Email this article Asymptotically Optimal Control in a Linear Control System with Fast and Slow Variables
- Authors: Boitsova I.A.1
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Affiliations:
- Mechnikov Odessa State University
- Issue: Vol 226, No 3 (2017)
- Pages: 240-253
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239960
- DOI: https://doi.org/10.1007/s10958-017-3530-1
- ID: 239960
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Abstract
The problem of optimal control is described by a system of differential equations with fast and slow variables and by a terminal quality criterion. The control used in the problem is linear. We prove that the optimal control in the averaged problem is asymptotically optimal for the initial problem.
About the authors
I. A. Boitsova
Mechnikov Odessa State University
Author for correspondence.
Email: boitsova.irina@mail.ru
Ukraine, Dvoryanskaya Str., 2, Odessa, 65026
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