Shahlar F. Maharramov2025-10-0620101547-58161553-166X10.3934/jimo.2010.6.47http://dx.doi.org/10.3934/jimo.2010.6.47https://gcris.yasar.edu.tr/handle/123456789/5880In 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.EnglishNonsmooth optimal control, Frechet superdifferential, Necessary optimal conditionsMAXIMUM PRINCIPLEArticle