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Stability and coefficients properites of polynomials of linear discrete systems

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Abstract

In this paper, by examining the coefficients of a given polynomial, we derive sufficient conditions for the zeros of the polynomial to be either inside the unit disk in the complex plane or at least one zero not inside the unit disk. The results are easily verifiable and provide handy ways of checking. Most results are proved using either Rouché's Theorem or fundamental mathematical ideas. Some of the results are extensions of known coefficient properties found in the literature.

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Authors and Affiliations

  1. Department of Mechanical and Industrial Engineering, University of Illionis at Urbana-Champaign, 1206 West Green Street, 61801, Urbana, IL, U.S.A.

    Jinn-Wen Wu

  2. Department of Control and Mechanical Engineering, Pusan National University, 30 Changjeon-dong, Kumjeong-ku, 609-735, Pusan

    Keum Shik Hong

  3. Dynamic Systems Division, Institute of Mechanical Technology, Pusan National University, Korea

    Jinn-Wen Wu & Keum Shik Hong

Authors
  1. Jinn-Wen Wu
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  2. Keum Shik Hong
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Wu, JW., Hong, K.S. Stability and coefficients properites of polynomials of linear discrete systems. KSME Journal 8, 1–5 (1994). https://doi.org/10.1007/BF02953237

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  • DOI: https://doi.org/10.1007/BF02953237

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