Automatica, Vol.37, No.2, 303-306, 2001
A switched server system of order n with all its trajectories converging to (n-1)! limit cycles
The paper analyzes an example of the discrete control of a continuous variable system. We prove that the switched server system with one server and an arbitrary number of buffers has a finite set of periodic trajectories which attracts all other trajectories of the system.
Keywords:limit cycles;dynamic systems;nonlinear systems;stability analysis;manufacturing systems;logic controllers;automata theory