Abstract
Fritz John and Kuhn-Tucker type necessary optimality con- ditions for a Pareto optimal (ecient) solution of a multiobjective con- trol problem are obtained by rst reducing the multiobjective control problem to a system of single objective control problems, and then using already established optimality conditions. As an application of Kuhn-Tucker type optimality conditions, Wolfe and Mond-Weir type dual multiobjective control problems are formulated and usual dual- ity results are established under invexity/generalized invexity, relating properly ecient solutions of the primal and dual problems. Wolfe and Mond-Weir type dual multiobjective control problems with free bound- ary conditions are also presented.
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