凸性
李普希茨连续性
限制
数学
功能(生物学)
常量(计算机编程)
集合(抽象数据类型)
应用数学
正多边形
数学优化
计算机科学
数学分析
几何学
进化生物学
机械工程
生物
金融经济学
工程类
经济
程序设计语言
作者
Nguyen Van Luong,Xiaolong Qin
摘要
We define the minimal time function associated with a collection of sets which is motivated by the optimal time problem for nonconvex constant dynamics. We first provide various basic properties of this new function: lower semicontinuity, principle of optimality, convexity, Lipschitz continuity, among others. We also compute and estimate proximal, Fréchet and limiting subdifferentials of the new function at points inside the target set as well as at points outside the target. An application to location problems is also given.
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