Efficient solutions in V-KT-pseudoinvex multiobjective control problems: A characterization
The following multiobjective control problem is considered: \[ \text{Minimize}\quad \int^b_a f(t,x,u)\,dt, \] \[ \text{subject to}\quad x(a)= \alpha,\;x(b)= \beta,\;g(t,x,u)\leq 0,\;h(t,x,u)=\dot x,\quad t\in I. \] For this problem, the authors introduce V-KT-pseudoinvexity and prove that V-KT-pseudoinvexity is a necessary and sufficient condition for a Kuhn-Tucker point to be an efficient solution of the multiobjective control problem. An example is presented.
scientific article; zbMATH DE number 5612820
scientific article