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International Workshop on Mathematics Mechanization

International Workshop on Geometric Invariance and Applications in Engineering

IWMM 2004, GIAE 2004: Computer Algebra and Geometric Algebra with Applications pp 65–71Cite as

A Generalization of Xie-Nie Stability Criterion

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3519))

Abstract

In this paper, we obtain a sufficient condition for a polynomial with real positive coefficients to be stable, which generalizes Xie-Nie stability criterion.

Supported by the NNSF of China (No. 60273095), NKBRSF-2004CB318003 and NSF of Zhejiang (No. Y604089)

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References

  1. Xie, X.: A new criterion of linear system stability. Special Issue on Basic Theory of Transaction of Northeast Institute of Technology of China 1, 26–30 (1963) (in Chinese)

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Author information

Authors and Affiliations

  1. Institute of Information and Computing Sciences, Ningbo University, Ningbo, 315211, China

    Xiaorong Hou & Xuemin Wang

Authors
  1. Xiaorong Hou
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  2. Xuemin Wang
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Editor information

Editors and Affiliations

  1. Key Laboratory of Mathematics Mechanization, Academy of Mathematics and Systems Science, CAS, P.O. Box, 100080, Beijing, P.R. China

    Hongbo Li

  2. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, U.S.A.

    Peter J. Olver

  3. Institute of Computer Science, Christian-Albrecht-University, 24098, Kiel, Germany

    Gerald Sommer

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© 2005 Springer-Verlag Berlin Heidelberg

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Cite this paper

Hou, X., Wang, X. (2005). A Generalization of Xie-Nie Stability Criterion. In: Li, H., Olver, P.J., Sommer, G. (eds) Computer Algebra and Geometric Algebra with Applications. IWMM GIAE 2004 2004. Lecture Notes in Computer Science, vol 3519. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11499251_7

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  • DOI: https://doi.org/10.1007/11499251_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26296-1

  • Online ISBN: 978-3-540-32119-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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