@article{Enkhbat_2023, title={Optimal Control Sphere Packing Problem}, volume={26}, url={https://mongoliajol.info/index.php/MMJ/article/view/3001}, DOI={10.5564/mmj.v26i24.3001}, abstractNote={<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 Malfatti’s problem [17] from a view point of optimal control theory.</p>}, number={24}, journal={Mongolian Mathematical Journal}, author={Enkhbat, Rentsen}, year={2023}, month={Aug.}, pages={17–23} }