58 citations · 107 across the 9 of their papers we have counts for
9 papers · 1 filter
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…
Deterministic filtering and dimensionality reduction for optimal attitude estimation on SO(3)
Srinivas Sridharan, William M. McEneaney
In this article we introduce the use of recently developed min/max-plus techniques in order to solve the optimal attitude estimation problem in filtering for nonlinear systems on t…