一类L_∞最小范问题及其应用

A Kind of Minimum Norm Problem and Its Application

提出了一类L_∞[0,T]的子集上的最小范问题,得到了最小范元素的具体表达式,并给出了最小范元素在一类分布参数控制系统上最优控制问题上的应用。

In this paper, We bring forward a kind of minimum norm problem on the subspace of L[0,T] and derive the concrete formula of the minimum norm element of the minimum norm problem. We also discuss the optimal control problem on a kind of distributed parameter control system. The results gotten by us are very useful.