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math.OC2020
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…
math.OC2019
A two-player game representation for a class of infinite horizon control problems under state constraints
Vincenzo Basco, Peter M. Dower
In this paper we give feedback laws for a class of parametrized infinite horizon control problems under state constraints. We provide a two-player representation assuming time depe…
math.OC2019
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…