IJPAM: Volume 72, No. 4 (2011)
PROBLEMS WITH IMPULSIVE EFFECTS
Bulgarian Academy of Sciences
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