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A Minimization Method for Systems with Singular Value Constraints

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Operations Research ’92

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Abstract

In multi variable control system design and structural engineering the optimization of important structural properties, like robustness, can be expressed as nondifferentiable global minimization problems (cf. e.g. [6]).

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References

  1. G. Alefeld, J. Herzberger. Introduction to Interval Computations. Academic Press, New York, 1983.

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  2. C. Jansson. A global optimization method using interval arithmetic. International Symposium on Computer Arithmetic and Scientific Computation, Oldenburg, Germany, 1.–4. October 1991, 1992.

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  3. C. Jansson, O. Kniippel. A global minimization method: The multi-dimensional case. Technical Report 92.1, TU Hamburg-Harburg, Technische Informatik III, Jan. 1992.

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  4. R. Lohner. Enclosing all eigenvalues of symmetric matrices. In Accurate Numerical Algorithms, A Collection of Research Papers, volume 1 of Research Reports ESPRIT, Project 1072, DIAMOND, pages 87–103. Springer, Berlin, 1989.

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  5. G. Mayer. A unified representation of enclosure methods for eigenpairs. ZAMM, 1992.

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  6. E. Polak, Y. Wardi. Nondifferentiable optimization algorithm for designing control systems having singular value inequalities. Automatica, 18(3):267–283, 1982.

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Author information

Authors and Affiliations

  1. Technische Informatik III, TU Hamburg-Harburg, Postfach 90 14 03, 2100, Hamburg 90, Germany

    Christian Jansson & Olaf Knüppel

Authors
  1. Christian Jansson
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  2. Olaf Knüppel
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Editor information

Editors and Affiliations

  1. Sozialökonomisches Seminar, Universität Hamburg, Von-Melle-Park 5, D-2000, Hamburg 13, FRG

    Alexander Karmann

  2. Institut für Statistik und Quantitative Ökonomik, Universität Bundeswehr Hamburg, Holstenhofweg 85, D-2000, Hamburg 70, FRG

    Karl Mosler  & Götz Uebe  & 

  3. Lehrstuhl für Wirtschaftsinformatik III, Universität Mannheim, Schloß, D-6800, Mannheim, FRG

    Martin Schader

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© 1993 Springer-Verlag Berlin Heidelberg

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Jansson, C., Knüppel, O. (1993). A Minimization Method for Systems with Singular Value Constraints. In: Karmann, A., Mosler, K., Schader, M., Uebe, G. (eds) Operations Research ’92. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-12629-5_56

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  • DOI: https://doi.org/10.1007/978-3-662-12629-5_56

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0679-3

  • Online ISBN: 978-3-662-12629-5

  • eBook Packages: Springer Book Archive

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