On asymptotically optimal controls in problems with fast and slow variables(in Ukrainian) 

Author 
boitsova.irina@mail.ru
Odessa I.I.Mechnikov National University

Abstract 
The problem of optimal control for a system of ordinary differential equations with fast and
slow variables and the terminal criterion of quality is studied. It is proved that for any admissible
control of the initial system or averaged system there exists the corresponding trajectories of
this systems that are approximately equal on the asymptotically large time interval. It is proved
that an optimal control of the averaging problem is also an asymptotically optimal control for
the twoscale problem.

Keywords 
task of optimal control; system of differential equations with fast and slow variables; method of
averaging; asymptotically optimal control

DOI 
doi:10.15330/ms.44.1.4555

Reference 
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Pages 
4555

Volume 
44

Issue 
1

Year 
2015

Journal 
Matematychni Studii

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