A study on global stabilization of a class of discrete-time systems by using symbolic dynamics
In this report, we propose a control method for the stabilization of periodic orbits for a class of one-dimensional discrete-time systems that are topologically conjugate to symbolic dynamics. A periodic orbit is assigned as a target by giving a sequence in which symbols have periodicity. As a consequence, it is shown that any periodic orbits can be globally stabilized by using small control inputs. This work is the first attempt to systematically design the control systems based on symbolic dynamics.