Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity |
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Authors: | Rostyslav V Polyuga [Author Vitae] |
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Affiliation: | Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, P.O. Box 407, 9700 AK Groningen, The Netherlands |
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Abstract: | Model reduction of port-Hamiltonian systems by means of the Krylov methods is considered, aiming at port-Hamiltonian structure preservation. It is shown how to employ the Arnoldi method for model reduction in a particular coordinate system in order to preserve not only a specific number of the Markov parameters but also the port-Hamiltonian structure for the reduced order model. Furthermore it is shown how the Lanczos method can be applied in a structure preserving manner to a subclass of port-Hamiltonian systems which is characterized by an algebraic condition. In fact, for the same subclass of port-Hamiltonian systems the Arnoldi method and the Lanczos method turn out to be equivalent in the sense of producing reduced order port-Hamiltonian models with the same transfer function. |
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Keywords: | Port-Hamiltonian systems Model reduction Krylov methods Arnoldi method Lanczos method Structure preservation Markov parameters |
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