92 citations · 106 across the 19 of their papers we have counts for
26 papers
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…
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…
A Note on Carlier Inequality
Regina S. Burachik, J. E. Martínez-Legaz
Recently, Carlier established in [3] a quantitave version of the Fitzpatrick inequality in a Hilbert space. We extend this result by Carlier to the framework of reflexive Banach sp…
Infeasible and Critically Feasible Optimal Control
Regina S. Burachik, C. Yalçın Kaya, Walaa M. Moursi
We consider optimal control problems involving two constraint sets: one comprised of linear ordinary differential equations with the initial and terminal states specified and the o…
Douglas-Rachford Algorithm for Control- and State-constrained Optimal Control Problems
Regina S. Burachik, Bethany I. Caldwell, C. Yalçın Kaya
We consider the application of the Douglas-Rachford (DR) algorithm to solve linear-quadratic (LQ) control problems with box constraints on the state and control variables. We split…
A primal--dual algorithm as applied to optimal control problems
Regina S. Burachik, C. Yalçın Kaya, Xuemei Liu
We propose a primal--dual technique that applies to infinite dimensional equality constrained problems, in particular those arising from optimal control. As an application of our g…