Title: Solution of classical optimal control problems with a boundary layer
Authors: S. V. Belokopytov, M. G. Dmitriev
Journal title: Automation and Remote Control
S. V. Belokopytov, M. G. Dmitriev, “Solution of classical optimal control problems with a boundary layer”, Automation and Remote Control, 1989, 50:7, 907–917
A natural way is developed of applying the boundary layer functions method to optimal control problems with fast and slow motions. In this approach the problem is directly decomposed into a sequence of lower-order variational problems. The relaxation and suboptimality of asymptotic approximations are proved.
MathNet (ENG): http://mi.mathnet.ru/eng/at6327