Analytical Solution of Pursuit-Evasion Strategy using Equation of motion with Bounded Acceleration

Abstract

In this paper we utilize the principle of control theory to solve analytically a pursuit-evasion game by using equation of motion with bounded acceleration with v(t) being the relative velocity normal to th initial line of sight (ILOS) and y(t) is thec relative displacement normal to the ILOS. In pursuit-evasion game, the sole aim of the purfsuer is to make capture possible by minimizing the terminal miss y(tf) and for the evader is maximizing the terminal miss to make capture invariably impossible