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On the H2 norm and iterative model order reduction of linear switched systems

2017/12/06 by Gosea, Ion Victor, Antoulas, Athanasios C.
#93A15 #93A30 #93B05 #93B07 #93B11 #93C10 #93C15 #FOS: Electrical engineering #FOS: Mathematics #Numerical Analysis (math.NA) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.1712.03094

Abstract

A new definition of the H2 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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