求解无限维线性二次最优控制问题的一种新的途径

A New Approach to Infinite Dimensional LQ Optimal Control Problem

中文关键词:  无限维  线性二次最优控制  Yosida近似．

英文关键词:Infinite dimensional  optimal control  Yosida approximation.

中文摘要:

      本文借助Ｃ_０半群的Ｙｏｓｉｄａ近似构造无限维线性二次最优控制问题的相应近似，证明了后者的最优控制、Ｒｉｃｃａｔｉ方程之解（从而反馈算子）和最优状态函数均一致强收敛，极限即为原问题的解．

英文摘要:

      In this paper we construct the corresponding approximation of the solution to infiritedimensional LQ optimal control problem by virtue of Yosida approximation of the dy-namic operator,which is shown strongly converges to the solution of the original problem.