赋范线性空间中动态目标集的最大时间函数的Fréchet次微分

Fréchet Subdifferential of the Maximal Time Function with Moving Target Sets in Normed Spaces

本文考虑赋范线性空间中动态目标集的最大时间函数.该函数由动态的目标集和非空仿射控制集决定,以最远距离函数为其特例.本文建立了动态目标集的最大时间函数的Frechet次微分的上下估计式,该估计式由相应的法锥和控制集的支撑函数表示.

In normed vector spaces,we study the maximal time function determined by a moving target set and a nonempty affine control set.It covers the farthest distance function as a special case.We establish the upper and lower estimates for Fréchet subdifferential of the maximal time function with moving target sets being representable by virtue of the appropriate normal cone and the support function of the control set.