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Necessary optimality conditions for switching control problems

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  • 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.

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