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Inverse Eigenvalue Problems for Multivariable Linear Systems

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Systems and Control in the Twenty-First Century

Part of the book series: Systems & Control: Foundations & Applications ((PSCT,volume 22))

Abstract

Many inverse eigenvalue problems appearing in control theory and other areas are characterized by polynomial equations. Algebraic geometry is the mathematical theory which deals with polynomial equations. It is extending the theory of linear algebra and it deals with the study of zero sets of systems of polynomial equations, i.e. algebraic sets and varieties, and with polynomial morphisms between varieties.

Supported in part by NSF grant DMS-9400965.

Supported in part by NSF grant DMS-9500594.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Notre Dame, 46556-5683, Notre Dame, IN, USA

    J. Rosenthal

  2. Department of Mathematics, Texas Tech University, 79409-1024, Lubbock, TX, USA

    X. A. Wang

Authors
  1. J. Rosenthal
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  2. X. A. Wang
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Editor information

Editors and Affiliations

  1. School of Engineering and Applied Science, Washington University, 63130-4899, St. Louis, MO, USA

    Christopher I. Byrnes

  2. Dept. of Mathematical Sciences, Northern Illinois University, 60115, DeKalb, IL, USA

    Biswa N. Datta

  3. Dept. of Mathematics, Texas Tech University, 79409, Lubbock, TX, USA

    Clyde F. Martin  & David S. Gilliam  & 

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© 1997 Springer Science+Business Media New York

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Rosenthal, J., Wang, X.A. (1997). Inverse Eigenvalue Problems for Multivariable Linear Systems. In: Byrnes, C.I., Datta, B.N., Martin, C.F., Gilliam, D.S. (eds) Systems and Control in the Twenty-First Century. Systems & Control: Foundations & Applications, vol 22. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-4120-1_16

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  • DOI: https://doi.org/10.1007/978-1-4612-4120-1_16

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-8662-2

  • Online ISBN: 978-1-4612-4120-1

  • eBook Packages: Springer Book Archive

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