Email this article Approximation of Solutions to the Optimal Control Problems for Systems with Maximum
- Authors: Dashkovskiy S.1, Kichmarenko O.2, Sapozhnikova K.1
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Affiliations:
- University of Würzburg
- Mechnikov Odessa National University, Institute of Mathematics, Economics, and Mechanics
- Issue: Vol 243, No 2 (2019)
- Pages: 192-203
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/243080
- DOI: https://doi.org/10.1007/s10958-019-04535-z
- ID: 243080
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Abstract
We consider optimal control problems for nonlinear systems whose dynamics depends on the maximum of the control function and the maximum of the state over a certain time interval of prehistory. We are interested in the approximation of solutions for this kind of problems. An averaging method is developed for this purpose.
About the authors
S. Dashkovskiy
University of Würzburg
Author for correspondence.
Email: sergey.dashkovskiy@uni-wuerzburg.de
Germany, Würzburg
O. Kichmarenko
Mechnikov Odessa National University, Institute of Mathematics, Economics, and Mechanics
Email: sergey.dashkovskiy@uni-wuerzburg.de
Ukraine, Dvoryanskaya Str. 2, Odessa, 65026
K. Sapozhnikova
University of Würzburg
Email: sergey.dashkovskiy@uni-wuerzburg.de
Germany, Würzburg
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