TY - JOUR
AU - Enkhbat, Rentsen
PY - 2023/08/31
Y2 - 2024/08/09
TI - Optimal Control Sphere Packing Problem
JF - Mongolian Mathematical Journal
JA - Mong. Math. J.
VL - 26
IS - 24
SE - Articles
DO - 10.5564/mmj.v26i24.3001
UR - https://mongoliajol.info/index.php/MMJ/article/view/3001
SP - 17-23
AB - <p>The sphere packing problem which is to pack non-overlapping spheres with the maximum volume into a convex set. The problem belongs to a class of global optimization. Convex maximization formulation of the problem is given in [1, 12]. In this paper, we formulate a new optimal control problem based on the sphere packing problem which is a nonconvex optimal control problem with phase and control constraints. A discrete version of the new optimal control problem for sphere packing problem has been<br>discussed. We examine also Malfattiâ€™s problem [17] from a view point of optimal control theory.</p>
ER -