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math.OC2026
A Primal--Dual Penalty Algorithm and Optimal Control of the Double Integrator
Regina S. Burachik, C. Yalçın Kaya, Xuemei Liu
We investigate the behaviour of a primal--dual penalty scheme applied to all possible instances, i.e., boundary conditions, of an optimal control problem involving the double integ…
math.OC2026
Best Approximation Optimal Control for Infeasible Double Integrator and Douglas--Rachford Algorithm
Regina S. Burachik, Bethany I. Caldwell, C. Yalçın Kaya +1
We consider the problem of finding (in some sense) the best approximation control for an infeasible double integrator. The control function is constrained by upper and lower bounds…