A New Approach to Linear Pursuit-Evasion Problems

摘要

A new method is developed for the solution of linear pursuit-evasion problems. A pursuit-evasion problem, which will be defined precisely in a later section, mainly consists of a two dynamical systems usually denoted by P and E. It is assumed that P is trying to 'intercept' E against opposition from E, where 'interception' is defined in some precise way. The theory of minimum-normed linear functionals is used in this article to solve such problems of linear type. (Author)