论文标题
PDE的参数最佳控制问题的变异NASH平衡的完全稳定性
Full Stability for Variational Nash Equilibriums of Parametric Optimal Control Problems of PDEs
论文作者
论文摘要
本文研究了一个由半线性椭圆形偏微分方程控制的参数非convex最佳控制问题系统的\ emph {变异nash平衡}的完全稳定性。我们首先获得了一些有关原始/参数非Conevex最佳控制问题系统的变异NASH平衡的新结果。然后，我们建立了Lipschitzian和Hölderian在扰动下的变异NASH平衡的完全稳定性的明确特征。这些结果推断了经典意义上的变异NASH平衡与局部NASH平衡之间的等效性。
This paper investigates full stability properties for \emph{variational Nash equilibriums} of a system of parametric nonconvex optimal control problems governed by semilinear elliptic partial differential equations. We first obtain some new results on the existence of variational Nash equilibriums for the system of original/parametric nonconvex optimal control problems. Then we establish explicit characterizations of the Lipschitzian and Hölderian full stability of variational Nash equilibriums under perturbations. These results deduce the equivalence between variational Nash equilibriums and local Nash equilibriums in the classical sense.
