Summary
We consider a particular class of structured systems that can be modelled as a set of input/output subsystems that interconnect to each other, in the sense that outputs of some subsystems are inputs of other subsystems. Sometimes, it is important to preserve this structure in the reduced order system. Instead of reducing the entire system, it makes sense to reduce each subsystem (or a few of them) by taking into account its interconnection with the other subsystems in order to approximate the entire system in a so-called structured manner. The purpose of this paper is to present both Krylov-based and Gramian-based model reduction techniques that preserve the structure of the interconnections. Several structured model reduction techniques existing in the literature appear as special cases of our approach, permitting to unify and generalize the theory to some extent.
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Vandendorpe, A., Van Dooren, P. (2008). Model Reduction of Interconnected Systems. In: Schilders, W.H.A., van der Vorst, H.A., Rommes, J. (eds) Model Order Reduction: Theory, Research Aspects and Applications. Mathematics in Industry, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78841-6_14
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DOI: https://doi.org/10.1007/978-3-540-78841-6_14
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