42 citations · 60 across the 13 of their papers we have counts for
4 papers · 1 filter
Voronoi Partition-based Scenario Reduction for Fast Sampling-based Stochastic Reachability Computation of LTI Systems
Hossein Sartipizadeh, Abraham P. Vinod, Behcet Acikmese +1
In this paper, we address the stochastic reach-avoid problem for linear systems with additive stochastic uncertainty. We seek to compute the maximum probability that the states rem…
Lagrangian Approximations for Stochastic Reachability of a Target Tube
Joseph D. Gleason, Abraham P. Vinod, Meeko M. K. Oishi
In this paper we examine how Lagrangian techniques can be used to compute underapproximations and overapproximation of the finite-time horizon, stochastic reach-avoid level sets fo…
Stochastic reachability of a target tube: Theory and computation
Abraham P. Vinod, Meeko M. K. Oishi
Probabilistic guarantees of safety and performance are important in constrained dynamical systems with stochastic uncertainty. We consider the stochastic reachability problem, whic…
Probabilistic Occupancy Function and Sets Using Forward Stochastic Reachability for Rigid-Body Dynamic Obstacles
Abraham P. Vinod, Meeko M. K. Oishi
We present theory and algorithms for the computation of probability-weighted "keep-out" sets to assure probabilistically safe navigation in the presence of multiple rigid body obst…