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Necessary optimality conditions for differential-difference inclusions with state constraints
Authors:Aurelian Cernea  Carmina Georgescu
Affiliation:a Faculty of Mathematics and Informatics, University of Bucharest, Academiei 14, 010014 Bucharest, Romania
b Faculty of Applied Sciences, University “Politehnica,” Spl. Independen?ei 313, Bucharest, Romania
Abstract:We consider the Mayer optimal control problem with dynamics given by a nonconvex differential-difference inclusion, whose trajectories are constrained to a closed set. Necessary optimality conditions in the form of the maximum principle are obtained.
Keywords:Differential-difference inclusions   Maximum principle   State constraints   Variational inclusions
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