Approximation of solutions to the optimal control problems for systems with maximum

• Published in: Нелінійні коливання
• Date: 2018
• Main Authors: Dashkovskiy, S., Kichmarenko, O., Sapozhnikova, K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177186
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Approximation of solutions to the optimal control problems for systems with maximum / S. Dashkovskiy, O. Kichmarenko, K. Sapozhnikova // Нелінійні коливання. — 2018. — Т. 21, № 2. — С. 155-165. — Бібліогр.: 21 назв. — англ.

We consider optimal control problems for nonlinear systems which dynamics depends on the maximum of the control function and the maximum of the state over some prehistory time interval. We are interested in approximation of solutions for such kind of problems. Averaging method is developed for thi...