On Homogenization of Optimization Problems for Operator Equations of the Gammerstain Type. Part 1. The Regular Case

Peter I. Kogut, Victor N. Mizernyi · Journal of Automation and Information Sciences · 2001

The problem of homogenization of a problem of optimal control for the operator equation of the Gammerstain type is under investigation. Under the assumption that all components of mathematical description of the given problem depend on a certain small parameter e we investigate its behavior for e ® 0. The results of identification of the limit (homogenized) problem of optimal control are also given.

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