The chattering limit of singularly perturbed optimal control problems

The paper examines the structure of the variational limits that may arise in connection with singularly perturbed optimal control problems. Once the notion of a variational limit is displayed, we analyze the roles of the fast and slow components of the singularly perturbed system in the generation of the variational limits. Comparing a general form of variational limits for singularly perturbed systems to the method of order reduction, which is largely used-yet a special case-is a goal of the paper