Arnoldi model reduction for switched linear systems

In this paper we present a new method of reduction for large-scale switched system, which is an important class of hybrid and non linear systems. In this work, we focus on linear switched systems. This new method is based on the generation of Krylov subspace by the use of the Arnoldi algorithm, which is numerically efficient and applicable for any order, from which we solve the problem of H_∞ model reduction. We take one example to evaluate this method.