  In this paper, we provide two discrete-time multi-agent models which generate
periodic behaviors. The first one is a multi-agent system of identical double
integrators with input saturation constraints, while the other one is a
multi-agent system of identical neutrally stable system with input saturation
constraints. In each case, we show that if the feedback gain parameters of the
local controller satisfy a certain condition, the multi-agent system exhibits a
periodic solution.
