58 citations · 107 across the 9 of their papers we have counts for
10 papers
An Update to the Level Set Theorems in Hamilton-Jacobi Reachability Analysis
Dylan Hirsch, William McEneaney, Jaime Fisac +2
Hamilton-Jacobi Reachability (HJR) is an important framework for controlling safety-critical systems despite uncertainty. Its theoretical underpinnings are rooted in Hamilton-Jacob…
Exploiting characteristics in stationary action problems
V. Basco, P. M. Dower, W. M. McEneaney +1
Connections between the principle of stationary action and optimal control, and between established notions of minimax and viscosity solutions, are combined to describe trajectorie…
Verifying fundamental solution groups for lossless wave equations via stationary action and optimal control
Peter M. Dower, William M. McEneaney
A representation of a fundamental solution group for a class of wave equations is constructed by exploiting connections between stationary action and optimal control. By using a Yo…
Game representations for state constrained continuous time linear regulator problems
Peter M. Dower, William M. McEneaney, Michael Cantoni
A supremum-of-quadratics representation for convex barrier-type constraints is developed and applied within the context of a class of continuous time state constrained linear regul…
Solving two-point boundary value problems for a wave equation via the principle of stationary action and optimal control
Peter M. Dower, William M. McEneaney
A new approach to solving two-point boundary value problems for a wave equation is developed. This new approach exploits the principle of stationary action to reformulate and solve…
A max-plus dual space fundamental solution for a class of operator differential Riccati equations
Peter M. Dower, William M. McEneaney
A new fundamental solution semigroup for operator differential Riccati equations is developed. This fundamental solution semigroup is constructed via an auxiliary finite horizon op…