English

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

Systems and Control 2017-12-11 v1 Numerical Analysis

Abstract

A new definition of the H2\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.

Keywords

Cite

@article{arxiv.1712.03094,
  title  = {On the $\mathcal{H}_2$ norm and iterative model order reduction of linear switched systems},
  author = {Ion Victor Gosea and Athanasios C. Antoulas},
  journal= {arXiv preprint arXiv:1712.03094},
  year   = {2017}
}

Comments

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