Duality for a Class of Multiobjective Control Problems

In this paper, a class of multiobjective control problems is considered, where the objective and constraint functions involved are f t x t ˙ x t y t z t with x t ∈ Rn, y t ∈ Rn, and z t ∈ Rm, where x t and z t are the control variables and y t is the state variable.Under the assumption of invexity and its generalization, duality theorems are proved through a parametric approach to related properly efficient solutions of the primal and dual problems