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Model reduction by balanced truncation for systems with nuclear Hankel operators


Reference:

Guiver, C. and Opmeer, M.R., 2014. Model reduction by balanced truncation for systems with nuclear Hankel operators. SIAM Journal on Control and Optimization (SICON), 52 (2), pp. 1366-1401.

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    Official URL:

    http://dx.doi.org/10.1137/110846981

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    Abstract

    We prove the H-infinity error bounds for Lyapunov balanced truncation and for optimal Hankel norm approximation under the assumption that the Hankel operator is nuclear. This is an improvement of the result from Glover, Curtain, and Partington [SIAM J. Control Optim., 26(1998), pp. 863-898], where additional assumptions were made. The proof is based on convergence of the Schmidt pairs of the Hankel operator in a Sobolev space. We also give an application of this convergence theory to a numerical algorithm for model reduction by balanced truncation. © 2014 Societ y for Industrial and Applied Mathematics.

    Details

    Item Type Articles
    CreatorsGuiver, C.and Opmeer, M.R.
    DOI10.1137/110846981
    Related URLs
    URLURL Type
    http://www.scopus.com/inward/record.url?scp=84902655301&partnerID=8YFLogxKUNSPECIFIED
    DepartmentsFaculty of Science > Mathematical Sciences
    Research CentresCentre for Mathematical Biology
    EPSRC Centre for Doctoral Training in Statistical Mathematics (SAMBa)
    RefereedYes
    StatusPublished
    ID Code40288

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