带有集值约束的最优控制问题的最优性必要条件

In this paper, we consider optimal control problems with set-valued state and control constraints.The present constraints subsume the existing mixed equality and inequality constraints.The necessary optimality conditions for weak local minimum are derived for these problemsunder calmness and constraint qualification condition on the set-valued constraints,but without any convexity or differentiability assumptions on the original data.The novelty of this paper concerns both the nature of calmness andthe analytic techniques used to derive the results.