SOLUTION OF SIMPLE PURSUIT-EVASION PROBLEM WHEN EVADER MOVES ON A GIVEN CURVE
Atamurat Sh. KuchkarovINSPEM, UPM, Serdang, Selangor, 43400, Malaysia
ABI
Abstract
We investigate a simple motion pursuit-evasion differential game of one Pursuer and one Evader. Maximal speeds of the players are equal. The Evader moves along a given curve without self-intersection. There is no phase constraint for the Pursuer. Necessary and sufficient conditions to complete pursuit from both fixed initial position and all initial positions are obtained.