一个半线性椭圆型变分不等式最优控制问题的近似解序列的收敛性

讨论了一个半线性椭圆型变分不等式近似最优控制问题.首先,利用分解法和对偶方法将原始问题转化成带有线性状态方程和对于状态是非凸限制的最优控制问题; 然后,在此基础上,给出了该问题近似解序列的收敛性.

The convergence of the approximate solution sequence of optimal control problem for a semi-linear elliptic variational inequality

In this paper, an approximate solution of the optimal control problem for a semi-linear elliptic variational inequality is considered. First of all, the primal problem is transformed into an optimal control problem with linear state equation and non-convex constraints on the state by means of decomposition and dual method; secondly, the convergence of the solution sequence of the approximate problem for it are proposed.