4 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…
Curves of Minimax Spirality
C. Yalçın Kaya, Lyle Noakes, Philip Schrader
We study the problem of finding curves of minimum pointwise-maximum arc-length derivative of curvature, here simply called curves of minimax spirality, among planar curves of fixed…
Curves of Minimax Curvature
C. Yalçın Kaya, Lyle Noakes, Philip Schrader
We consider the problem of finding curves of minimum pointwise-maximum curvature, i.e., curves of minimax curvature, among planar curves of fixed length with prescribed endpoints a…
Multi-objective variational curves
C. Yalçın Kaya, J. Lyle Noakes, Erchuan Zhang
Riemannian cubics in tension are critical points of the linear combination of two objective functionals, namely the squared norms of the velocity and acceleration of a curve on a R…