icm4
Network Design for Controllability Metrics
[article]
2020
arXiv
pre-print
In (a,·), we consider the design for worst-case reachabililty problem, while in (b,·) we present results for the design for average reachability problem. ...
For the case of design for worst-case reachabililty, we define the ratio of improvement ρ λ =λ 1 /λ 1 and fix target valuesρ low λ = 10.00 andρ high λ = 50.00. ...
arXiv:1902.04195v4
fatcat:4h4stayly5e73ozl2c7zx4lboy