Abstract
This paper addresses a problem of finding distributed controllers for the robotic mass games, that is, to let robots organize themselves into a formation displaying a given grayscale image, over r-disk proximity networks. For solving this problem, we first extend the existing performance index representing the achievement degree of the mass games to the mass games over r-disk proximity networks. Based on this, we propose a solution to the problem and prove that the resulting formation locally minimizes the extended performance index. By numerical experiments with the standard image, it is demonstrated that the proposed controllers achieve the mass games.
