Computation of control sets using subdivision and continuation techniques

A key notion for the analysis of the global behavior of control systems are control sets. Control sets are subsets of the state space where approximate controllability holds: from every point in a control set one can steer arbitrarily close to any other point in the control set. In general, it is not possible to find explicit formulas for control sets and their domains of attraction. Therefore, numerical methods are a natural part of a systematic analysis. We present a method for the computation of control sets, which is based on subdivision and continuation techniques.