# American Institute of Mathematical Sciences

January  2010, 6(1): 47-55. doi: 10.3934/jimo.2010.6.47

## Necessary optimality conditions for switching control problems

 1 Department of Mathematics, Yasar University, Izmir, Turkey

Received  September 2008 Revised  August 2009 Published  November 2009

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.
Citation: Shahlar F. Maharramov. Necessary optimality conditions for switching control problems. Journal of Industrial and Management Optimization, 2010, 6 (1) : 47-55. doi: 10.3934/jimo.2010.6.47
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