Skip to main content
SpringerLink
Log in

The new geometric criterion of polynomial stability

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

In this paper, we apply the connugacy and boundedness of the zeros for a polynomial fn(z) with real coefficienta (i=0,1,2...n). A new simple geometric criterion for stability of fn(z) is given which is very convenient for paplication.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Jemidovich, B. P.,Lectures for Mathematics Theory of Stability, Moscow (1977). (in Russian)

  2. Lasalie, J. P.,The stability of Dynamical Systems, HUST Press (1983). (Chinese version)

  3. Kurosh, A. T.,Higher Algebra, Chap. 8, Higher Education Publishing House (1956). (Chinese version)

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Huazhong Normal University, Wuhan

    Wang Xiao-jun

Authors
  1. Wang Xiao-jun
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Chou Huan-wen

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xiao-jun, W. The new geometric criterion of polynomial stability. Appl Math Mech 9, 485–488 (1988). https://doi.org/10.1007/BF02465686

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02465686

Keywords

Search

Navigation