IJPAM: Volume 115, No. 1 (2017)
OPTIMAL CONTROL PROBLEM OF SYSTEM
WITH FAST PARAMETERS
Institute of Mathematics, Economics and Mechanics
Odesa National I.I. Mechnikov University
2, Dvoryanska Str., Odesa, 65082, UKRAINE
It is proved that the optimal control of the averaged problem is asymptotically optimal for the original problem.
The convergence of the original problem optimal solutions to the averaged problem optimal solutions is researched.
Received: April 4, 2017
Revised: May 21, 2017
Published: June 29, 2017
AMS Subject Classification: 34K35, 49K15, 49J15, 49J30
Key Words and Phrases: optimal control, averaging method, small parameter, weakly convergence, compact
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 93 - 114