On the ${\mathcal{H}}_2$ norm and iterative model order reduction of linear switched systems

Abstract

A new definition of the ${\mathcal{H}}_2$ norm for linear switched systems is introduced. It is based on appropriately defined time-domain kernels, or equivalently, on infinite controllability and observability Gramian matrices. Furthermore, an extension of the iterative rational Krylov algorithm to the class of linear switched systems is proposed.

13 pages, 4 figures. arXiv admin note: text overlap with arXiv:1712.02158