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An Inverse Eigenvalue Problem from Control Theory

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Numerical Treatment of Inverse Problems in Differential and Integral Equations

Part of the book series: Progress in Scientific Computing ((PSC,volume 2))

Abstract

The basic pole assignment problem for time-invariant linear multivariable control systems is described together with a number of variants. The crucial concept of controllability is defined and the seminal theory of Wonham stated. Three formally constructive proofs of this result are outlined, though with no attempt to adjudicate between them on the grounds of numerical suitability. Finally some further open questions of potential interest to numerical analysts are mentioned.

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References

  1. V Bryant and H Perfect (1980) “Independence Theory in Combinatorics” Chapman and Hall, London.

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Authors
  1. L. R. Fletcher
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Editor information

Editors and Affiliations

  1. Institut für Angewandte Mathematik Abt. Numerische Mathematik, Universität Heidelberg, 6900, Heidelberg 1, Fed. Rep. of Germany

    Peter Deuflhard  & Ernst Hairer  & 

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© 1983 Birkhäuser Boston

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Fletcher, L.R. (1983). An Inverse Eigenvalue Problem from Control Theory. In: Deuflhard, P., Hairer, E. (eds) Numerical Treatment of Inverse Problems in Differential and Integral Equations. Progress in Scientific Computing, vol 2. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-7324-7_12

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  • DOI: https://doi.org/10.1007/978-1-4684-7324-7_12

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-0-8176-3125-3

  • Online ISBN: 978-1-4684-7324-7

  • eBook Packages: Springer Book Archive

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