复连通域上边界观测的抛物系统的最优边界控制问题

Optimal Boundany Control Problem of Parabolic System of Boundary Qbservation ON Complex Connected Domain

本文利用Lions.I.L所引入的方法,通过定义新的控制空间υ来讨论边界观测复连通区域上抛物系统的最优边界控制问题。给出最优控制所满足的最优性系统。大型铸钢件中瞬时温度场的控制问题便可归结为上述问题。

Using the method of Lions.J.L. [i], we discuss the optimal boundary control problemof parabolic system ofboundary observation on complex connected domain.By defining a new control space, the optimality system has been given in this paper.The control problem of the instantaneous temperature field on Large-scale casing steel can be reduced to above problem.