Arnoldi model reduction for switched linear systems (Q2627748)

Summary: In this paper, we present a new method of reduction for large-scale switched systems, which is an important class of hybrid and non-linear systems. In this work, we focused on the 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 problems \(H_{\infty}\) and \(H_{2}\) model reduction. We take three examples to evaluate this method.