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Symbolic Computations on Rings of Rational Functions and Applications in Control Engineering

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Computer Aided Systems Theory - EUROCAST 2009 (EUROCAST 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5717))

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Abstract

A collection of algorithms implemented in Mathematica 7.0, freely available over the internet, and capable to manipulate rational functions and solve related control problems using polynomial analysis and design methods is presented. The package provides all the necessary functionality and tools in order to use the theory of \(\it \Omega-\)stable functions, and is expected to provide the necessary framework for the development of several other algorithms that solve specific control problems.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Aristotle University of Thessaloniki, 54124, Thessaloniki, Greece

    N. P. Karampetakis & A. I. G. Vardulakis

  2. Department of Sciences, Technological Educational Institute of Thessaloniki, 54101, Thessaloniki, Greece

    E. N. Antoniou

  3. Department of Information and Communication Sciences, Technological Educational Institute of Serres, 62100, Serres, Greece

    S. Vologiannidis

Authors
  1. N. P. Karampetakis
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  2. E. N. Antoniou
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  3. A. I. G. Vardulakis
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  4. S. Vologiannidis
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Editor information

Editors and Affiliations

  1. Instituto Universitario de Ciencias y Tecnologías Cibernéticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira, 35017, Las Palmas de Gran Canaria, Las Palmas, Spain

    Roberto Moreno-Díaz  & Alexis Quesada-Arencibia  & 

  2. Institute of Systems Science, Johannes Kepler University Linz, Altenbergerstrasse 69, 4040, Linz, Austria

    Franz Pichler

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© 2009 Springer-Verlag Berlin Heidelberg

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Karampetakis, N.P., Antoniou, E.N., Vardulakis, A.I.G., Vologiannidis, S. (2009). Symbolic Computations on Rings of Rational Functions and Applications in Control Engineering. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory - EUROCAST 2009. EUROCAST 2009. Lecture Notes in Computer Science, vol 5717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04772-5_76

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  • DOI: https://doi.org/10.1007/978-3-642-04772-5_76

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04771-8

  • Online ISBN: 978-3-642-04772-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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