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(over dot)(t), y(t), z(t)) with x(t) is an element of R-n, y(t) is an element of R-n, and z(t) is an element of R-m, 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. (C) 2002 Elsevier Science (USA).