Modeling the Behavior of Objects in the Pursuit Problem

This article provides a description of the developed behavior models of objects in the persecution task, the objects is the pursuer and pursued. The idea of the research is to development an algorithm for autonomous robotic systems. In the proposed behavior models, local dynamic coordinate systems are introduced, which are formed by the direction of movement of objects. For a certain interval of time, the object must decide in which direction it should move depending on the result of the analysis of the coordinates of the second object. Due to the fact that an object cannot move instantly when moving in space, in our problems, "inertia" is modeled using the angular velocity of rotation. According to the proposed models of the behavior of objects in the pursuit problem, programs are written in the computer math system "MathCAD", which can be found on the website of the author. The results of the programs obtained animated images of the movement of objects, references to which are given in the text of the article #CSOC1120.