A Class of Nondifferentiable Multiobjective Control Problems

Optimality conditions are derived for a class of nondifferentiable multiobjective control problems having a nondifferentiable term in each component of vector-valued integrand of objective functional. Using Karush-Kuhn-Tucker type optimality conditions, we formulate Mond-Weir type dual to the nondifferentiable control problem and derive duality results extensively under generalized invexity. Finally, it is indicated that our duality results can be considered as dynamic generalizations of those of nondifferentiable nonlinear programming problems recently obtained.