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The Spectral Factorization Problem for Siso Distributed Systems

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Modelling, Robustness and Sensitivity Reduction in Control Systems

Part of the book series: NATO ASI Series ((NATO ASI F,volume 34))

Abstract

We study spectral factorization for singlevariable linear distributed systems, viz. those modelled by transfer functions (TF’s) in the algebra B̂(σ0) , [11], [26], where a) stability is guaranteed with a margin |σ0| , and b) delay is allowed in the direct input-output transmission. This enables us to generalize the graph metric, [16], to such systems. The results are particularized to TF’s of exponential order, viz. those in the subalgebra F̂(σ0) , [14]. The theory is illustrated by an application to robust feedback control.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Facultés Universitaires N.D. de la Paix, 8, Rempart de la Vierge, B-5000, Namur, Belgium

    F. M. Callier & J. Winkin

Authors
  1. F. M. Callier
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  2. J. Winkin
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Editor information

Editors and Affiliations

  1. Mathematics Institute, University of Groningen, 9700 AV, Groningen, The Netherlands

    Ruth F. Curtain

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© 1987 Springer-Verlag Berlin Heidelberg

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Callier, F.M., Winkin, J. (1987). The Spectral Factorization Problem for Siso Distributed Systems. In: Curtain, R.F. (eds) Modelling, Robustness and Sensitivity Reduction in Control Systems. NATO ASI Series, vol 34. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87516-8_27

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  • DOI: https://doi.org/10.1007/978-3-642-87516-8_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-87518-2

  • Online ISBN: 978-3-642-87516-8

  • eBook Packages: Springer Book Archive

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