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20172023
most citedRelaxing The Hamilton Jacobi Bellman Equation To Construct Inner And Outer Bounds On Reachable Sets

11 citations · 17 across the 14 of their papers we have counts for

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math.OC2019★ 11 cited

Relaxing The Hamilton Jacobi Bellman Equation To Construct Inner And Outer Bounds On Reachable Sets

Morgan Jones, Matthew M. Peet

We consider the problem of overbounding and underbounding both the backward and forward reachable set for a given polynomial vector field, nonlinear in both state and input, with a…

math.DS2019

Using SOS and Sublevel Set Volume Minimization for Estimation of Forward Reachable Sets

Morgan Jones, Matthew M. Peet

In this paper we propose a convex Sum-of-Squares optimization problem for finding outer approximations of forward reachable sets for nonlinear uncertain Ordinary Differential Equat…