In this paper, a nonconvex multitime control problem with first-order pde constraints is considered. Then, we investigate the absolute value exact penalty function method which is used for solving the aforesaid contro...
详细信息
In this paper, a nonconvex multitime control problem with first-order pde constraints is considered. Then, we investigate the absolute value exact penalty function method which is used for solving the aforesaid controlproblem. Namely, in order to ensure the effective use of the absolute value exact penalty function method in the considered case, the most important property of any exact penalty function method, that is, exactness of the penalization, is analyzed in the case when the aforementioned method is applied for solving the considered multitime control problem with first-order pde constraints in which the functionals involved are nonconvex. Thus, the equivalence between an optimal solution of the aforementioned controlproblem and a minimizer of its associated unconstrained multitimecontrolproblem constructed in the used absolute value exact penalty function method is proved under appropriate invexity hypotheses.
暂无评论