Title of article
Three coefficients of a polynomial can determine its instability Original Research Article
Author/Authors
Alberto Borobia، نويسنده , , Sebasti?n Dormido، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
10
From page
67
To page
76
Abstract
We will prove that, in some cases, if we know only three coefficients of a polynomial with positive coefficients and without any restriction on the magnitude of its degree, we can conclude that the polynomial is unstable. Namely, if P(x)=∑i=02naix2n−i is a polynomial with positive coefficients and for some qset membership, variant{1,…,n−1} it is satisfied that
image
, then P(x) is unstable.
Keywords
Stable or Hurwitz polynomials , Robust control theory
Journal title
Linear Algebra and its Applications
Serial Year
2001
Journal title
Linear Algebra and its Applications
Record number
823372
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