Some results on practical stabilizability of discrete-time switched affine systems

In this paper, we continue our recent study on practical stabilizability of discrete-time (DT) switched systems. After briefly reviewing some practical stabilizability notions, we prove a sufficient condition for ϵϵ-practical asymptotic stabilizability. Then we focus on a class of DT switched systems — namely, switched affine systems — and present an approach to estimating the minimum bound for practical stabilizability. On the basis of the approach, we also present several new sufficient conditions for global ϵϵ-practical asymptotic stabilizability of such a class of systems. Since such a class of systems is often derived by sampling continuous-time (CT) switched systems, we finally present some preliminary results on the relationship between CT and DT switched affine systems.