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arxiv: 1712.03094 · v1 · pith:JBSEZG7Lnew · submitted 2017-12-06 · 💻 cs.SY · cs.NA· cs.SY· math.NA

On the mathcal{H}₂ norm and iterative model order reduction of linear switched systems

classification 💻 cs.SY cs.NAcs.SYmath.NA
keywords linearswitchedsystemsiterativemathcalnormalgorithmappropriately
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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.

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