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2010, Volume 6, Issue 1: 47-55. Doi: 10.3934/jimo.2010.6.47
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Necessary optimality conditions for switching control problems

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    Department of Mathematics, Yasar University, Izmir

Received:  August 31, 2008
Revised:  July 31, 2009
Published:  December 2009
Abstract Related Papers Cited by
    Abstract
  • In this paper we consider smooth and nonsmooth switching control problems. By applying Taylor incremental formula for the cost functional, first we obtain the necessary optimality condition for the smooth case. Then by applying the Freschet superdifferential and uniform upper subdifferentiability, we extend necessary condition to the nonsmooth switching control problems.
    Mathematics Subject Classification: Primary: 49N25, 49J52; Secondary: 49J15, 78M50.

    Citation:
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