Exploiting characteristics in stationary action problems

2020/02/19 by Basco, V., Dower, P. M., McEneaney, W. M. +1
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2002.08058

Abstract

Connections between the principle of stationary action and optimal control, and between established notions of minimax and viscosity solutions, are combined to describe trajectories of energy conserving systems as solutions of corresponding Cauchy problems defined with respect to attendant systems of characteristics equations.

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