Abstract. In this paper are presented some results connected to the applications of the averaging method for solving of optimal control problems, where the models are systems of differential equations with impulsive effects. We suppose additional control in the impulses. Four schemes for averaging are presented.

Received: September 3, 2011

AMS Subject Classification: 34C29, 34A60, 34A37, 49J21, 49K21

Key Words and Phrases: method of averaging, differential inclusion, impulsive differential inclusion, small parameter, controlled mechanical system

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 72
Issue: 4

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